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Infinite geometric series is an infinite numbered series which has a common ratio ‘r’ between any two consecutive numbers in the series. If the ratio r lies between -1< r <1 then the series converges or else it is a diverging series. The online tool used solve the given infinite geometric series is called as infinite geometric series calculator.

Given is an infinite series, the first step is to check for the common ratio r.

r = (1/2)/1 = 1/2 r = (1/4)/ (1/2) = 1/2

Hence the common ratio for the geometric series is equal to1/ 2.

The first term a = 1.

Hence

This gives sum = 1/ (1-1/2) = 1/ (1/2) = 2

Given is an infinite series, the first step is to check for the common ratio r.

r = (1/3) = 1/3 r = (1/9)/ (1/3) = 1/3

Hence the common ratio for the geometric series is equal to 1/3.

The first term a = 3.

Hence

This gives sum = 3/ (1-1/3) = 3/ (2/3) = 9/2