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What is the first term of a geometric series if the sum of the first 8 terms is 14,760, and the common ratio is 3?

A. 10
B. 20
C. 30
D. 40

1 Answer

5 votes

Final answer:

The first term of the geometric series is 10.

Step-by-step explanation:

To find the first term of a geometric series, we can use the formula: a = S / (r^(n-1)), where a is the first term, S is the sum of the first n terms, and r is the common ratio. In this case, the sum of the first 8 terms is 14,760, and the common ratio is 3. Plugging these values into the formula, we get: a = 14,760 / (3^(8-1)) = 10

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