College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 8, Sequences and Series - Section 8.3 - Geometric Sequences - 8.3 Exercises - Page 615: 28

Answer

The first five terms are: $a_1 = 1 \\a_2 = 4 \\a_3 = 27 \\a_4= 256 \\a_5=3125$ RECALL: A sequence is geometric if there is a common ratio among consecutive terms. Note that consecutive terms do not have a common ratio. Thus, the sequence is not geometric.

Work Step by Step

To find the first five terms, substitute 1, 2, 3, 4, and 5 to the given formula. $a_1 = 1^1=1 \\a_2 = 2^2=4 \\a_3 = 3^3=27 \\a_4= 4^4=256 \\a_5=5^5=3125$ RECALL: A sequence is geometric if there is a common ratio among consecutive terms. Note that consecutive terms do not have a common ratio. Thus, the sequence is not geometric.
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