Consider a sequence \( \left\{a_{n}\right\} \) with \( a_{1}=2 \) and \( a_{n}=\frac{a_{n-1}^{2}... VIDEO
Consider a sequence \( \left\{a_{n}\right\} \) with \( a_{1}=2 \) and \( a_{n}=\frac{a_{n-1}^{2}}{a_{n-2}} \) for all \( n \geq 3 \), terms of the sequence being distinct. Given that \( a_{2} \) and \( a_{5} \) are positive integers and \( a_{5} \leq 162 \) then the possible value(s) of \( a_{5} \) can be
(a) 162
(b) 64
(c) 32
(d) 2
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