Question

25. For any positive integer n, prove that n²- n is divisible by 6​

Answer 1

Step-by-step explanation:

well to prove it let the number be ,for example,4

then 

4²=16

according to question 

n²-n

so

4²-4=16-4=12

now to check divisibility by 6 the last digit should be a number divisible by 2 and the sum of the numbers should be divisible by 3 

since 12 is divisible by both 2 and 3 so it is also divisible by 6

hence proved

hope it helps