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Sequences and Series

Sequences and Series

 Table of Contents

Algebra II Terms

Get down with the lingo

Arithmetic Sequence

Arithmetic Series

The addition of the terms of an arithmetic sequence—that's it.

Common Difference

In an arithmetic sequences or series, it's the difference between any two terms.

Common Ratio

In a geometric sequence or series, it's the number used to multiply and obtain the next number in the sequence.


The idea that the sum of an infinite series approaches a certain number as the number of terms gets bigger and biggER and biGGER and BIGGER.


When the sum of an infinite series gets infinitely, tremendously, and insanely huge as the number of terms increases.


The product of a number and all the numbers before it, starting with 1, so 5! would be 5 times all the numbers before it down to one: 5 × 4 × 3 × 2 × 1

Fibonacci Sequence

An amazingly cool sequence that is found by adding the two previous terms together to obtain the next term.

Geometric Sequence

A list of numbers whose next terms are all multiples of the previous term.

Geometric Series

The addition of the terms of a geometric sequence.

Partial Sum

The sum of the first n terms of a series, any kind of series, seriously.

Recursive Rule

A rule (still thinking math rule here) for a sequence of numbers in which the next term is based on one or more previous terms.


A list of numbers defined by a rule—typically ones that are math-related as opposed to, "No iPad at the dinner table."


The addition of the terms of a sequence. #coughsimpleconceptcough

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