n²-1 is divisible by 8 ,if n is
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4Q² + 4Q = 4(2)² + 4(2) =16 + 8 = 24, it is also divisible by 8 . It is concluded that 4Q² + 4Q is divisible by 8 for all natural numbers. Hence, n² -1 is divisible by 8 for all odd value of n .
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