Answer
The series diverges.
Work Step by Step
If |r| $\geq$ 1 the series diverges. Since r = -1 |r| = 1 which is $\geq$1 so the series diverges and a sum using the formula for the sum of an infinite geometric series cannot be used.
Precalculus: Mathematics for Calculus, 7th Edition
by Stewart, James; Redlin, Lothar; Watson, Saleem
Published by
Brooks Cole
ISBN 10:
1305071751
ISBN 13:
978-1-30507-175-9
Chapter 12 - Section 12.3 - Geometric Sequences - 12.3 Exercises - Page 865: 72
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