Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - 12.5 Use Recursive Rules with Sequences and Functions - 12.5 Exercises - Quiz for Lessons 12.4-12.5 - Page 833: 1

Answer

$\frac{7}{2}$

Work Step by Step

An infinite geometric series has a sum if and only if $|r|\lt1$, where $r$ is the common ratio. It equals $\frac{a_1}{1-r}$ where $a_1$ is the first term. Here $|\frac{3}{7}|\lt1$. Hence the sum: $\dfrac{2}{1-\frac{3}{7}}=\frac{7}{2}$
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.