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