Question

The first term of a geometric series is 124. The sum to infinity is 64 . Find the common ratio​

Answer 1

9514 1404 393

Answer:

-15/16

Explanation:

The sum of a geometric series with first term a1 is ...

S = a1/(1 -r)

Then the common ratio (r) is ...

r = 1 -a1/S

For the given values, the ratio is ...

r = 1 - 124/64 = -15/16

The common ratio is -15/16.