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geometric progression

فرایازی ِ هندسی

farâyâsi-e hendesi (#)

Fr.: progression géométrique

A → sequence in which the ratio of a term to its predecessor
is the same for all terms. In general, the nth term has the form
ar^{(n-1)},
where n is a positive integer, and a and r are nonzero
constants; r is called the ratio or common ratio.
The sum of the first n terms is given by:
S_{n} = a(1 - r^{n})/(1 - r).
Also called → geometric sequence.