prove the following relations using induction: summation of i=1 to n, i= n(n+1)/2

Elements Of Modern Algebra
8th Edition
ISBN:9781285463230
Author:Gilbert, Linda, Jimmie
Publisher:Gilbert, Linda, Jimmie
Chapter2: The Integers
Section2.2: Mathematical Induction
Problem 51E: Given the recursively defined sequence a1=1,a2=4, and an=2an1an2+2, use complete induction to prove...
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prove the following relations using induction:

summation of i=1 to n, i= n(n+1)/2

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