# Induction and Inequalities

• September 30th 2009, 08:04 PM
Dfowj
Induction and Inequalities
Hey guys, im not quite getting how to solve by induction for inequalities. An example of the work i have to do is as follows:

Suppose that a and b are real numbers with 0 < b < a.
Prove that if n is a positive integer, then

$
a^n - b^n \leq na^{n-1}(a-b)
$

Thanks a bunch in advance guys!
• October 1st 2009, 06:37 PM
Dfowj
bump...?