Math Help - Proof by Induction - Inequalitiies

1. Proof by Induction - Inequalitiies

Prove by induction:
(Please see attachment).

Have I worked this out correctly? Thank you.

2. Re: Proof by Induction - Inequalitiies

Originally Posted by GrigOrig99
Prove by induction:
Do do you know BERNOULLI's INEQUALITY?
If $x>-1$ then for each $n\in\mathbb{Z}^+$ this is true that $(1+x)^n\ge 1+nx$.
The standard proof of that is by induction.
Do you see a connection?