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Algebra 2A Chapter 9 Vocabulary
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Terms in this set (18)
sequence
an ordered list of numbers
term of a sequence
each number in a sequence
explicit formula
describes the nth term of a sequence using the number n
recursive formula
relates each term after the first term to the one before it
arithmetic sequence
a sequence where the difference between consecutive terms is constant
common difference
the constant difference between consecutive terms
arithmetic mean
average of two numbers
geometric sequence
a sequence with a constant ratio between consecutive terms
common ratio
the ratio of consecutive terms of a geometric sequence
geometric mean
the positive square root of the product of the two numbers
series
the indicated sum of the terms of a sequence
finite series
has a first term and a last term
infinite series
continues without an end
arithmetic series
a series whose terms form an arithmetic sequence
limits
the least and greatest values of n in the series
geometric series
the sum of the terms of a geometric sequence
converge
if the sum of an infinite series gets closer and closer to a real number as n increases
diverge
if an infinite series does not converge
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