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

common ratio. For example, the sequence 2, 6, 18, 54, … is a geometric progression with common ratio 3. Similarly 10, 5, 2.5, 1.25, … is a geometric sequence with common ratio 1/2.Examples of a geometric sequence are powers

r/^{/k} of a fixed non-zero numberr, such as 2^{k}(a) and 3^{k}. The general form of a geometric sequence is\(a,ar,ar^{2},ar^{3},ar^{4},\ldots\)

where

r≠ 0 is the common ratio anda≠ 0 is a scale factor, equal to the sequence’s start value.The distinction between a progression and a series is that a progression is a sequence, whereas a series is a sum.

## Bibliography

*Wikipedia*, September. https://en.wikipedia.org/w/index.php?title=Geometric_progression&oldid=1112468108.