Geometric progression worksheet pdf. mcTY-apgp-2009-1. To get from one term of a geometric sequence to the next you multiply by a number 𝑟, called the common quotient (or common ratio). u Worksheet by Kuta Software LLC Kuta Software - Infinite Algebra 2 Name_____ Finite Geometric Series Date_____ Period____ Evaluate the related series of each sequence. 15) , −3, ___, −108 , MadAsMaths :: Mathematics Resources Welcome to the geometry worksheets page at Math-Drills. txt) or read online for free. Find the value of the geometric series satisfying the following: a) 3u2n 1 t n n 7 b) n t n ( 2) n 10 c) 2 n 1 n t t t 1 4096 n 9 Level 5 – 6 5. Geometric Sequences Worksheet - 1. 14 NON-FOUNDATION Arithmetic and Geometric Sequences and their Summation Name : 14I Date : Mark : Multiple Choice Questions 1. Which term of the AP 21, 18, 15, …, is zero? Q3. t y,− {, u,− s… 7. The sum of the first 18 terms is -27,487,790,694. 57 KB. Sample problems are solved and practice problems are provided. 48 KB. The sum of the first two terms of the series is 15 and the sum of the first three terms of the series is 63. Q T cM YaDdPek OwkiGtFh i 6IYndf kiRnqictOed 6Atl yg 3eObdr5a4 k2B. , a n = ar n-1. b) The missing terms are 7 4, 7 7 8, 16. Determine the sum of the first nine terms. 15) a 1 = 0. Take two consecutive terms from the sequence. This set of Class 11 Maths Chapter 9 Multiple Choice Questions & Answers (MCQs) focuses on “Geometric Progression (G. Attached is a PPT I made for my top set Year 11 to teach them Geometric progressions/sequences as part of the new GCSE. Country: Malaysia. 1 26) a 12 = 28. -1-Find the common ratio, the explicit formula, and the term named in the problem. 4) 8, 10, 13, 17, Not geometric 5) 4, 24, 144, 864, r = 6 6) 2, -4, 8, -16, r = -2 7) 4, 16, 36, 64, Not geometric Determine if the sequence is geometric. Thusseries has the sum S= a−arn+1 1 −r = rst term −next term 1 − Below you will find practice worksheets for skills including using formulas, working with 2D shapes, working with 3D shapes, the coordinate plane, finding volume and surface area, lines and angles, transformations, the Pythagorean Theorem, word problems, and much more. Evaluate each arithmetic series described. 2) MATHEMATICS WORKSHEET CHAPTER-5: ARITHMETIC PROGRESSION VERY SHORT ANSWER TYPE QUESTIONS Q1. This problems relates to the nite geometric series S= a+ ar+ ar2 + + arn: (There are n+1 terms. (a) An arithmetic sequence is a sequence in which there is a common difference d between two adjacent terms. 6) The first term is 5 and the common ratio is 3. (c) Explain why James must be wrong. At {2 4, 8, 16,. Finishes with a tough worded problem. Calculate the next three terms for the geometric progression 1, 2, 4, 8, 16, 1, 2,4,8,16, …. The problems involve finding common ratios, individual terms, partial sums, and sums to infinity of various geometric series given information such as initial terms, common Finite Geometric Series Worksheets. Each day after that, the number of shoppers is 10 % more than the number of shoppers the day before. Midpoint. (c) The sum of the first 20 terms, giving your answer to the nearest whole number. 2 MB. b Find the sixth term of the series. 3. Given the first term and the common ratio of a geometric sequence find the explicit formula. The exercises require to find specific terms of a geometric sequence given a_1 and r or 2 of its terms (by solving a system of simultaneous equations), show that 3 numbers are successive terms of a geometric sequence and solve other (more advanced) problems on this topic. Plus each one comes with an answer key. Geometric: ¾, 3, 12, 48, 192, … a 1 = ¾ common ratio = 4 Recursive Definition (Formula) of a Sequence In order to describe a sequence to someone, we simply must tell them where to start, and then how to get the next What do you recall about geometric and arithmetic sequences from Algebra I? To get from one term of an arithmetic sequence to the next, you add a number , called the common difference. Identify a 1, n, and d for the The geometric sequences worksheets on this page require students to identify and predict patterns in progressions of numbers with nonlinear relationships to each other. The formula which tells us what the nth term in an arithmetic progression is. Thorough, comprehensive, and carefully designed to boost confidence and grades. An important mathematical skill is discovering patterns. A ball is dropped from the top of a 25-m ladder. Circles. Some important results concerning geometric progressions (g. Angle bisectors. Apr 17, 2018 · ARITHMETIC SEQUENCES & SERIES WORKSHEET The value of the nth term of an arithmetic sequence is given by the formula a n = a 1 + (n - 1)d where a 1 is the first term in the sequence, n is the position of the term in the sequence, and d is the common difference. Medians of triangles. Example 1: continuing a geometric sequence. If there are 6 terms, find the So, the side lengths of the map represent the terms of a geometric sequence. Given the geometric sequence ; ; ; calculate: 2. 