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Show that the product of any three consecutive positive integers is divisible by 6 |
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Answer» LET, the integers be x, x+1 and x+2 respectively. Adding x+x+1+x+2 =3x+3 =3(x+1) Which SHOWS that the product is a MULTIPLE of 3 Therefore, it will be a multiple of 6 too which shows it is divisible by 6. |
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