MATH TERMS

Fibonacci Sequence

A sequence named after Leonardo of Pisa (Fibonacci), meaning the son of Bonacci.

Harmonic Sequence

A sequence whose reciprocals form an arithmetic sequence.

Harmonic Mean

The reciprocal of the arithmetic mean of the denominators in a harmonic sequence.

Harmonic Series

The sum of the terms of a harmonic sequence.

Geometric Sequence

A sequence where a number R, called the common ratio, exists such that multiplying the previous term by R results in the next term.

Geometric Series

The sum of the terms of a geometric sequence.

Infinite Geometric Series

The sum of the terms of an infinite geometric sequence.

Geometric Mean

The square root of the product of any two positive numbers a and b.

Arithmetic Sequence

A sequence in which a constant d is added to the previous term to get the next term.

Common Difference (d)

The constant number being added to each term in an arithmetic sequence.

Arithmetic Series

The sum of the terms of an arithmetic sequence.

Arithmetic Mean

The term(s) between any two terms of an arithmetic sequence.

Sequence

A function whose domain is the set of positive integers; an ordered list of numbers.

Infinite Sequence

A sequence whose domain is the set of positive integers.

Finite Sequence

A sequence whose domain is the set of positive integers for some positive integer n.

Series

The sum of the terms of a sequence.

Infinite Series

The sum of the terms of an infinite sequence.

Finite Series

The sum of the terms of a finite sequence.

Sigma Notation (∑)

A concise way to express a partial sum.