Using induction to prove an equality - I want to use induction to prove this equality:
1 + z + z^2+...+z^n = (1 - z^(n+1))/(1 - z) for every n >= 1
How do I go about this? I started out by letting z = (a + bi), but got confused.
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)