3 years ago

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

Mathematics

1 answer:

zalisa [80]3 years ago

7 0

9514 1404 393

Answer:

-15/16

Step-by-step 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.

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

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