The sum of the first

6

66 terms of a geometric series is

15

,

624

15,62415, comma, 624 and the common ratio is

5

55.

What is the first term of the series?

The first term of the series is 4

Step-by-step explanation:

The sum of the first  6  terms of a geometric series is  15 , 624  and the common ratio is  5 .

To find the first term, we use the formula for the sum of terms in a geometric series.

Since the common ratio of the series is greater than 1, the sum of term of the geometric series is;

where r = common ratio

a = first term

When S = 15,624, r = 5 and n = 6, the first term, a, will be:

a = 4

The first term of the series is 4.