- #1

- 784

- 11

## Homework Statement

Not actually for homework, but i didn't know where to post this.

Problem: Show that any integer to the fourth power can be expressed as either 5k or 5k+1 where k is an integer.

## Homework Equations

None.

## The Attempt at a Solution

My starting point is to consider that all integers can be expressed as either:

2x or 2x+1

taking these to the fourth power I arrive at:

16k or 16k + 1

now I'm stuck, any tips? am i even on the right trail here?