Algebra 2 (1st Edition)

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

Chapter 12 Sequences and Series - 12.3 Analyze Geometric Sequences and Series - 12.3 Exercises - Quiz for Lessons 12.1-12.3 - Page 817: 3


1/12, see below

Work Step by Step

The Numerators form a pattern; they are simply $n$. The denominators form a pattern too; they are the multiples of 10, starting with 20. Thus, the nth term is the combination of the two. $a_n = n/(10+10n)$ The next term will be... $a_5 = 5/(10+50)=1/12$
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