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Q 54.

Found in: Page 615


Book edition 1st
Author(s) Peter Kohn, Laura Taalman
Pages 1155 pages
ISBN 9781429241861

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Short Answer

Determine whether the series k=0-98k converges or diverges. Give the sum of the convergent series.

The series k=0-98k diverges.

See the step by step solution

Step by Step Solution

Step 1. Given information.

Given a series k=0-98k.

Step 2. Find if the series converges or not.

The series k=0-98k is in the standard form k=0crk for a geometric series with c=1 and r=-98.

The geometric series converges if and only if r<1.

Since localid="1648966760738" r=-98, it follows that the series localid="1648966763917" k=0-98k diverges.


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