# Binomial inequality

Talk0*872*pages on

this wiki

The binomial inequality is a statement about raising a sum to a natural power:

and

It is essentially a truncated version of the binomial theorem, that is easily proved by induction.

## Proof Edit

Check it's true for clearly.

Now assume true for some

As we can multiply that inequality through by and preserve the inequality:

As

So, so by induction it is true for all