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Geometric sequence played an important role in the development of calculus. It is used throughout the mathematics.

Geometric sequence forms the geometric progression, in which each term is found by multiplying the previous term with the constant value.

In general, geometric series can be written as a, ar, ar2, ar3...

a is the first term

r is the factor between the terms.

For example,

1/2 + 1/4 +1/8 + 1/16

a = 1/2, r = 1/2

Here, each successive term is obtained by multiplying the previous term by 1/2.

Geometric series are one of the simplest examples of infinite series with finite sums.

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Daily Maths Topic Today - geometric sequence.