Question

Let P(n) be the proposition "If a and b are positive real numbers, then (a+b)^n >=a^n + b^n". Prove that P(1) is true.

Answer 1

(a+b)^1=a+b
a^1+b^1=a+b

Answer 2

wait...what kind of proof is this??

Answer 3

Principle of mathametical Induction(PMI)

Answer 4

....what??

Answer 5

PMI....................... http://en.wikipedia.org/wiki/Mathematical_induction

Answer 6

lol just plug in P(1)

Answer 7

yes...but what kind of proof is it?