If \( n \in \mathbb{N} \) then \( 10^{n}+3\left(4^{n+2}\right)+5 \) is divisible by....

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If \( n \in \mathbb{N} \) then \( 10^{n}+3\left(4^{n+2}\right)+5 \) is divisible by
\( \mathrm{P} \)
(1) 5
(2) 7
(3) 9
(4) 17


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