Posted by **jack** on Monday, April 12, 2010 at 10:07pm.

Given the following finite sum

1/(1*2)+1/(2*3)+1/(3*4)+1/(4*5)+....+1/(n(n+1))

a) Find the first 5 partial sums

b) Make a conjecture for a formula for the sum of the first n terms

c) Use mathematical induction to prove your formula