Question

For a natural number n ,6^n -5^n ends with which digit

Answer 1

Answer: for a natural number n,6^n-5^n always ends with 1

Step-by-step explanation:

Answer 2

Answer:

$6^{n} -5^{n}$ always ends in 1.

Step-by-step explanation:

Note that $6^n$ always ends in 6 for all n = natural number

$6^1=6\\6^2=36\\6^3=216$

Also, $5^n$ always ends in 5 for all n = natural number

$5^1=5\\5^2=25\\5^3=125\\5^4=625$

Thus, it is easy to tell that $6^{n} -5^{n}$ always ends in 6 - 5 = 1