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suhel malik Grade:
        

Q.1 Show that n square  minus 1 is divisible by 8 , if n is a odd positive integer?


Q.2 Show that one and only one of n+1 . n+2 or n+4 is divisible by 3 when n is any positive integer.?

6 years ago

Answers : (1)

Chetan Mandayam Nayakar
312 Points
										

let n=2m+1, n2-1 =4m(m+1),either m or m+1 is surely even and is multiplied by 4. therefore n2-1 is divisible by 8 if nis odd


let n=3,it is easy to see that the second question is wrong.

6 years ago
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