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# Sequences and Series

# 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.### Convergence

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.### Divergence

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

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.### Sequence

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

The addition of the terms of a sequence. #coughsimpleconceptcough### People who Shmooped this also Shmooped...

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