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How to solve this in 1,5 minute?

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How to solve this in 1,5 minute? [#permalink] New post 03 Apr 2010, 09:57
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Hi guys!

Could you please explain how to solve this problem?

What is the sum of integers presented in attached file?


(I do not know how to post a table here)

thanks.
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Re: How to solve this in 1,5 minute? [#permalink] New post 03 Apr 2010, 10:21
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1. Each row is n* (1+2+3...+7) where n e {1,-2,3,-4..,7}
2. Let's add all rows: Sum = (1-2+3-4+5-6+7)*(1+2+3+4+5+6+7) = 4*(3*8+4) = 4*28 = 112

EDITED: typo
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Re: How to solve this in 1,5 minute? [#permalink] New post 04 Apr 2010, 05:18
walker wrote:
1. Each row is n* (1+2+3...+7) where n e {1,-2,3,-4..,7}
2. Let's add all rows: Sum = (1-2+3-4+5-6+7)*(1+2+3+4+5+6+7) = 4*(3*8+4) = 4*28 = 108


4*28 = 112 typo?

I think this is a less than 30 sec question
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Re: How to solve this in 1,5 minute? [#permalink] New post 04 Apr 2010, 05:22
Just a small correction walker, 4*28 = 112 ;)
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Re: How to solve this in 1,5 minute? [#permalink] New post 04 Apr 2010, 06:13
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Yeah, of course it's typo. Thanks
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Re: How to solve this in 1,5 minute? [#permalink] New post 06 Apr 2010, 10:13
walker wrote:
1. Each row is n* (1+2+3...+7) where n e {1,-2,3,-4..,7}
2. Let's add all rows: Sum = (1-2+3-4+5-6+7)*(1+2+3+4+5+6+7) = 4*(3*8+4) = 4*28 = 112

EDITED: typo



Great, thank you ! ) :roll:
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Re: How to solve this in 1,5 minute? [#permalink] New post 06 Apr 2010, 11:09
28(1-2+3-4+5-6)=112
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Re: How to solve this in 1,5 minute?   [#permalink] 06 Apr 2010, 11:09
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