SOLUTION: Induction Sum: Prove using mathematical induction that: 1/1*2*3 + 1/2*3*4 + 1/3*4*5 +...+ 1/n(n+1)(n+2) = n(n+3)/4(n+1)(n+2)

Algebra ->  Expressions -> SOLUTION: Induction Sum: Prove using mathematical induction that: 1/1*2*3 + 1/2*3*4 + 1/3*4*5 +...+ 1/n(n+1)(n+2) = n(n+3)/4(n+1)(n+2)       Log On


   

Question 1183960: Induction Sum:
Prove using mathematical induction that:
1/1*2*3 + 1/2*3*4 + 1/3*4*5 +...+ 1/n(n+1)(n+2) = n(n+3)/4(n+1)(n+2)

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
Step 1. For n = 1, 1%2F%281%2A2%2A3%29+=+%281%2A4%29%2F%284%2A2%2A3%29, and the statement is true.

Step 2. (Inductive Hypothesis) Let statement be true for n = k for some positive integer k, that is,


Step 3. Prove statement for n = k+1: .


=

=

Hence the staement is true for n = k+1. Therefore the staement is true for n+%3E=+1.