Series

13 videos
3 skills
You're familiar with sequences and have been eager to sum them up. Well wait no longer! In this tutorial, we'll see that series are just sums of sequences and familiarize ourselves with the notation.

Sigma notation for sums

VIDEO 4:27 minutes

Series as sum of sequence

VIDEO 2:53 minutes

Writing a series in sigma notation

VIDEO 3:16 minutes

Explicitly defining a series

VIDEO 4:25 minutes

Formula for arithmetic series

VIDEO 7:47 minutes

Arithmetic series

PRACTICE PROBLEMS
Find the sum of the first n terms of an arithmetic sequence.

Finding the sum of n squares part 1

VIDEO 6:16 minutes

Finding the sum of n squares part 2

VIDEO 5:12 minutes

Alternate formula for sum of n squares

VIDEO 4:51 minutes

Leveraging properties of series to find sum

VIDEO 6:54 minutes

Partial sum notation

VIDEO 6:09 minutes
Partial sum notation

Understanding series

PRACTICE PROBLEMS

Infinite series as limit of partial sums

VIDEO 4:48 minutes
Infinite series as limit of partial sums

Partial fraction decomposition to find sum of telescoping series

VIDEO 12:31 minutes

Divergence of telescoping series

VIDEO 4:53 minutes

Convergence and divergence of series

PRACTICE PROBLEMS