A sequence of numbers {a}_{1}, {a}_{2}, {a}_{3}, ... is defined as follows:{a}_{1} = 3, {a}_{2} = 5, and every term in the sequence after {a}_{2} is the product of all terms in the sequence preceding it, e.g., {a}_{3} = ({a}_{1})({a}_{2}) and {a}_{4} =({a}_{1})({a}_{2})({a}_{3}). If {a}_{n} = t and n > 2, what is the value of {a}_{n+2} in terms of t?
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A4t
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B{t}^{2}
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C{t}^{3}
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D{t}^{4}
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E{t}^{8}