# Mathematical induction

1. Oct 21, 2007

### solidus_E

1. The problem statement, all variables and given/known data

trying to prove left-hand side = right-hand side

this is where i'm stuck:

$$1 - [1 / (x+1)!] + [(x+1) / (x+2)!] = 1 - [1 / (x+2)!]$$

2. Relevant equations

3. The attempt at a solution

i tried this but can't get anywhere

get a common demoninator:
1 - [(x+2)! + (x+1)*(x+1)! / (x+1)!*(x+2)!]

anyone seeing what i'm not seeing?

2. Oct 21, 2007

### neutrino

That should be a minus.

Pull out the (x+1)! from the numerator of the second term and simplify.

3. Oct 22, 2007

### brh2113

A useful trick is to write (x+2)! as (x+2)(x+1)!