Introduction
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A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio. E.g., the height to which a ball rises in each successive bounce follows a geometric progression. The sequence 4, -2, 1,... is a Geometric Progression (GP) for which (-1/2) is the common ratio. We can use the concept to find an arbitrary term, a finite or infinite sum of the series, and apply them in various contexts, including some difficult problems.
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If the common ratio is:
Geometric Progression Formula
Suppose that we want to find the sum of the first n terms of a geometric progression. What we get is
sum of GP: Sn = a + ar + ar2 + ar3 + . . . + arn-1
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