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Question
If n is any natural number, then 6n − 5n always ends with
Options
1
3
5
7
Solution
We know that `6^n ` will end in 6
And `5^n`will end in 5.
Now, `6^n-5^n` always end with 6 -5=1
Hence the correct choice in (a).
Notes
[Hint: For any n ∈ N, 6n and 5n end with 6 and 5 respectively. Therefore, 6n − 5n always ends with 6 − 5 = 1.]
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