The question is attached 4.With the fact of 1² + 2² + ... + n² = n(n + 1)(2n +1)/6, prove thatn nΣΣ(i - j) ²:n² (²1)6-i=1 j=1Hint: Use mathematical induction.

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Answered: 4. With the fact of 1² +2²+...+ n² =…

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter10: Sequences, Series, And Probability

Section10.4: Mathematical Induction

Problem 2E

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4. With the fact of 1² +2²+...+ n² = n(n+1)(2n + 1)/6, prove that n n n(n −1) ΣΣ(i-j)² 6 i=1 j=1 Hint: Use mathematical induction. =