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
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