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holat
@holat
August 2021
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докажите, что значение выражения (n+2)²-n² при нечетных n делится на 8
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Lesben
N=2k+1
(n+2)ˇ2-nˇ2=nˇ2+4n+4-nˇ2=4n+4
4(2k+1)+4=8k+4+4=8k+8=8(k+1)
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Answers & Comments
(n+2)ˇ2-nˇ2=nˇ2+4n+4-nˇ2=4n+4
4(2k+1)+4=8k+4+4=8k+8=8(k+1)