Prove using Mathematical Induction that: The sum of the squares of the first n positive integers is equal to n(n+1)(2n+1)/6: 12+22+3²+...+n² = n(n+1)(2n+1) 6

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 32E: In Exercise use mathematical induction to prove that the given statement is true for all positive...
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Prove using
Mathematical Induction that:
The sum of the squares of the first n positive integers is equal to n(n+1)(2n+1)/6:
1²+2²+3²+...+n² =
n(n+1)(2n+1)
6
Transcribed Image Text:Prove using Mathematical Induction that: The sum of the squares of the first n positive integers is equal to n(n+1)(2n+1)/6: 1²+2²+3²+...+n² = n(n+1)(2n+1) 6
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