show that n^2-1 is divisible by 8, if n is an odd positive integer
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Put n=3 then (3)^2-1=8
n=5 then (5)^2-1=24
n=7 or so on all will be devisible from 8
n=5 then (5)^2-1=24
n=7 or so on all will be devisible from 8
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14. Prove that if n is odd then n2 – 1 isdivisible by 8. Proof: An odd integer n is either a 4k+1 or a 4k+3. (4k+1)2 – 1 = 16k2+ 8k + 1 - 1 =8(2k2 +k), which is a multiple of 8
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