If n is a rational number, then 52n − 22n is divisible by
please solved it fast..
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If n is a rational number, then 52n − 22n is divisible by
please solved it fast..
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Given:
n is a rational number
To Find:
52n − 22n is divisible by
Step-by-step explanation:
Given,
n is a rational number.
52n-22n
To find,
The number which can divide (52n-22n).
Solution,
(52n-22n) will be divisible by the factors of 30 and n.
We can easily solve this problem by following the given steps.
According to the question,
52n-22n
Now, this can be solved further because both the terms have the same variable which is 'n'.
Subtracting 22n from 52n,
52n-22n = 30n
Now, 30n is divisible by 30 or any number which can divide 30 like 2,3,5,6,10, etc. and by n.
Hence, (52n-22n) is divisible by the factors of 30 and n.