Precalculus (6th Edition)

Published by Pearson
ISBN 10: 013421742X
ISBN 13: 978-0-13421-742-0

Chapter 11 - Further Topics in Algebra - 11.1 Sequences and Series - 11.1 Exercises - Page 1015: 82



Work Step by Step

$\sum ^{6}_{i=1}\left( 2+i-i\right) ^{2}=\sum ^{6}_{i=1}2+\sum ^{6}_{i=1}i-\sum ^{6}_{i=1}i^{2}=2\times n+\dfrac {n\left( n+1\right) }{2}-\dfrac {n\left( n+1\right) \left( 2n+1\right) }{6}=2\times 6+\dfrac {6\times \left( 6+1\right) }{2}-\dfrac {6\times \left( 6+1\right) \left( 2\times 6+1\right) }{6}=58 $
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