Question

for geometric sequence below, determine the explicit formula. be sure to enter your answer as a formula of the form a_n= a_1(r)^(n-1) with the correct a_1 and r values.

5/8, 25/8, 125/8, 625/8, . . ., a_n

Answer 1

Hello.

Let's calculate r:

r = a₂ / a₁

r = (25/8) / (5/8)

r = 5.

Since a₁ = 5/8

$\boxed{\mathsf{a_n = \frac{5}{8}\cdot 5 ^{n-1}}}$