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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.?

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.?

Grade:

1 Answers

Chetan Mandayam Nayakar
312 Points
10 years ago

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.

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