Precalculus: Mathematics for Calculus, 7th Edition

Published by Brooks Cole
ISBN 10: 1305071751
ISBN 13: 978-1-30507-175-9

Chapter 12 - Section 12.3 - Geometric Sequences - 12.3 Exercises - Page 865: 24

Answer

The first five terms of the sequence are 7, 13, 31, 85 and 247. The sequence is not geometric.

Work Step by Step

$a_{n} = 4+3^{n}$ is the formula we are given for the nth term of this sequence. To find the first 5 terms, plug in n =1 ,2, 3... and solve. Since the resulting terms (7,13,31,85,247) are not terms multiplied by a common ratio to get the next term the sequence is not a geometric sequence, and cannot be represented by a standard formula for the nth term of a geometric sequence
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