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Sequences and Series Vocabulary

Across
Consecutive terms of a geometric sequence have a common _____ (the number r)
When the domain of the function consists of the first n positive integers only, the sequence is a ______ sequence.
The _________ sequence is defined recursively, as follows. a0 = 1, a1 = 1, ak = ak-2 + ak-1, where k >/= 2.
a collection that is ordered so it has a first member, a second member, a third member, and so on.
To define a sequence ___________, you need to be given one or more of the first few terms. All other terms of the sequence are then defined using previous terms.
another name for summation notation
The function values a1, a2, a3, a4, . . . . , an, . . . are the _____ of the sequence.
A sequence is ________ when the ratios of consecutive terms are the same.
The sum of the first n terms of a sequence represented by nEi=1 ai = a1 + a2 + a3 + a4 + . . . + an, where i is called the _____ of summation.
The number d is the ______ difference of the arithmetic sequence
Down
The sum of the first n terms of a sequence represented by nEi=1 ai = a1 + a2 + a3 + a4 + . . . + an, where n is the _____ limit of summation.
The sum of a _______ arithmetic sequence with n terms is Sn = (n/2)(a1 + a2)
An ________ sequence is a function whose domain is the set of positive integers.
the sum of the terms of a finite or infinite sequence
A sequence whose consecutive terms have a common difference
If n is a positive integer, then n _________ is defined as n! = 1 * 2 * 3 * 4 . . . (n - 1) * n.
A convenient notation for the sum of the terms of a finite sequence is called _________ notation.
Mathematically, you can think of a sequence as a ________ whose domain is the set of positive integers.