Geometric Series
A geometric series is a sequence of numbers in which each term except the first is obtained by multiplying the preceding term with a constant value known as common ratio. The common ratio can be less than 1, equal to 1 or greater than 1. A geometric series is also known as a geometric progression(GP). Mathematically, it is represented as follows:
a, ar, ar2, ar3, . . ., arn-1 (n terms..)
Where,
- a is the first term,
- r is the common ratio, and
- n is the number of terms.
How to Find the Sum of Geometric Series
A geometric series is a sequence of numbers where each term after the first term is found by multiplying the previous term by a fixed, non-zero number called the common ratio. In a geometric series, if the absolute value of the common ratio (∣r∣) is less than 1, the series converges to a finite value. Otherwise, it diverges (grows without bound). Let’s know more about sum of Geometric Series formula, derivation and examples in detail below.
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