A sequence of numbers a₁, a₂, a₃, . . . is defined as follows: a₁ = 3, a₂ = 5, and every term in the sequence after a₂ is the product of all terms in the sequence preceding it, e.g., a₃ = (a₁)(a₂) and a₄ = (a₁)(a₂)(a₃). If a_n = t and n ˃ 2, what is the value of a_{n + 2} in terms of t ?