# HL AA -Series and Expansions

## Arithmetic Series

## The Sigma Sign

## Binomials Extension

## Geometric Series

## Pascal's Triangle

## Counting Problems

## Sums to Infinity

## Binomial Expansions

## Series Review

## Traffic Light Coding for Unit

Make your own copy and share with your students.

##### Learning Outcomes

Understand the term arithmetic sequence. |

Understand the term geometric sequence. |

Find the nth term of an arithmetic sequence. |

Find the sum of n terms of an arithmetic series. |

Find common differences and problem solve with arithmetic sequence and series. |

Find the nth term of a geometric sequence. |

Find the sum of n terms of a geometric series. |

Find common differences and problem solve with geometric sequence and series. |

Find the infinite sum of a geometric series. |

Use the sigma sign for sums of both arithmetic and geometric series. |

Use series to apply to compound interest problems. |

Understand, use and generate Pascalâ€™s triangle with and without a GDC. |

Expanding a bracket such as (ax+b)n, where n>2. |

Problem solving with binomial expansions, including finding terms and constants (independent) terms. |

Extending binomial expansions for fractional and negative powers. |

Counting permutations and combinations. |