Question

if n any natural number, then by which number 6n - 5n is always divisible

Answer 1

The number $6^n-5^n$ is always divisible by 1.

Step-by-step explanation:

We have,

$6^n-5^n$

To find, the number $6^n-5^n$ is always divisible = ?

n any natural number

n = 1, 2, 3, 4, ......

Put n = 1, we get

$6^1-5^1$ = 6 - 5 = 1

Put n = 1, we get

$6^2-5^2$ = 36 - 25 = 11

Put n = 3, we get

$6^3 - 5^3$ = 216 - 125 = 91

.....

1, 11, 91 is always divisible by 1.

Hence, the number $6^n-5^n$ is always divisible by 1.