# Mathematica Mathematical induction

#### solidus_E

1. Homework Statement

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. Homework 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?

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#### neutrino

get a common demoninator:
1 - [(x+2)! + (x+1)*(x+1)! / (x+1)!*(x+2)!]
That should be a minus.

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

#### brh2113

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