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# 7.3: Sum Notation and Properties of Sigma

Difficulty Level: At Grade Created by: CK-12
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### Vocabulary Language: English

$\Sigma$

$\Sigma$ (sigma) is the Greek letter meaning "the sum of" when used in mathematics.

arithmetic series

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

geometric series

A geometric series is a geometric sequence written as an uncalculated sum of terms.

index

The index of a sum is the variable in the sum.

limits

The limits of a sum are written above and below the $\Sigma$, and describe the domain to be used in the series calculation.

sequence

A sequence is an ordered list of numbers or objects.

series

A series is the sum of the terms of a sequence.

Sigma

$\Sigma$, pronounced syg-mah, is the Greek letter that in math means "the sum of".

sigma notation

Sigma notation is also known as summation notation and is a way to represent a sum of numbers. It is especially useful when the numbers have a specific pattern or would take too long to write out without abbreviation.

summand

A summand is an expression being summed. It directly follows the sigma symbol.

summation

Sigma notation is also known as summation notation and is a way to represent a sum of numbers. It is especially useful when the numbers have a specific pattern or would take too long to write out without abbreviation.

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