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: 18

Answer

The first five terms are: $b_1 = \dfrac{3}{2}; \\b_2= \dfrac{5}{4}; \\b_3= \dfrac{7}{6}; \\b_4= \dfrac{9}{8}; \\b_5= \dfrac{11}{10}$

Work Step by Step

The term is equal to $\dfrac{2n+1}{2n}$. For each term that is in the sequence, we plug in the given value for $n$: $b_1 = \dfrac{2(1)+1}{2(1)} = \dfrac{3}{2}; \\b_2= \dfrac{2(2)+1}{2(2)} = \dfrac{5}{4}; \\b_3= \dfrac{2(3)+1}{2(3)} = \dfrac{7}{6}; \\b_4= \dfrac{2(4)+1}{2(4)} = \dfrac{9}{8}; \\b_5= \dfrac{2(5)+1}{2(5)} = \dfrac{11}{10}$
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