# 7.5: Problem Solving with Series Sums

Difficulty Level:

**At Grade**Created by: CK-12Turn In

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Term | Definition |
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arithmetic series |
An arithmetic series is the sum of an arithmetic sequence, a sequence with a common difference between each two consecutive terms. |

common difference |
Every arithmetic sequence has a common or constant difference between consecutive terms. For example: In the sequence 5, 8, 11, 14..., the common difference is "3". |

infinite series |
An infinite series is the sum of the terms in a sequence that has an infinite number of terms. |

Mathematical induction |
Mathematical induction is a method of mathematical proof typically used to establish that a given statement is true for all positive integers. |

partial sum |
A partial sum is the sum of the first ''n'' terms in an infinite series, where ''n'' is some positive integer. |

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Description

More on calculating the partial sums of arithmetic series.

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None

Difficulty Level:

At Grade
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Date Created:

Nov 01, 2012
Last Modified:

Mar 23, 2016
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