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## Homework Statement

Show that (n+1)^4 < 4n^4 whenever n >= 3

## Homework Equations

## The Attempt at a Solution

I need to prove this by induction, so i assume it is true and then prove that when n=n+1 it is also true.

so it would become (n+2)^4 < 4(n+1)^4

Im not sure how to continue this though.