TABLE OF CONTENTS

Write the series

in expanded form.

This is a short series, so we can write all the terms. We plug each value of n into the general term a_{n} = n^{2}:

We stick these terms together with plus signs, and we're done.

This series has 99 terms, so it's unreasonable to write down all of them. Find the first 3 terms and the last 2.

We write down these terms, stuck together with alternating plus and minus signs, and put dots in the middle for the terms we didn't compute:

We compute the first 3 terms, then write dots to show the pattern continues: