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主题:The last Math contest question -- steve

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家园 The last Math contest question

Thanks for everybody's help and interest yesterday. We have a last Math contest question here.

Starting with the "1" in the center, the spiral of consecutive integers continues, as shown. What is the sum of the number that appears directly above 2007 and the number that appears directly below 2007?

17 16 15 14 13

5 4 3 12

6 1 2 11

7 8 9 10

(A) 4014 (B) 4016 (C) 4018 (D) 4020 (E) 4022

Alrighty, wish everybody a prosperous Golden Pig Year! Thanks again.

家园 Is it (E) - 4022?

Based on my calculation, the number right above 2007 is 1832, and the number right below 2007 is 2190. So the sum of these two is 4022.

These three numbers are on the same column as 50, 51, 52, 53, 54, 55, 56, and 57 are on, and they are below those numbers (50 through 57).

Is this correct?

家园 same result.

the host need help from us to get the answer, it's kind of checking. but almost everyone does dame thing. the grades contest is a piece of cake if you have internet.

家园 楼主啊,欢迎活跃科学版

如能将你的问题也搞一个中文版的就更好了,谢谢。

家园 43^2-17+45^2-19=4022

Find those numbers on the top right and bottom left corners would do it.

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