Use the 3 step Mathematical Induction process to prove thefollowing statements. You must label and show all threesteps.Step 1: Prove n = 1 is trueStep 2: Assume true for all n = kStep 3: plug in k+1 and show it is true.Prove:36 + 324 +900+...+(12n − 6)²=12n(4n² — 1)

Answered: Prove: 36 + 324 + 900+...+(12n − 6)² =…

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Trigonometry

Prove: 36 + 324 + 900+...+(12n − 6)² = 12n(4n² − 1) - -

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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Question

100%

Use the 3 step Mathematical Induction process to prove the
following statements. You must label and show all three
steps.
Step 1: Prove n = 1 is true
Step 2: Assume true for all n = k
Step 3: plug in k+1 and show it is true.
Prove:
36 + 324 +900+...+(12n − 6)²
=
12n(4n² — 1)

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