5. If n is an odd integer than show that n²-1 is divisible by 8.
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yes it's divisible by 8.
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We know that every odd integer is of the form 4q +1 or 4q +3 for some integer q. 8(q+2q2) which is divisible by 8. =8(2q2+3q+1) , whihc is divisible by 8. Hence, if n is an odd integer then n2-1 is divisble by 8.
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