Using a Proof by Induction, prove that (122-4)=4n²(n+1) for all integers n 21. Clearly state the proposition to be proved, Basis of Induction, Induction Hypothesis, and Induction Step. Clearly indicate where the Induction Hypothesis is used in your proof.

College Algebra (MindTap Course List)
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ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
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Chapter8: Sequences, Series, And Probability
Section8.5: Mathematical Induction
Problem 43E
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QUESTION 12. (1
Using a Proof by Induction, prove that
n
(12²-4i) = 4n²(n+1) for all integers n ≥ 1.
Clearly state the proposition to be proved, Basis of Induction, Induction Hypothesis, and
Induction Step. Clearly indicate where the Induction Hypothesis is used in your proof.
Transcribed Image Text:QUESTION 12. (1 Using a Proof by Induction, prove that n (12²-4i) = 4n²(n+1) for all integers n ≥ 1. Clearly state the proposition to be proved, Basis of Induction, Induction Hypothesis, and Induction Step. Clearly indicate where the Induction Hypothesis is used in your proof.
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