Proof by induction - Prove (by induction or any other way) that for any natural n the following is true:
1/(1x2) + 1/(2x3) + ..... + 1/[n(n+1)] =
1 - 1/(n+1)
Prove using induction - Prove using induction---Can someone show me how to do this?
1+α+α2+.......+αn-1=αn-1/a-1