College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter 9 - Section 9.1 - Sequences - 9.1 Assess Your Understanding: 26

Answer

The first five terms are: $c_1 = \dfrac{1}{2}; \\c_2= 1; \\c_3= \dfrac{9}{8}; \\c_4= 1; \\c_5= \dfrac{25}{32}$

Work Step by Step

Substitute $n=1, 2, 3, 4, 5$ to obtain: $c_1 = \dfrac{1^2}{2^1}=\dfrac{1}{2}; \\c_2= \dfrac{2^2}{2^2}=1; \\c_3= \dfrac{3^2}{2^3}=\dfrac{9}{8}; \\c_4= \dfrac{4^2}{2^4}=\dfrac{16}{16}=1; \\c_5= \dfrac{5^2}{2^5}=\dfrac{25}{32}$
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