2 years ago

2 Points

Mathematics

1 answer:

Pepsi [2]2 years ago

3 0

Answer:I think B...

Step-by-step explanation:

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How many terms are there in a geometric series if the first terms is 2, the common ratio is 4, and the sum of the series is 2,73

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The sum of n terms of a geometric series is given by
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Substituting the given numbers, you have
$2730=2\dfrac{4^{n}-1}{4-1}\\\\2730\dfrac{3}{2}=4^{n}-1\\\\4096=4^{n}\\\\\dfrac{\log(4096)}{\log(4)}=n=6$

There are 6 terms in the series.

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