Prove by induction that for any natural number N, 1 N Σ42 = 6 N(N + 1)(2N + 1). k=1 Indicate clearly where you use the inductive hypothesis.
Prove by induction that for any natural number N, 1 N Σ42 = 6 N(N + 1)(2N + 1). k=1 Indicate clearly where you use the inductive hypothesis.
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 32E: Prove by induction that 1+2n3n for n1.
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Transcribed Image Text:Prove by induction that for any natural number N,
1
N
Σ42
=
6
N(N + 1)(2N + 1).
k=1
Indicate clearly where you use the inductive hypothesis.
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