Question

If n is any natural number, then 6ⁿ − 5ⁿ always ends with

(a) 1
(b) 3
(c) 5
(d) 7

[Hint: For any n ∈ N, 6ⁿ and 5ⁿ end with 6 and 5 respectively. Therefore, 6ⁿ − 5ⁿ always ends with 6 − 5 = 1.]

Answer 1

We know that will end in 6

And will end in 5.

Now, always end with

Hence the correct choice in (a).