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

5 find the first term of the series

4

Step-by-step explanation:

The sum of the first n terms of a geometric series is:

S = a₁ (1 - rⁿ) / (1 - r)

Given S = 15624, r = 5, and n = 6:

15624 = a₁ (1 - 5⁶) / (1 - 5)

a₁ = 4