The common ratio of a geometric series is 3 and the sum of the first 8 terms is 3280.

What is the first term of the series?

The first term of the geometric series is 1

Step-by-step explanation:

In this question, we are tasked with calculating the first term of a geometric series, given the common ratio, and the sum of the first 8 terms.

Mathematically, the sum of terms in a geometric series can be calculated as;

S = a (r^n-1) / (r-1)

where a is the first term that we are looking for

r is the common ratio which is 3 according to the question

n is the number of terms which is 8

S is the sum of the number of terms which is 3280 according to the question

Plugging these values, we have

3280 = a (3^8 - 1) / (3-1)

3280 = a (6561-1) / 2

3280 = a (6560) / 2

3280 = 3280a

a = 3280/3280

a = 1