Algebra 2 (1st Edition)

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

Chapter 12 Sequences and Series - 12.4 Find Sums of Infinite Geometric Series - 12.4 Exercises - Problem Solving - Page 824: 37



Work Step by Step

Here, we have $a_n= a_1 r^{n-1}$ for the Geometric series. The sum of an infinite Geometric Series can be found using: $S_n=\dfrac{a_1}{1-r}$ In the given problem it has been noted that the distance decreases by $80\%$ or, $0.8$. Thus, we have a first term $a_1=14$ and common ratio $r=0.8$ Therefore, we have $S=\dfrac{14}{1-0.8}$ Hence, $S=\dfrac{14}{0.2}=70$
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.