Answer
Diverges
Work Step by Step
Formula to find the sum of a geometric series is
$S=\dfrac{a}{1-r}$
Here, $a=1, r=-3$;
Here, the common ratio for a geometric series i$r=-3$ and $|-3| \gt 1$.
Thus, the series diverges.
Thomas' Calculus 13th Edition
by Thomas Jr., George B.
Published by
Pearson
ISBN 10:
0-32187-896-5
ISBN 13:
978-0-32187-896-0
Chapter 10: Infinite Sequences and Series - Section 10.2 - Infinite Series - Exercises 10.2 - Page 579: 16
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