A geometric sequence is a sequence in which the ratio of any term to the previous term is constant. The explicit formula for a geometric sequence is of the form a n = a 1r-1, where r is the common ratio. A geometric sequence can be defined recursively by the formulas a 1 = c, an+1 = ran , where c is a constant and r is the common ratio.
The sum of a finite geometric sequence (the value of a geometric series) can be found according to a simple formula. For a geometric sequence an = a 1 rn-1, the sum of the first n terms is
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