Question

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

Answer 1

4

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