Question

if n is a natural no then 6^n-5^n always ends with

Answer 1

6^n: always end with 6

5^n: always end with 5

Answer 2

Answer:

$6 {}^{n} - {5}^{n} =( 5 + 1) ^{n} - {5}^{n} = 5 ^{n} + (n c1) {5}^{n - 1} .....+ 1 - {5}^{n}= \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: (nc1) {5}^{n - 1} .... +1 \: will \: end \:in \: 1$