Answer
$2+4+6=3(3+1)$,
$2+4+6+...+ 2(k+1)=(k+1)(k+2)$.
Work Step by Step
Following the previous statements, we have:
If $n=3$, the statement is
$2+4+6=3(3+1)$
If $n=k+1$, the statement is
$2+4+6+...+ 2(k+1)=(k+1)(k+2)$.
Precalculus (6th Edition) Blitzer
by Blitzer, Robert F.
Published by
Pearson
ISBN 10:
0-13446-914-3
ISBN 13:
978-0-13446-914-0
Chapter 10 - Section 10.4 - Mathematical Induction - Concept and Vocabulary Check - Page 1084: 2
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