We are trying to prove that a proposition P(n) is true for all n≥0 using mathematical induction. We have proven the Base Case P(0) and also proven that P(k)→P(k+1) for all k≥0 We could have proven the exact same result by proving that: a) P(k−1)→P(k) for all k≥−1 b) P(k)→P(k+1) for all k≥−1 c) P(k+1)→P(k+2) for all k≥−1 d) P(k+1)→P(k+2) for all k≥1

We are trying to prove that a proposition P(n) is true for all n≥0 using mathematical induction. We have proven the Base Case P(0) and also proven that P(k)→P(k+1) for all k≥0 We could have proven the exact same result by proving that: a) P(k−1)→P(k) for all k≥−1 b) P(k)→P(k+1) for all k≥−1 c) P(k+1)→P(k+2) for all k≥−1 d) P(k+1)→P(k+2) for all k≥1

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

Chapter8: Sequences, Series,and Probability

Section8.4: Mathematical Induction

Problem 2ECP

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