formula for sum of infinite geometric series
S=a/1-r
The formula for the sum of an infinite geometric series is:
S = a / (1 – r)
where:
S = sum of the infinite geometric series
a = the first term in the series
r = the common ratio between terms
To use this formula, simply plug in the values for a and r and simplify the expression. Note that this formula will only work if the absolute value of r is less than 1. If the absolute value of r is greater than or equal to 1, the series is divergent and does not have a sum.
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