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(b) Prove that for every positive integer n that 1 × 22+2 × 3² + 3 × 4² + ... ·+n(n + 1)² = n(n + 1)(n + 2)(3n+ 5) 12

(b) Prove that for every positive integer n that 1 × 22+2 × 3² + 3 × 4² + ... ·+n(n + 1)² = n(n + 1)(n + 2)(3n+ 5) 12

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter10: Sequences, Series, And Probability
Section10.4: Mathematical Induction
Problem 28E
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Question
(b) Prove that for every positive integer n that 1 × 22+2 × 3² + 3 × 4² + ... ·+n(n + 1)² = n(n + 1)(n + 2)(3n+ 5) 12
Transcribed Image Text:(b) Prove that for every positive integer n that 1 × 22+2 × 3² + 3 × 4² + ... ·+n(n + 1)² = n(n + 1)(n + 2)(3n+ 5) 12
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