13) a 32 = 622 , d = 20 14) a 18 14. Find the common difference. You need to fi nd the number of clicks it takes for the side length of the map to be 640 miles. A new shopping mall records 120 total shoppers on their first day of business. e. com Create your own worksheets like this one with Infinite Precalculus. 5-a-day Workbooks. Section A consists of 12 different sequences, and students are asked to circle any that are geometric. case of sequence 4. 8) The first term to exceed 7,000 is the 10th term. When finished with this set of worksheets, students will be able to recognize arithmetic and geometric sequences and calculate the common difference and common ratio. Problem 1. There are plenty of games and activities given in Geometric Sequences worksheets where students count how much of something there is. com Geometric Series Worksheet A - Free download as PDF File (. 96 KB. Country code: MY. P. 6 24) a 22 = −44 , d = −2 25) a 18 = 27. 2 Divide the second term by the first term to find the value of the common ratio, r r. 0 license and was authored, remixed, and/or curated by OpenStax via source content that was edited to the style and standards of the LibreTexts platform; a detailed edit history is Dec 12, 2019 · The Corbettmaths Practice Questions on Geometric Proof for Level 2 Further Maths Videos and Worksheets; Primary; 5-a-day. It includes some worked examples, some MWBs for them to try and then some questions to do in their books (with answers). n-1 , find the 3rd term of the sequence. Then fi nd the value of n for which f (n) 640. For instance, let’s look at the geometric sequence 4, 4/3, 4/9, 4/27, … where the first term is 4. 5) If the first term of an arithmetic series is 2, the last term is 20, and the increase constant is +2 … a) Determine the number of terms in the series b) Determine the sum of all the terms in the series 6) A geometric series has a sum of 1365. File previews. The constant difference is commonly known as common difference and is denoted by d. 16. where the n-th term is ar n−1 . a1 = 2, r = -4, and n = 18 1the first term2 because we want the sum of the first 18 terms. Apr 20, 2022 · Geometric progressions Geometric progressions Download PDF Interactive Worksheets For Students & Teachers of all Languages and Subjects. If it is geometric, find the common ratio and express the nth term of the sequence in the standard form 𝒂𝒏 Oct 4, 2021 · Country: Philippines. (1) 4. Aug 22, 2021 · 22/08/2021. 5) a n = 3 ⋅ (−4)n − 1 6) a n = 0. Creative Commons "Sharealike". A level maths: geometric sequences worksheet basic Worksheet worksheets Sum of arithmetic sequence worksheet with answers – kidsworksheetfun Sequences sequence nth term and 117 a = 34 8 Find a. (b) If T n is the general term of an arithmetic sequence, then T n − T n − 1 = d for n = 2, 3, 4, . Given the first term and the common difference of an arithmetic sequence find explicit rule and the 37th term. Previous: Reading Scales Practice Questions. 7) a 6 = 128 , r = 2 8) a 3 Worksheet by Kuta Software LLC Coordinate Algebra Geometric Sequences: Finding the nth term Name_____ ID: 1 Date_____ Period____ ©j a2k0t1c5G OKnu^tMa^ NS\oVfktMwJaZr`ed DLMLHCz. 7) 𝑛= n – 1. Each term increases by a factor of 4. The fourth term of a geometric series is 30; the ninth term is 960. The second term of an arithmetic sequence is 7. 1)-4, 1, 6, 11, … 2) 2, 8, 32, 128, … 3) 1. [Nos. How can you determine if a sequence is geometric?. EffortlessMath. 3 n if T n = 2 2. The above sequence of numbers is composed of n = 10 (b) Find the first term of the series. } r = 2 Geometric Progression Questions and Solutions. Download PDF. 7) a Arithmetic and geometric progressions. Find the 5th term. This is similar to the linear functions that have the form \ (y=m x+b . c Show that the sum of the first ten terms of the series is 50 857. Arithmetic progression is a sequence of numbers in which the difference of any two adjacent terms is constant. and a = 25. !Here are the first four terms of a number sequence. ! is " xed di! erence between consecutive terms is called the common di! erence of the arithmetic sequence. 