If 𝑛 is a natural number, then 252n−92𝑛 is always divisible by
Question
If 𝑛 is a natural number, then 252n−92𝑛 is always divisible by
Solution
The expression given is 252n - 92n.
First, we can factor out the common term, n, from each part of the expression. This gives us n(252 - 92).
This simplifies to n(160).
So, the expression 252n - 92n simplifies to 160n.
Therefore, for any natural number n, the expression 252n - 92n (which is equivalent to 160n) is always divisible by 160.
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