Precalculus: Mathematics for Calculus, 7th Edition

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: 73

Answer

The series diverges.

Work Step by Step

When |r| $\geq1$ the series diverges. Since r = -1.1, since every term is multiplied by -1.1 to get to the next, the series diverges and a sum for the series cannot be written using the formula for the sum of an infinite geometric series.
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