Algebra 2 (1st Edition)

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

Chapter 12 Sequences and Series - Chapter Review - Page 841: 17

Answer

$a_n=256\cdot(0.25)^{n-1}$

Work Step by Step

The nth term of a geometric series can be obtained by the following formula: $a_n=a_1\cdot r^{n-1}$, where $a_1$ is the first term and $r$ is the common ratio. Here the common ratio is $64/256=0.25$ and $a_1=256$. Hence here $a_n=256\cdot(0.25)^{n-1}$
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