Question

Find the sum of the infinite geometric series calculator

Answer 1

Unsure of what you want here!

The formula for the sum of an infinite series is

          a
S = ------          where a is the first term and r is the common ratio.  Note     
        1-r           that the magnitude of the common ratio, r, must be <1.

Answer 2

The sum to the infinite geometric series is calculated using:

$\mathbf{S_{\infty} = \frac{a}{1-r}}$

Where a represents the first term, and r represents the common ratio

Assume the first term of the series is 2, and the common ratio is 1/2.

The sum to infinite becomes

$\mathbf{S_{\infty} = \frac{2}{1-1/2}}$

Simplify the denominator

$\mathbf{S_{\infty} = \frac{2}{1/2}}$

Divide the fractions

$\mathbf{S_{\infty} = 4}$

Hence, the sum to infinity is 4

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