1.Proving using Mathematical Induction a. Let, in the following, P(n) be the statement that 1^2+2^2+...+n^2 = n(n+1)(2n+1)/6 for the positive integer n.  b. 2n4

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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1.Proving using Mathematical Induction

a. Let, in the following, P(n) be the statement that 1^2+2^2+...+n^2 = n(n+1)(2n+1)/6 for the positive integer n. 

b. 2n<n! where in n>4

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