Algebra 2 (1st Edition)

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

Chapter 12 Sequences and Series - Chapter Test - Page 843: 9

Answer

See below.

Work Step by Step

The difference between subsequent terms is constant, hence it is an arithmetic sequence with $a_1=5$ and common difference $6$. Thus the next term is $29$. The nth term of an arithmetic sequence can be obtained by the following formula: $a_n=a_1+(n-1)d$, where $a_1$ is the first term and $d$ is the common difference. Hence here $a_n=5+(n-1)6$.
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