Arithmetic And Geometric Sequences Worksheet With Answers Arithmetic and Geometric Sequences Date Period Find the three terms in the sequence after the last one given Write a brief description of the pattern 4 1 6 11 0 6 3 15 75 4 20 100 500 37 35 33 31
Given a term in a geometric sequence and the common ratio find the first five terms the explicit formula and the recursive formula 21 22 Given two terms in a geometric sequence find the 8th term and the recursive formula 23 25 26 Comparing Arithmetic and Geometric Sequences Date Period For each sequence state if it is arithmetic geometric or neither Create your own worksheets like this one with Infinite Algebra 2 Free trial available at KutaSoftware Title Comparing Arithmetic and Geometric Sequences
Arithmetic And Geometric Sequences Worksheet With Answers
Arithmetic And Geometric Sequences Worksheet With Answers
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These worksheets introduce the concepts of arithmetic and geometric series In these worksheets students will determine if a series is arithmetic or geometric They will find the common difference in arithmetic sequences They will find the common ratio in geometric sequences 1 1 0 2 2 Find the common difference and the three terms in the sequence after the last one given 7 39 33 27 21 8 27 17 7 3 9 17 13 9 5 1 23 43 21 10 5 15 15 5 Find the common difference and the recursive formula 11 9 19 29 39 12 22 19 16 13
Z q hMnaGdoez Ew RiVtoh M ZI Ln FfYi bn6i Ct uem BAnlngTe Obsr bak E2 j o Worksheet by Kuta Software LLC Find the missing term or terms in each geometric sequence 15 3 108 To find any term of a geometric sequence an a1 rn 1 where a1 is the first term of the sequence r is the common ratio n is the number of the term to find View worksheet Independent Practice 2 Students find the Arithmetic and Geometric Sequences in assorted problems The answers can be found below Find the d or r a n and S n
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Comparing Arithmetic and Geometric Sequences For each sequence state if it is arithmetic geometric or neither 4 7 10 13 2 8 14 20 1 7 15 31 0 3 8 15 24 4 16 36 64 10 1 4 9 16 25 1 5 25 125 625 4 36 64 100 29 34 39 44 49 4 12 36 108 324 40 43 46 49 52 1 3 6 10 15 34 26 18 10 2 Two common types of mathematical sequences are arithmetic sequences and geometric sequences An arithmetic sequence has a constant difference between each consecutive pair of terms This is similar to the linear functions that have the form y mx b y m x b A geometric sequence has a constant ratio between each pair of consecutive terms
An arithmetic sequence is a sequence where the difference between consecutive terms is always the same The difference between consecutive terms an an 1 is d the common difference for n greater than or equal to two In each of these sequences the difference between consecutive terms is constant and so the sequence is arithmetic Given the first term and the common ratio of a geometric sequence find the explicit formula 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 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
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Arithmetic And Geometric Sequences Worksheet With Answers - Complete the table below and answer the following questions a What type of function is this Why This pattern can also be called an sequence because it has a b Write the equation of the function c Find f 8 TYPES OF SEQUENCES