For every natural number n, $3^{2 n + 2} - 8 n - 9$ is divisible by

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128

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256

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None of these

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Solution

The correct option is A 16
$3^{2 n + 2} - 8 n - 19, \forall n ε N$
$Putting n=2$
$3^{2 \times 2 + 2} - 8 \times 2 - 9 = 729 - 16 - 9 = 704$
It is divisible by 16.

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