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# Unit: Series

#### 0

Possible mastery points

## Infinite sequences

Practice
Sequences reviewGet 3 of 4 questions to level up!
Sequence convergence/divergenceGet 3 of 4 questions to level up!

## Finite geometric series

#### Quiz 1

Level up on the above skills and collect up to 300 Mastery points

## Partial sums

Practice
Partial sums introGet 3 of 4 questions to level up!
Partial sums & seriesGet 3 of 4 questions to level up!

## Infinite geometric series

#### Quiz 2

Level up on the above skills and collect up to 300 Mastery points

## Basic convergence tests

Practice
nth term testGet 3 of 4 questions to level up!
Integral testGet 3 of 4 questions to level up!
p-seriesGet 3 of 4 questions to level up!

#### Quiz 3

Level up on the above skills and collect up to 300 Mastery points

## Comparison tests

Practice
Direct comparison testGet 3 of 4 questions to level up!
Limit comparison testGet 3 of 4 questions to level up!

## Ratio & alternating series tests

Practice
Ratio testGet 3 of 4 questions to level up!
Alternating series testGet 3 of 4 questions to level up!

## Estimating infinite series

#### Quiz 4

Level up on the above skills and collect up to 500 Mastery points

## Power series intro

Practice
Interval of convergenceGet 3 of 4 questions to level up!
Integrate & differentiate power seriesGet 3 of 4 questions to level up!

#### Quiz 5

Level up on the above skills and collect up to 400 Mastery points

## Power series function representation

#### Quiz 6

Level up on the above skills and collect up to 300 Mastery points
Up next for you:

#### Unit test

Level up on all the skills in this unit and collect up to 2100 Mastery points!

### About this unit

Series are sums of multiple terms. Infinite series are sums of an infinite number of terms. Don't all infinite series grow to infinity? It turns out the answer is no. Some infinite series converge to a finite value. Learn how this is possible and how we can tell whether a series converges and to what value. We will also learn about Taylor and Maclaurin series, which are series that act as functions and converge to common functions like sin(x) or eˣ. (This content belongs in AP Calc BC only, and not in AP Calc AB.)