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: 41

Answer

The first five terms are: $a_1= 3$ $a_2 = \dfrac{3}{2}$ $a_3 = \dfrac{1}{2}$ $a_4 = \dfrac{1}{8}$ $a_5= \dfrac{1}{40}$

Work Step by Step

Use the given recursive formula to find the next four terms: $a_1= 3$ $a_2 = \dfrac{a_1}{n} = \dfrac{3}{2}$ $a_3 = \dfrac{a_2}{n} = \dfrac{\frac{3}{2}}{3} = \dfrac{3}{6} = \dfrac{1}{2}$ $a_4 = \dfrac{a_3}{n} = \dfrac{\frac{1}{2}}{4} = \dfrac{1}{8}$ $a_5= \dfrac{a_4}{n} = \dfrac{\frac{1}{8}}{5}=\dfrac{1}{40}$
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