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ps - mult. of 6

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VP
Joined: 30 Sep 2004
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ps - mult. of 6 [#permalink]

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08 Dec 2005, 13:20
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The sum of the numbers less than or equal to a positive integer n is S, S=n*(n+1)/2. What's the sum of the numbers that are less than or equal to 714 and are multiples of 6?

A. 3*119*120
B. 3*119*256
C. 3*256*257
D. 6*357*358
E. 6*360*388
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If your mind can conceive it and your heart can believe it, have faith that you can achieve it.

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Director
Joined: 14 Sep 2005
Posts: 984

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Location: South Korea
Re: ps - mult. of 6 [#permalink]

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08 Dec 2005, 14:02
christoph wrote:
The sum of the numbers less than or equal to a positive integer n is S, S=n*(n+1)/2. What's the sum of the numbers that are less than or equal to 714 and are multiples of 6?

A. 3*119*120
B. 3*119*256
C. 3*256*257
D. 6*357*358
E. 6*360*388

S = 6 + 12 + 18 + 24 + ... + 714
= 6(1 + 2 + 3 + 4 + ... + 119)
= 6(119*120)/2
= 3*119*120

I guess (A).
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Re: ps - mult. of 6   [#permalink] 08 Dec 2005, 14:02
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