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3 years ago

What is the sum of a common geometric series if the first term is 8 and the common ratio is 1/2?

Mathematics

1 answer:

stealth61 [152]3 years ago

6 0

Answer: A

Step-by-step explanation:

The sum to infinity of a geometric series is

S (∞ ) = \frac{a}{1-r} ( - 1 < r < 1 )

where a is the first term 8 and r is the common ratio, hence

S(∞ ) = {8}{1-\{1}{2} } = {8}{1}{2} } = 16

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