formula for sum of geometric series
S=a(1-r^n/1-r)
The formula for the sum of a finite geometric series is given by:
Sum of Geometric Series = [First term * (1 – (Common ratio)^(Number of terms))] / (1 – Common ratio)
Where,
– First term: the value of the first term of the series
– Common ratio: the ratio by which each term of the series changes
– Number of terms: the total number of terms in the series
It is important to note that this formula only works for finite geometric series, meaning those that have a finite number of terms. If the series is infinite, the formula for sum of an infinite geometric series is:
Sum of an infinite Geometric Series = First term / (1 – Common ratio)
Provided, the absolute value of the common ratio is less than 1. If the absolute value of the common ratio is greater than or equal to 1, then the series diverges (i.e., the sum goes to infinity).
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