[" Show that in is divisite by "8.3],[" n is an odd positive integer."]

Show that n^2-1 is divisible by 8, if n is an odd positive integer.

Show that n^(2)-1 is divisible by 8, if n is an odd positive integer.

Show that 9^(n+1)-8n-9 is divisible by 64, where n is a positive integer.

Show that 9^(n+1)-8n-9 is divisible by 64, where n is a positive integer.

Show that 9^(n+1)-8n-9 is divisible by 64, where n is a positive integer.

Show that 9^(n+1)-8n-9 is divisible by 64, where n is a positive integer.

Using binomial theorem show that 3^(4n+1)+16n-3 is divisible by 256 if n is a positive integer.

Using binomial theorem show that 3^(4n+1)+16n-3 is divisible by 256 if n is a positive integer.

Show that a^(n) - b^(n) is divisible by a – b if n is any positive integer odd or even.

By giving a counter example, show that the following statement is false. "If n is an odd positive integer, then n is prime."