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Find the sum, if it exists, of the terms of each …

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Problem 1 Problem 2 Problem 3 Problem 4 Problem 5 Problem 6 Problem 7 Problem 8 Problem 9 Problem 10 Problem 11 Problem 12 Problem 13 Problem 14 Problem 15 Problem 16 Problem 17 Problem 18 Problem 19 Problem 20 Problem 21 Problem 22 Problem 23 Problem 24 Problem 25 Problem 26 Problem 27 Problem 28 Problem 29 Problem 30 Problem 31 Problem 32 Problem 33 Problem 34 Problem 35 Problem 36 Problem 37 Problem 38 Problem 39 Problem 40 Problem 41 Problem 42 Problem 43 Problem 44 Problem 45 Problem 46 Problem 47 Problem 48 Problem 49 Problem 50 Problem 51 Problem 52 Problem 53 Problem 54 Problem 55 Problem 56 Problem 57 Problem 58 Problem 59 Problem 60 Problem 61 Problem 62

Problem 41 Easy Difficulty

Find the sum, if it exists, of the terms of each infinite geometric sequence. See Examples $\boldsymbol{8}$ and 9
$$
\sum_{i=1}^{\infty} \frac{9}{8}\left(-\frac{2}{3}\right)^{i}
$$

Answer

Related Courses

Precalculus

Beginning and Intermediate Algebra

Chapter 14

Sequences and Series

Section 3

Geometric Sequences

Related Topics

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

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Watch More Solved Questions in Chapter 14

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Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

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Problem 24

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Problem 27

Problem 28

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Problem 32

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Problem 37

Problem 38

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Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Video Transcript

Given the infinite sum, we calculate goodbye the first term, which the first term would be 98 times negative two thirds to the first, which would be negativity 18 24th Or -3/4. And so that's the first term -3 Force over one minus the common ratio, which would be negative two thirds. So again that negative 3/4 over 1 -23, that is negative 9/20.

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Margaret L. Lial , John Hornsby

Beginning and Intermediate Algebra

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Related Topics

Introduction to Sequences and Series

Introduction to Combinatorics and Probability

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