Find the explicit rule for the given sequence.2, 3, 4.5, 6.75, 10.125, . . .

Each term is found by multiplying the previous term by 1.5: 3 ÷ 2 = 1.5 and 4.5 ÷ 3 = 1.5. This is a geometric sequence with first term 2 and common ratio 1.5, so its explicit rule is aₙ = 2(1.5)ⁿ⁻¹. Choice B gives this rule.

AI-written and checked against the verified answer.