SOLUTION: Use induction to prove that 1*2+2*3+3*4+...+n(n+1)=(n(n+1)(n+2))/3

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Question 618022: Use induction to prove that 1*2+2*3+3*4+...+n(n+1)=(n(n+1)(n+2))/3
Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
n=1 base case is true. Assume it is true for some n = k. Show that it is true for k+1. In other words, show that



Hint: What is 1*2 + ... + k(k+1)?