6. What is the total number of shoppers that visited the mall in the first 7 days? Working with Arithmetic and Geometric Sequences 1. The first term of a geometric series is 3. Each one has model problems worked out step by step, practice problems, as well as challenge questions at the sheets end. An arithmetic sequence has a constant difference between each consecutive pair of terms. In other words, each term is a constant times the term that immediately precedes it. p. The Corbettmaths Practice Questions on Sequences. Primary Study Cards Sep 25, 2016 · Age range: 5-7. 15) a 2 = -12, r = -4 Find a 10 16) a 2 = -10, r = 5 Find a 9 Find the sum of each geometric series described Geometric Sequences Worksheet Determine whether each of the following sequences is arithmetic, geometric, or neither. Solution to Problem 1: Use the definition of a geometric sequence a2 = a1 × r = 10( − 1) = − 10a3 = a2 × r = − 10( − 1) = 10a4 = a3 × r = 10( − 1) = − 10a5 = a4 × r = − 10( − 1) = 10 . 4 , d = 0. Access this finite geometric series worksheets tenaciously prepared for high school students. 4 , d = 1. ) The rst term is a,thenumberris called the ratio (note to get from one term to the next term you multiply by the ratio) and arn is the last term. In this unit, you will investigate different types of patterns represented in geometric sequences. Altitudes of triangles. Suppose that you need to take 200 mg of an antibiotic twice a day, 12 hours apart, for a bout of pneumonia that leaves you sounding like a 7 3 = 11 7 = 4 Then d = 4. Objective: The student will be able to solve real-world problems involving geometric sequences. 8 , r = −5 16) a 1 = 1, r = 2 Given the first term and the common ratio of a geometric sequence find the recursive formula and the three terms in the sequence after the last one given. then show that 3a, 3b, 3c are in G. 1 2,1 4, 1 6,1 8 … Find the first five terms of the sequence and determine if it is geometric. !Here are the first four terms of a number Geometric Sequences - Worksheet Skill Group A - Continuing sequences Write the next 3 terms of each geometric sequence: 1) 2 , 4 , 8 , 16 , 32 , . For each of the following sequences: • Identify the Sequence as Arithmetic or Geometric • If Arithmetic, find the Common Difference; If Geometric, find the Common Ratio • Write a Recursive Formula and an Explicit Formula for the Sequence • Find the Specified Term of the Sequence a. Printable in convenient PDF format. 5-a-day GCSE 9-1; 5-a-day Primary; 5-a Problems with Solutions. School subject: Math (1061955) Main content: Geometric progression (1481905) From worksheet author: GEOMETRIC PROGRESSION. Equivalently, this number is the 18th partial sum of the sequence 2, -8, 32, -128, Á . is S n = a(1− rn) 1−r (valid only if r 6= 1) The sum of the terms of a geometric progression is known as a geometric series. Selina Concise Mathematics - Part II Solutions for Class 10 Maths ICSE Chapter 11: Get free access to Geometric Progression Class 10 Solutions which includes all the exercises with solved solutions. If we know the rst term in an arithmetic progression , and the di erence between terms, then we can work out the nth term, i. Two common types of mathematical sequences are arithmetic sequences and geometric sequences. In order to master the techniques explained here it is Determine if the sequence is geometric. Solution. b) The common ratio is − 1 2. Arithmetic and geometric progressions. pdf), Text File (. n+1 Given an arithmetic sequence -11, 2, 15, …, if T(m) is the first term that exceeds 200, find the value of m. We know, Nth term of G. (7) Find the 10th term of a G. Sequences are numerical and algebraic, increasing and decreasing and This is a geometric sequence with first terma 5 2, and common ratio quence is the common ratio: given by r 5 a n11 a n 5 2n11 2n 52. )”. 6 Feb 21, 2018 · pdf, 55. I hope you find these useful. 17) a 1 = −4, r = 6 18) a 1 This worksheet will see pupils identifying, completing and creating geometric sequences across three different sections as well as calculating the common ratio of sequences. Free Geometry worksheets created with Infinite Geometry. Next: Sequences nth Term Practice Questions. When Mar 17, 2015 · 6. 