Answer
$\frac{1093}{2187} \approx0.49977$
Work Step by Step
Use the formula for the sum of a geometric sequence, we have
$S_n=\frac{s_1(r^n-1)}{r-1}=\frac{(1/3)((1/3)^7-1)}{1/3-1}=\frac{1093}{2187} \approx0.49977$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Chapter 11 - Sequences; Induction; the Binomial Theorem - Chapter Review - Review Exercises - Page 859: 16
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