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 8.4 - Page 751: 5

Answer

See below.

Work Step by Step

$S_k:4+8+12+...+4k=2k(k+1)$ $S_{k+1}:4+8+12+...+4(k+1)=2(k+1)((k+1)+1)\\S_{k+1}:4+8+12+...+(4k+4)=2(k+1)(k+2)$
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