Question
84n−74n is divisible by which of the following?
Answer: Option D
:
D
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:
D
(82)2n−(72)2n is of the form an−bn where the power is always even because 2n is always even.
That means it is divisible by 82+72 as well as 82−72.
Check for n=1, it becomes 84−74, which is divisible by 82+72 and 82−72.
Thus. the given number is divisible by both 15 and 113.
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