College Algebra 7th Edition

Published by Brooks Cole
ISBN 10: 1305115546
ISBN 13: 978-1-30511-554-5

Chapter 8, Sequences and Series - Section 8.5 - Mathematical Induction - 8.5 Exercises: 2

Answer

(ii) "If P(k) is true, then P(k+1) is true."

Work Step by Step

In Step 2 of mathematical induction we prove the second statement: (ii) "If P(k) is true, then P(k+1) is true." This statement, along with proving that $P(1)$ is true, allows us to prove that $P(n)$ is true for all $n$.
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