Algebra-1

Using the formula for the nth term of a geometric sequence, we can write two equations:

a₅ = a₁ * r^(5-1)
a₃ = a₁ * r^(3-1)

Substituting the given values, we have:

384 = a₁ * r⁴
24 = a₁ * r²

To eliminate a₁, we can divide the two equations:

(384 / 24) = (a₁ * r⁴) / (a1 * r²