: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
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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