## Algebra 2 (1st Edition)

Published by McDougal Littell

# Chapter 12 Sequences and Series - 12.4 Find Sums of Infinite Geometric Series - 12.4 Exercises - Problem Solving - Page 824: 38

See below.

#### Work Step by Step

An infinite geometric series has a sum if and only if $|r|\lt1$, where $r$ is the common ratio. If it exists, then it equals $\frac{a_1}{1-r}$ where $a_1$ is the first term. $r=0.88$ from the exercise Here $|0.88|\lt1$. Hence the sum (and the upper bound): $\dfrac{350000}{1-0.88}=2916666+\frac{2}{3}$

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