Answer
See below
Work Step by Step
We can prove this by induction.
$S(1) = 1$
Assuming $S(n) = n^2$
then, $S(n+1) = S(n) +a_{n+1}=S(n) + (2n+1) = n^2 + 2n +1 = (n+1)^2$
Which shows the formula holds.
Calculus 8th Edition
by Stewart, James
Published by
Cengage
ISBN 10:
1285740629
ISBN 13:
978-1-28574-062-1
Chapter 1 - Functions and Limits - Principles of Problem Solving - Problems - Page 103: 12
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