5, … For each of the following geometric sequences, find the common ratio. Q. For which values of xdoes each of the following series converge? a) X1 n=0 x+ 3 5 n b) X1 n=1 x 25 n 7. 3 The second and fifth terms of a geometric series are 75 and 129. 23) a 21 = −1. Find its common difference. Create your own worksheets like this one with Infinite Algebra 2. 13) a 1 = 4, r = 4 14) a 1 = -2, r = -6 Given the second term and the common ratio of a geometric sequence find the term named in the problem. If it is, find the common difference, the term named in the problem, the general formula, and the three terms in the sequence after the last one given. Explain your decisions. geometric sequence, use Equation (2). 4) The 10th term is 1310720 and the nth term is 5 × 4n−1 5) The first term is 4 3 and the 10th term is 26244. 8,r= −5 6) 1=1,r=2 Given the recursive formula for a geometric sequence find the common ratio, the first five terms, and the explicit formula. Solution: Given, First term, a=20. Let's write the terms in a geometric progression as u1; u2; u3; u4 and so on. Find the sum of the first 100 odd numbers 8. Feb 14, 2022 · An infinite geometric series is an infinite sum infinite geometric sequence. 3 calculate the value of the tenth term, correct to one decimal place. Other contents: Geometric Sequence. The problems cover finding terms of GPs given the first term and common ratio, determining the common ratio from terms, calculating sums of finite and Given the explicit formula for a geometric sequence find the common ratio, the first five terms, and the 8th term. Question 1: Here are the irst four terms of a number sequence D 9, 15, 21, 27, . !!. Geometric Progression Worksheet - Free download as PDF File (. pdf, 61. Loading ad Given the first term and the common ratio of a geometric sequence find the first five terms and the explicit formula. Each year Paul’s salary increases by 10% of the previous year’s salary. Find the missing parameters, the first term (a) or common ratio (r). You will also discern the difference between an arithmetic sequence and a geometric sequence. 4) 10, 20, 40, 80 Apr 24, 2019 · A Corbettmaths video on Geometric Progressions Finite geometric series word problems. If the first term of the sequence is a then the geometric progression is a, ar, ar 2 , ar 3 , . a) The missing terms are 144, 24, 4. 2 ¿QGWKHYDOXHRI n if T n = 3. Explore various types of sequences and series topics like arithmetic series, arithmetic sequence, geometric sequence, finite and infinite geometric series, special series, general sequence and series, recursive sequence and partial sum of the series. (1)!The 100th term of the number sequence is 407. (a) Write down the next term of the number sequence. Write down the common difference of each of the following arithmetic sequences. (a) Find the common ratio. . Section A consists of 12 different sequences, and pupils are asked to circle any that are geometric. (Total for question 2 is 6 marks) (2) (2) (2) (2) 3 The third term of a geometric series is 135 and the sixth term of the series is 40. Common ratio, r=4. Sequences sequence nth termGeometric sequence mcq worksheets series Geometric sequences50 geometric This extensive collection of series and sequence worksheets is recommended for high school students. 5) a n ( ) n Find a 6) a n ( )n Find a Given two terms in a geometric sequence find the common ratio, the explicit formula, and the recursive formula. Geometric sequence pdf examples example template business sampleGeometric sequence worksheets Worksheet sequences arithmetic chessmuseum related50 geometric sequence practice worksheet. pdf, 116. 1 show that this sequence of numbers is geometric 3. Apply. (9) In a G. This document contains 20 problems involving geometric series. 4 the general form for the sequence in terms of n. 8 Given two terms in an arithmetic sequence find the recursive formula. Z q hMnaGdoez Ew RiVtoh M ZI Ln FfYi bn6i Ct uem BAnlngTe Obsr bak E2 j. 1 −−−−4] Ex 1A: 1 Arithmetic sequence Geometric Sequences are built by repeatedly multiplying the same number (called the common ratio) to the first term a 1. If it is, find the common ratio. 4. Given the explicit formula for a geometric sequence find the common ratio, the term named in the problem, and the recursive formula. Given T n = n: 3. pptx, 2. Download the set. Along with Stepwise Solutions, Timing, PDF download to boost your the GCSE Maths Grades. we can work out what any term will be. Apr 16, 2023 · Geometric sequences. 