If $n$ is a positive integer, then $5^{2n + 2} - 24n - 25$ isdivisible by

Question

Dr. Abubacker · Accepted Answer

(d)
Let $P(n) = 5^{2n + 2} - 24n - 25$
For $\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ n = 1$
$\ \ P(1) = 5^{4} - 24 - 25 = 576$
$\ \ \ P(2) = 5^{6} - 24(2) - 25 = 15552$
$\ \ \  = 576 	imes 27$
Here, we see that $P(n)$ is divisible by 576

Q. If $n$ is a positive integer, then $5^{2n + 2} - 24n - 25$ isdivisible by

Explanation

Reviewed by Dr. Abubacker

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