SOLUTION: Prove by induction n*1 + (n-1)*2 + (n-2)*3 + ... + 3*(n-2) + 2*(n-1) + 1*n = n(n+1)(n+2)/6

SOLUTION: Prove by induction n1 + (n-1)2 + (n-2)3 + ... + 3(n-2) + 2(n-1) + 1n = n(n+1)(n+2)/6

Question 1150892: Prove by induction
n*1 + (n-1)*2 + (n-2)*3 + ... + 3*(n-2) + 2*(n-1) + 1*n = n(n+1)(n+2)/6
Answer by ikleyn(52781) (Show Source): You can put this solution on YOUR website!
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See the links

https://www.physicsforums.com/threads/prove-that-n-1-n-1-2-n-2-3-3-n-2-2-n-1-1-n-n-n-1-n-2-6-by.514678/

http://mathforum.org/library/drmath/view/56920.html

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