Using mathematical induction, prove that this equation holds for any n 2 1: n(n + 1)(n + 2) 1x 2+ 2 x 3 +3 x 4 + .+ n(n+ 1) = 3

Algebra and Trigonometry (6th Edition)
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ChapterP: Prerequisites: Fundamental Concepts Of Algebra
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Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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5. Using mathematical induction, prove that this equation holds for any n 2 1:
n(n + 1)(n + 2)
3
1x 2 + 2 x 3+ 3 x 4 + ...+ n(n + 1) =-
Transcribed Image Text:5. Using mathematical induction, prove that this equation holds for any n 2 1: n(n + 1)(n + 2) 3 1x 2 + 2 x 3+ 3 x 4 + ...+ n(n + 1) =-
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