Algebra 2 (1st Edition)

Published by McDougal Littell
ISBN 10: 0618595414
ISBN 13: 978-0-61859-541-9

Chapter 12 Sequences and Series - 12.3 Analyze Geometric Sequences and Series - 12.3 Exercises - Quiz for Lessons 12.1-12.3 - Page 817: 9

Answer

$\dfrac{137}{60}$

Work Step by Step

Here, we have $\sum_{i=2}^{6} \dfrac{1}{n-1}=\dfrac{1}{2-1}+\dfrac{1}{3-1}+\dfrac{1}{4-1}+\dfrac{1}{5-1}+\dfrac{1}{6-1}$ or, $=\dfrac{1}{2}+\dfrac{1}{2}+\dfrac{1}{3}+\dfrac{1}{4}+\dfrac{1}{5}$ or, $=\dfrac{1}{2} \times \dfrac{60}{60}+\dfrac{1}{2} \times \dfrac{30}{30}+\dfrac{1}{3} \times \dfrac{20}{20}+\dfrac{1}{4} \times \dfrac{15}{15}+\dfrac{1}{5} \times \dfrac{12}{12}$ or, $\times \dfrac{60+30+20+15+12}{60}=\dfrac{137}{60}$
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