1 the common ratio 2. Sequences are numerical and algebraic, increasing and decreasing Key Point A geometric progression, or GP, is a sequence where each new term after the first is obtained by multiplying the preceding term by a constant r, called the common ratio. 1) 2, 12 , 72 , 432 2) −1, 5, −25 , 125 These math worksheets are free to download and ensure that they cover geometric sequences numbers in an interactive and engaging manner. Finding the sum of a given arithmetic sequence: 1. 6 , d = 1. This page titled 12. Give your understanding of this concept a shot in the Solution. Graphic Organizer on All Formulas. Evaluate the related series of each sequence. It also explores particular types of sequence known as arithmetic progressions (APs) and geometric progressions (GPs), and the corresponding series. Using a n 2n, the values a 2 a 1, a 3 a 2, a 4 a 3, a 152 a 352358anda 10 5 2 must all be the same. A sequence like 1 or 4 above is called an arithmetic sequence or arithmetic progression: the number pattern starts at a particular value and then increases, or decreases, by the same amount from each term to the next. The sum of the infinite geometric series is given. Oct 7, 2019 · GCSE Revision Cards. Make a Plan Begin by writing a function f for the nth term of the geometric sequence. Watch the mathematicians cheer up with our pdf worksheets on the first term and common ratio of a geometric sequence! It's easy to identify the first term, and the common ratio is the constant that divides any term by its previous term. 3 to 1 decimal place. 5, 13. Determine the common ratio. Each geometry worksheet was created by a math educator with the goal of Feb 27, 2024 · A worksheet on geometric sequences. 27) a 18 2 The first three terms of a geometric series are (k − 8), (k + 4) and (3k + 2) respectively, where k is a positive constant. This set of printable worksheets encompasses 5 questions per page in the word format. These worksheets explain how to use arithmetic and geometric sequences and series to solve problems. An array of topics, like evaluating the sum of the geometric series, determining the first term, common ratio and number of terms, exercises on summation notation are included. 5) 1=0. Interior Angles of Polygons. This unit introduces sequences and series, and gives some simple examples of each. 2 the value of T 9 2. 15. a Find the value of k. Then write the explicit formula for the sequence. (b) Find the first term of the series. You can get more free worksheets on many topics, mix and match, with detailed step-by-step solutions at our website link on the worksheets. Q2. 6. 7) a Given the first term and the common ratio of a geometric sequence find the first five terms and the explicit formula. Mathematics. Grab some of these worksheets for free! Given a term in an arithmetic sequence and the common difference find the recursive formula and the three terms in the sequence after the last one given. 9) a 1 = 24 , d = 5 10) a 1 = 0, d = −3 11) a 1 = −32 , d = 20 12) a 1 = 12 , d = 10 Given a term in an arithmetic sequence and the common difference find the 52nd term and the explicit formula. \) A geometric sequence has a constant ratio between each pair of consecutive terms. Find the three terms. Must Practice GCSE (9-1) Maths Geometric Sequences Past Paper Questions. This well thought out worksheet has been structured to increase in difficulty gradually, beginning with scaffolded intro examples and building up to challenging extension questions that really get them thinking. −3, 1=−3 Worksheet by Kuta Software LLC Algebra 1 Review Arithmetic and Geometric Sequences ID: 1-1-Determine if the sequence is arithmetic. Get free PDF updated for 2023-24 syllabus to learn the concepts in detail and score good marks. the product of three consecutive terms is 27 and the sum of the product of two terms taken at a time is 57/2 . If the common ratio in a geometric series is less than Determine if the sequence is geometric. un = a + (n 1) d. Free trial available at KutaSoftware. If there is a common ratio you multiply by the same # each time. 5,8 This batch of pdf worksheets has word problems depicting a list of numbers with a definite pattern. is 20 and the common ratio is 4. 5, 40. Visit now! Worksheet on Geometric Series 1. 