- #1

cnwilson2010

- 8

- 0

## Homework Statement

n

^{2}<=2

^{n}

n is a natural number

For what values of n is the statement true and prove by induction.

## Homework Equations

## The Attempt at a Solution

I tried 1 and it worked, I tried 2 and it worked, just for fun I tried 3 and it didn't work, so I assumed the opposite and went to town but could never get the (k+1) portion to make any sense, so after hours and hours, I tried n=4 and it worked, then n=5 works, etc. Why doesn't n=3 work and all the others do? And how do you phrase this in proof language?