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: 17

Answer

The first five terms are: $a_1 = \dfrac{1}{3}; \\a_2= \dfrac{1}{2}; \\a_3= \dfrac{3}{5}; \\a_4= \dfrac{2}{3}; \\a_5= \dfrac{5}{7}$

Work Step by Step

The term is equal to $\dfrac{n}{n+2}$. For each term that is in the sequence, we plug in the given value for $n$: $a_1 = \dfrac{1}{1+2} = \dfrac{1}{3}; \\a_2= \dfrac{2}{2+2} = \dfrac{2}{4} = \dfrac{1}{2}; \\a_3= \dfrac{3}{3+2} = \dfrac{3}{5}; \\a_4= \dfrac{4}{4+2} = \dfrac{4}{6} = \dfrac{2}{3}; \\a_5= \dfrac{5}{5+2} = \dfrac{5}{7}$
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