7. Students practice determining if a sequence is geoemtric (or not), finding ratios, finding the nth term of a geometric sequence and finding multiple subsequent terms of a sequence. Given a term in an arithmetic sequence and the common difference find the term named in the problem, the explicit formula, and the recursive formula. That is, the common di erence between the terms is 4. Check Details 50 geometric sequence worksheet answers. For a 10 5 1024. o Worksheet by Kuta Software LLC Find the missing term or terms in each geometric sequence. Detailed solutions are included. Use a calculator. For what value of p, are 2p + 1, 13, 5p – 3 three consecutive terms of an AP? Q4. The nth term of an AP is 7 – 4n. com where we believe that there is nothing wrong with being square! This page includes Geometry Worksheets on angles, coordinate geometry, triangles, quadrilaterals, transformations and three-dimensional geometry worksheets. is given by: ar(n−1) The sum of the first n terms of a g. 5, 4. t, x, s z, u x… 6. (b) Explain how you found your answer to (a) James says that the 20th term of the sequence is 122. 2. Instruct students to read through the arithmetic sequence word problems and find the next three terms or a specific term of the arithmetic sequence by using the formula a n = a 1 + (n - 1)d. whose 8th term is 768 and the common ratio is 2. thAn arithmetic sequence has a 10 term of 17 and a 14th term of 30. These are two worksheets on geometric sequence, each question has full step by step solutions. This worksheet will see studentss identifying, completing, and creating geometric sequences across three different sections, as well as calculating the common ratio of sequences. Angles. . A geometric progression is a list of terms as in an arithmetic progression but in this case the ratio of successive terms is a constant. 1) 2, 4, 12, 48, Find a 24 Not arithmetic Given the explicit formula for a geometric sequence find the common ratio, the term named in the problem, and the recursive formula. Download this collection of infinite geometric series worksheets that provide ample practice to check whether the series Rederive the formula for the sum of a nite geometric series: a+ ar+ + arn using the S rStrick. 1: If the first term of a G. School subject: Math (1061955) Main content: Algebra (2012775) From worksheet author: Geometric Sequence. Visit TopperLearning now! Our printable geometry worksheets contain exercises on shapes, angles, lines, slope, symmetry, transformation, area, perimeter, volume, scale factor and more. (1)! !(ii) Explain how you found your answer. Find the sum of the positive terms of the arithmetic sequence ô ñ, ô, ó í, … 9. Triangles. (8) If a, b, c are in A. Examples of arithmetic progression are as follows: Example 1: 3, 8, 13, 18, 23, 28 33, 38, 43, 48. 2, 1=2 8) 𝑛=an−1. !!11!15!19!23!(a) !(i) Write down the next term of the number sequence. 5. com RD Sharma Solutions for Class 11 Maths Chapter 20 Geometric Progressions provides solutions formulated by experts at BYJU'S. The sum of the first 4 terms of the arithmetic sequence is 12. (b) Consider the ratio a n11 a n 5 2S 2 1 3 D n 2S 2 1 Sep 5, 2019 · Practice Questions. w J [AqlqlY urfiIg[hMtlsN FrheYsDeardvgeOd^. Polygon Worksheets. Here we will take the numbers 4 4 and 8 8. Read and download free pdf of CBSE Class 11 Maths Geometric Progression and Sum Worksheet Set A. Find the terms a 2, a 3, a 4 and a 5 of a geometric sequence if a 1 = 10 and the common ratio r = - 1. 8 ⋅ 5n − 1 Given a term in a geometric sequence and the common ratio find the explicit formula and the three terms in the sequence after the last one given. !(b) Work out the 99th term of the number sequence. If it is geometric, find the common ratio. ) now follow: The nth term of a g. This document provides 13 practice problems involving geometric progressions. 39,062 So Much More Online! Please visit: www. 4: Geometric Sequences and Series is shared under a CC BY 4. Download printable Mathematics Class 11 Worksheets in pdf format, CBSE Class 11 Mathematics Chapter 9 Sequences and Series Worksheet has been prepared as per the latest syllabus and exam pattern issued by CBSE, NCERT and KVS. Resource type: Other. Enjoy these free sheets. If it is, find the common ratio and the three terms in the sequence after the last one given. If a n = n(n – 3)/ n + 4, then find 18 th term of Use the formula for the sum of the first n terms of a geometric sequence. Oct 5, 2021 · School subject: Math (1061955) Main content: Sequences (2011009) From worksheet author: Geometric Sequence. kt on no kr ox zp en ok fp ol