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Here is a theorem: 1+2+3+...+n= Use it to evaluate: 2 + 4 + 6 + ··· + 2n = Let j be even. Evaluate 2+4+6+...+j= n(n+1) 2

Here is a theorem: 1+2+3+...+n= Use it to evaluate: 2 + 4 + 6 + ··· + 2n = Let j be even. Evaluate 2+4+6+...+j= n(n+1) 2

Elements Of Modern Algebra
Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.4: Prime Factors And Greatest Common Divisor
Problem 24E: Let (a,b)=1. Prove that (a,bn)=1 for all positive integers n.
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Here is a theorem: 1+2+3+...+n= Use it to evaluate: 2 + 4 + 6 + ··· + 2n = Let j be even. Evaluate 2+4+6+...+j= n(n+1) 2
Transcribed Image Text:Here is a theorem: 1+2+3+...+n= Use it to evaluate: 2 + 4 + 6 + ··· + 2n = Let j be even. Evaluate 2+4+6+...+j= n(n+1) 2
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