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Poster has been reminded that showing their work on schoolwork problems is mandatory at the PF

## Homework Statement

Suppose that ##N \in \mathbb{N}## and that ##(s_n)## is a nonnegative sequence. Prove that ##\displaystyle \frac{s_{N+1} + s_{N+2} + \cdots + s_n}{n} \le \sup \{s_n ~:~ n > N \}##

## Homework Equations

## The Attempt at a Solution

I need help explaining why this is true. Supposedly it is obvious, but I can't quite see it...