Answer
$\dfrac{7}{81}$
Work Step by Step
Since, we have
$\sum_{i=2}^{4}[\dfrac{(-1)^i}{3^i}]=[\dfrac{(-1)^2}{3^2}]+[\dfrac{(-1)^3}{3^3}]+[\dfrac{(-1)^4}{3^4}]$
or, $=\dfrac{1}{9}-\dfrac{1}{27}+\dfrac{1}{81}$
Hence, we get
$=\dfrac{7}{81}$
Intermediate Algebra for College Students (7th Edition)
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13417-894-7
ISBN 13:
978-0-13417-894-3
Chapter 11 - Section 11.1 - Sequences and Summation Notation - Exercise Set - Page 829: 24
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