In mathematics, a geometric progression, is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed number(The fixed number is non-zero number), it is also known as a geometric sequence.

The sequence 1, 2, 4, 8, 16, ... is a geometric progression, the common ratio is 2. the common ration may be negative, the sequence will switchs from positive to negative and back, like the sequence 1, -2, 4, -8, ..., the common ration is -2.

a_{n} = [a_{1} r ^{(n-1)}]

s_{n} = (a_{1}(1−r^{n}))(1−r)

Where, a_{1} - first term, n - number of term, r - common difference.

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