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If the product of 7 consecutive integers is equal to the med

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If the product of 7 consecutive integers is equal to the med [#permalink] New post 18 Dec 2017, 12:37
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If the product of 7 consecutive integers is equal to the median of the integers, what is the least of the 7 integers?

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[Reveal] Spoiler: OA
\(-3\)

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Re: If the product of 7 consecutive integers is equal to the med [#permalink] New post 20 Dec 2017, 06:45
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Carcass wrote:
If the product of 7 consecutive integers is equal to the median of the integers, what is the least of the 7 integers?

enter your value

[Reveal] Spoiler: OA
\(-3\)


Let x be the least integer then we have

x(x+1)(x+2)(x+3)(x+4)(x+5)(x+6) = x+3

or (x+3){x(x+1)(x+2)(x+4)(x+5)(x+6) - 1} =0

i,e. either x+3 = 0
x = -3

or x(x+1)(x+2)(x+4)(x+5)(x+6) - 1 =0, but this won't provide x = integer

Hence x = -3
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Re: If the product of 7 consecutive integers is equal to the med   [#permalink] 20 Dec 2017, 06:45
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