7^ 2n + 3^ n-1 ⋅ 2^ 3n-3 is divisible by: - Vidyadip

MCQ

$7^{2n}+ 3^{n-1}⋅ 2^{3n-3}$ is divisible by:

A
$24$
✓
$25$
C
$9$
D
$13$

✓

Answer

Correct option: B.

$25$

Let $P(1) =7^{2n}+ 3^{n-1}⋅ 2^{3n-3}$
$P(1) = 50 \Rightarrow$ Divisible by $25$

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