Geometric Series
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8 Terms
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Geometric Series
Examples of infinite series with finite sums, although not all of them have this property. The sum of the terms in a geometric sequence.
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What is the formula for a geometric series with a definite amount of terms?
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What is the formula for a geometric series with an infinite amount of terms?
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1, -1 < r < 1, n
If the common ratio r of an infinite geometric sequence is a fraction where |r| < ___ (that is ______), then the factor (1 -r^n) found in the formula for the nth partial sum tends toward 1 as ___ increases.
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What is the notation of a limit?
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convergent geometric series
an infinite geometric series where |r|<1.
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What is the formula for a convergent geometric series?