Use mathematical induction to prove the following formulae for every positive integer n a) 1 / 1.2.3 + 1 / 2.3.4 + 1 / 3.4.5 + ⋯ + 1 / n(n + 1)(n + 2) = n(n + 3) / 4(n + 1)(n + 2) Ensure that you explain the steps taken. b) 13 + 33 + 53 +⋯ + (2n − 1)3 = n2 (2n2 -1) Ensure that you explain the steps taken.

Use mathematical induction to prove the following formulae for every positive integer n a) 1 / 1.2.3 + 1 / 2.3.4 + 1 / 3.4.5 + ⋯ + 1 / n(n + 1)(n + 2) = n(n + 3) / 4(n + 1)(n + 2) Ensure that you explain the steps taken. b) 13 + 33 + 53 +⋯ + (2n − 1)3 = n2 (2n2 -1) Ensure that you explain the steps taken.

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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