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Use Mathematical Induction to prove the following. 1 Show that 1+4+7++(3n − 2) + (3n − 2) = n(3n-¹), for all n > 1. 2

Use Mathematical Induction to prove the following. 1 Show that 1+4+7++(3n − 2) + (3n − 2) = n(3n-¹), for all n > 1. 2

College Algebra
College Algebra
10th Edition
ISBN:9781337282291
Author:Ron Larson
Publisher:Ron Larson
Chapter8: Sequences, Series,and Probability
Section8.4: Mathematical Induction
Problem 3ECP
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Mathematical Induction Exercise

Use Mathematical Induction to prove the following. 1 Show that 2 Show that for positive integer n, 1+3+6+ 3 Prove that 3 + 3² +3³ +. 1+4+7+...+(3n − 2) = n(³n-1), for all n > 1. - 2 ... + n(n+1) 2 = n(n+1)(n+2 6 +3+1 = 3n+2-3, for neZ+
Transcribed Image Text:Use Mathematical Induction to prove the following. 1 Show that 2 Show that for positive integer n, 1+3+6+ 3 Prove that 3 + 3² +3³ +. 1+4+7+...+(3n − 2) = n(³n-1), for all n > 1. - 2 ... + n(n+1) 2 = n(n+1)(n+2 6 +3+1 = 3n+2-3, for neZ+
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