Question

Q4. If n is any natural number.
then 6 ki power n-5 ki power
n,always ends with
1
3
7
5​

Answer 1

Answer:

6 n −5 n

For n=1

6x1 −5x1 =6−5=01

⇒ Unit digit is 1, i.e., ends with 1.

For n=2

6x2 −5x2 =36−25=1

⇒ Unit digit is 1, i.e., ends with 1.

For n=3

6x3 −5x3 =216−125=91

⇒ Unit digit is 1, i.e., ends with 1.

By continuity, we can say that (6 n −5 n ) always ends with 1