Question

If n is any natural number then 6n and 5n always end with​

Answer 1

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.]

so in short we can say they always end with 1

Answer 2

If n is any natural number then 6n and 5n always end with​ multiple of 6 and 5 respectively.

Explanation:

Given- n is natural number

Natural numbers are the positive integers starts from 0 and ends at infinity.

N = 1,2,3,4,5,6,7.. and so on.

When we multiply one natural number with another natural number the product will also be a natural number.

Example:- 6 × 5 = 30, here 6 and 5 are both natural numbers and when they are multiplied we get 30 which is also a natural number.

So,

If n is multiplied with 6 and 5 then we will get 6n and 5n respectively which will also be a natural number.