alg 1 vocab test 2

A sequence is a _______ involving an ordered arrangement of numbers, geometric figures, letters, or other objects.

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A ____ of a sequence is an individual number, figure, or letter in the sequence. 

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If a sequence continues on forever, it is called an ________ sequence. 

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If a sequence __________, it is called a finite sequence.

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An arithmetic sequence is a sequence of numbers in which the __________ between any two consecutive terms is a constant. 

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The difference between any two consecutive terms in an arithmetic sequence is called the common ___________. It is typically represented by the variable d. 

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A geometric sequence is a sequence of numbers in which the _____ between any two consecutive terms is a constant. 

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The ratio between any two consecutive terms in a geometric sequence is called the common ratio. It is typically represented by the variable _.

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A recursive formula expresses each new term if a sequence based on the _________ term in the sequence. The recursive formula for an arithmetic sequence is an=an-1+d. The recursive formula for a geometric sequence is gn=gn-1*r.

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An explicit formula of a sequence is a formula for calculating the value of each term of a sequence using the terms ________ in the sequence. The explicit formula for an arithmetic sequence is an=a1+d(n-1). The explicit formula for a geometric sequence os gn=g1*rn-1.

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