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: 34


$a_1 = \frac{1}{10}$ $a_2 = \frac{1}{100}$ $a_3 = \frac{1}{1000}$ $a_4 = \frac{1}{10000}$ Converges. The limit of the sequence is $0$.

Work Step by Step

$a_{n+1} = \frac{a_n}{10}$; $a_0 = 1$ $a_1 = \frac{a_0}{10} = \frac{1}{10}$ $a_2 = \frac{a_1}{10} = \frac{1}{100}$ $a_3 = \frac{a_2}{10} = \frac{1}{1000}$ $a_4 = \frac{a_3}{10} = \frac{1}{10000}$ Converges and approaches zero. The values of the sequence are decreasing, but given the equation, cannot be negative.
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.