College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 8 - Sequences, Induction, and Probability - Exercise Set 8.1 - Page 716: 79

Answer

please see step-by-step

Work Step by Step

See p.711: The sum of the first $n$ terms of a sequence is represented by the summation notation $\displaystyle \sum_{i=1}^{n}a_{j}=a_{1}+a_{2}+a_{3}+a_{4}+\cdots+a_{n}$, where $i$ is the index of summation, $n$ is the upper limit of summation, and 1 is the lower limit of summation. --------------- For example, $\displaystyle \sum_{k=1}^{4}2k$ is the sum of the first 4 terms of the sequence whose general term is $a_{n}=2n\quad \qquad (a_{k}=2k)$ This sequence is written as 2,4,6,8,10,12,.... The sum of the first four terms: $\displaystyle \sum_{k=1}^{4}2k= 2+4+6+8=20$
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