x+x^2+x^3+x^4+...=14 Infinite Geometric Series with common Ratio and Sum| Solve for X

Question

x+x^2+x^3+x^4+...=14

The common Ratio is X

Sum is 14

Infinite series

Solve for x

Answer 1

Sum of infinite geometric series = a/(1-r) where "a" is first term and |r| < 1.

Here the first term is x and the common ratio (r) is also x.

So, 14 = x/(1-x).

14-14x = x

Take it from there and confirm here:

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