A sequence is a collection of numbers is called as terms, arranged in some particular order. There are several types of sequences; one of the most frequent sequences is the geometric sequence and series.
In mathematics, a geometric sequence is otherwise known as a geometric progression, is a sequence of 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, if the sequence is 1, 4, 16, 64... here the common ratio is 3 in the geometric progression. Similarly 10, 5, 2.5... is also a geometric sequence with common ratio ½ .
The addition of all the terms in geometric sequence is known as a geometric series.
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