:the sum of 14 consecutive integers is 217,what is the sixth number ini the series选择 13 14 15 16 17

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:the sum of 14 consecutive integers is 217,what is the sixth number ini the series选择 13 14 15 16 17

:the sum of 14 consecutive integers is 217,what is the sixth number ini the series选择 13 14 15 16 17
:the sum of 14 consecutive integers is 217,what is the sixth number ini the series
选择 13 14 15 16 17

:the sum of 14 consecutive integers is 217,what is the sixth number ini the series选择 13 14 15 16 17
选14
理由：217/14取整为15,因为这些事实连续的,所以15为这一串数字的中数,即第7 或8 个数,如果第7个数是15,则第1 个数是9,第14个数是22,相加：（9+22）*14/2=217,正好,则14即为答案.

14

十四个连续的整数的和为217，那么第六个数为？答案是14.
设第六个数为x，则第五个数为x-1，第四个数为x-2……第一个数为x-5；而第七个数为x+1……第十四个数为x+8。所以，则有方程式：
（x-5）+（x-4）+（x-3）+（x-2）+（x-1）+x+（x+1）+（x+2）+（x+3）+（x+4）+（x+5）+（x+6）+（x+7）+（x+8）=217，即14x+21=21...

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十四个连续的整数的和为217，那么第六个数为？答案是14.
设第六个数为x，则第五个数为x-1，第四个数为x-2……第一个数为x-5；而第七个数为x+1……第十四个数为x+8。所以，则有方程式：
（x-5）+（x-4）+（x-3）+（x-2）+（x-1）+x+（x+1）+（x+2）+（x+3）+（x+4）+（x+5）+（x+6）+（x+7）+（x+8）=217，即14x+21=217，所以解得x=14.

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