Explicit rule formula: a(n) = a · rⁿ⁻¹
a(n) = ⁿth term
a = first term
r = common ratio
ⁿ⁻¹ = the previous term
In the recursive rule a₁ = 2/3; aₙ = 9 · aₙ₋₁ the first term is 2/3 and the common ration is 9. We can fill in the explicit formula with what we know.
Thus, the correct answer is [ aₙ = 2/3 · 9ⁿ⁻¹ ]
Best of Luck!
