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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. =

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. =

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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4. With the fact of 1² + 2² + ... + n² = n(n + 1)(2n +1)/6, prove that n n ΣΣ(i - j) ²: n² (²1) 6 - i=1 j=1 Hint: Use mathematical induction.
Transcribed Image Text:4. With the fact of 1² + 2² + ... + n² = n(n + 1)(2n +1)/6, prove that n n ΣΣ(i - j) ²: n² (²1) 6 - i=1 j=1 Hint: Use mathematical induction.
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