Calculus: Early Transcendentals (2nd Edition)

Published by Pearson
ISBN 10: 0321947347
ISBN 13: 978-0-32194-734-5

Chapter 8 - Sequences and Infinite Series - 8.1 An Overview - 8.1 Exercises: 74

Answer

a) First four terms: $1,3,6,10$ b) Limit doesn't exist

Work Step by Step

$$\sum_{k=1}^{\infty} k$$ Part A) $a_1 = 1$ $a_2 = 1 + 2 = 3$ $a_3 = 3 + 3 = 6$ $a_4 = 6 + 4 = 10$ Part B) Limit doesn't exist because sum seems to be increasing without a limit as $k$ increases.
Update this answer!

You can help us out by revising, improving and updating this answer.

Update this answer

After you claim an answer you’ll have 24 hours to send in a draft. An editor will review the submission and either publish your submission or provide feedback.