Sequences and Series
Algebra II Terms
Get down with the lingo
Arithmetic SeriesThe addition of the terms of an arithmetic sequence—that's it.
Common DifferenceIn an arithmetic sequences or series, it's the difference between any two terms.
Common RatioIn a geometric sequence or series, it's the number used to multiply and obtain the next number in the sequence.
ConvergenceThe 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.
DivergenceWhen the sum of an infinite series gets infinitely, tremendously, and insanely huge as the number of terms increases.
FactorialThe 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 SequenceAn amazingly cool sequence that is found by adding the two previous terms together to obtain the next term.
Geometric SequenceA list of numbers whose next terms are all multiples of the previous term.
Geometric SeriesThe addition of the terms of a geometric sequence.
Partial SumThe sum of the first n terms of a series, any kind of series, seriously.
Recursive RuleA rule (still thinking math rule here) for a sequence of numbers in which the next term is based on one or more previous terms.
SequenceA list of numbers defined by a rule—typically ones that are math-related as opposed to, "No iPad at the dinner table."
SeriesThe addition of the terms of a sequence. #coughsimpleconceptcough
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