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  • Which of the following is divisible by ?Option: 1 <img alt="5^{2 n}+1"

Which of the following is divisible by 13?

Option: 1

5^{2 n}+1 if  n is even.


Option: 2

5^{2 n}-1 if n is odd


Option: 3

5^{2 n}-3 if n is even


Option: 4

5^{2 n}+1 if n is odd


Answers (1)

best_answer


5^{2 n}-1=25^n-1=(26-1)^n-1
If n is even, the last term will cancel and the remaining terms will be divisible by 26 .
5^{2 n}+1=25^n+1=(26-1)^n+1
If n is odd, the last term will cancel and the remaining terms will be divisible by 26 .

Posted by

Pankaj Sanodiya

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