Alg 3 - Sequences and Series Vocabulary

An ordered list of numbers

• Sequence

• Explicit formula

• Recursive formula

• Argument

Describes the nth term of a sequence using the number n.

• Sequence

• Explicit formula

• Recursive formula

• Argument

uses the preceding term to define the next term of the sequence.

• Sequence

• Explicit formula

• Recursive formula

• Argument

A sequence where the difference between consecutive terms is constant.

• Arithmetic Sequence

• Common Difference

• Arithmetic Mean

• Binomial coefficients

The constant difference between the consecutive terms of an Arithmetic Sequence.

• Arithmetic Sequence

• Common Difference

• Arithmetic Mean

• Binomial coefficients

The average of two numbers, used to find a missing term.

• Arithmetic Sequence

• Common Difference

• Arithmetic Mean

• Binomial coefficients

A sequence of numbers where each term after the first is found by multiplying the previous one by a common ratio.

• Geometric Sequence

• Common Ratio

• Geometric Mean

• Common Law

The value by which a geometric sequence is altered.

• Geometric Sequence

• Common Ratio

• Geometric Mean

• Common Law

The average of a set of products.

• Geometric Sequence

• Common Ratio

• Geometric Mean

• Common Law

The indicated sum of the terms of a sequence.

• Series

• Finite Series

• Infinite Series

• Arithmetic Series