If n ∈ N, then 7 2 n + 2 3 n − 3 . 3 n − 1 is always divisible by Options: A . &nbsp 25 B . &nbsp 35 C . &nbsp 45 D . &nbsp None of these

If n ∈ N, then 72n + 23n−3.3n−1 is always divisible

Question -

If n ∈ N, then $7^{2 n}$ + $2^{3 n - 3}$ . $3^{n - 1}$ is always divisible by

Options:

A . 25

B . 35

C . 45

D . None of these

Answer: Option A
:
A

Putting n = 1 in $7^{2 n} + 2^{3 n - 3} {.3}^{n - 1}$

=50, divisible by 25

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