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5^(2n+2)-24n+25 is divisible by 576...

`5^(2n+2)-24n+25` is divisible by 576

A

574

B

575

C

674

D

576

Text Solution

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The correct Answer is:
D
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DISHA PUBLICATION-PRINCIPLE OF MATHEMATICAL INDUCTION-Exercise-2 Concept Applicator
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  8. 1 1^(n+2)+1 2^(2n+1) is divisible by 133.

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  14. If n is a positive integer, then 2.4^(2n+1)+3^(3n+1) is divisible by :

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  15. 5^(2n+2)-24n+25 is divisible by 576

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  16. Prove the following by the principle of mathematical induction: \ x...

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  17. If P(n0: 49^n+16^n+lambda is divisible by 64 for n N is true, then th...

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  18. If n is any odd number greater than 1, then n\ (n^2-1) is divisible b...

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  19. 1/n+1/(n+1)+1/(n+2)++1/(2n-1)=1-1/2+1/3-1/4++1/(2n-1)

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