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

Algebra ->  Proofs -> 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      Log On


   

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) About Me  (Show Source):
You can put this solution on YOUR website!
.

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