Intermediate Algebra (6th Edition)

Published by Pearson
ISBN 10: 0321785045
ISBN 13: 978-0-32178-504-6

Chapter 11 - Section 11.3 - Series - Exercise Set - Page 651: 36

Answer

$30$

Work Step by Step

Given that $ a_n=(n-1)^2 $ then the first 5 terms are \begin{array}{l} a_1=(1-1)^2\\ a_1=(0)^2\\ a_1=0 ,\\\\ a_2=(2-1)^2\\ a_2=(1)^2\\ a_2=1 ,\\\\ a_3=(3-1)^2\\ a_3=(2)^2\\ a_3=4 ,\\\\ a_4=(4-1)^2\\ a_4=(3)^2\\ a_4=9 ,\\\\ a_5=(5-1)^2\\ a_5=(4)^2\\ a_5=16 .\end{array} Hence, the sum is $ 0+1+4+9+16 = 30 .$
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