Question

Show that 1.1^n >= 1+n/10 for every positive integer n.

Answer 1

So I'm basically trying to prove that \[1.1^n \ge 1 + \frac{n}{10}\] for all positive integers n. My goal is to make some sort of equivalent relationship to show that if the other statement is true, the original must be true as well.

Any ideas as to how to go about doing that? Or am I doing something completely wrong?

Answer 2

@zepdrix ? @pooja195 ?

Answer 3

Actually... could I just use induction?

Answer 4

Have you tried substituting n with positive integers? If not that's a way to prove. Suppose that n= 4 you'd get the left side is indeed bigger than the right one.

Answer 5

I got it. It's okay.

Answer 6

And it has to be a general proof.

Answer 7

Experimental is a way to prove

Answer 8

Good luck