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$${t}^{8}$$