Sums of Natural Numbers

Introduction

You can use sigma notation to write series clearly and concisely. For example:

Sums of natural numbers

  • The numbers below and above the sigma tell you which value of r to begin at and which value to end at. You go up in increments of 1 each time

Sums of natural numbers

Examples

Sums of natural numbers

Sums of natural numbers

You can rearrange expressions involving sigma notation. This allows you to evaluate the sums of more complicated series

Sums of natural numbers

Sums of natural numbers

Sums of natural numbers

Extra

Also see our notes on: