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Use induction to prove the following formula holds for all n e N: 6.3+ 12 · 4 + 18 · 5 + + 6n(n + 2) = n(n +1)(2n + 7).

Use induction to prove the following formula holds for all n e N: 6.3+ 12 · 4 + 18 · 5 + + 6n(n + 2) = n(n +1)(2n + 7).

College Algebra
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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Use induction to prove the following formula holds for all n e N: 6 -3+ 12 · 4+ 18 · 5 + ...+ 6n(n + 2) = n(n + 1)(2n + 7).
Transcribed Image Text:Use induction to prove the following formula holds for all n e N: 6 -3+ 12 · 4+ 18 · 5 + ...+ 6n(n + 2) = n(n + 1)(2n + 7).
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