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

MCQ

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

✓
$16$
B
$128$
C
$256$
D
None of these

✓

Answer

Correct option: A.

$16$

a
(a) ${3^{2n + 2}} - 8n - 9,\,\forall n \in N$

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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