# 7.1: Recursive Formulas

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arithmetic sequence

An arithmetic sequence has a common difference between each two consecutive terms. Arithmetic sequences are also known are arithmetic progressions.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".common ratio

Every geometric sequence has a common ratio, or a constant ratio between consecutive terms. For example in the sequence 2, 6, 18, 54..., the common ratio is 3.Explicit

Explicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence without knowing the value of the previous terms.Explicit formula

Explicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence without knowing the value of the previous terms.Explicit formulas

Explicit formulas define each term in a sequence directly, allowing one to calculate any term in the sequence without knowing the value of the previous terms.geometric sequence

A geometric sequence is a sequence with a constant ratio between successive terms. Geometric sequences are also known as geometric progressions.index

The index of a term in a sequence is the term’s “place” in the sequence.recursive

The recursive formula for a sequence allows you to find the value of the n^{th}term in the sequence if you know the value of the (n-1)

^{th}term in the sequence.

recursive formula

The recursive formula for a sequence allows you to find the value of the n^{th}term in the sequence if you know the value of the (n-1)

^{th}term in the sequence.

sequence

A sequence is an ordered list of numbers or objects.### Image Attributions

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Description

Introduction to sequences and recursive formulas.

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Date Created:

Nov 01, 2012
Last Modified:

Aug 11, 2016
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