Discrete Mathematics and Its Applications, Seventh Edition

Published by McGraw-Hill Education
ISBN 10: 0073383090
ISBN 13: 978-0-07338-309-5

Chapter 5 - Section 5.1 - Mathematical Induction - Exercises - Page 330: 13

Answer

Basic Step: 1=1 Inductive Step: 1^{2} + ... + (-1)^{k-1} k^{2} + (-1)^{k} (k+1)^{2} = (-1)^{k} (k+1) (k+2) / 2

Work Step by Step

Basic Step: 1=1 Inductive Step: 1^{2} + ... + (-1)^{k-1} k^{2} + (-1)^{k} (k+1)^{2} = (-1)^{k} (k+1) (k+2) / 2
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