If each term of the sequence (a1,a2,.,an) is either 7 or 77,
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If each term of the sequence (a1,a2,.,an) is either 7 or 77,and the sum of the sequence is 350.Which of following could be the value of
A 45 B 42 C 40 D 39 E 36
A 45 B 42 C 40 D 39 E 36
数列a1,a2,……,an中,每一项为7或者77.现在有其中n个的和为350,那么n可能是?
答案:C
因为350÷7=50——这是n最大的可能
又77÷7=11
所以,每增加一个77,就要减少11个7
那么,总数就是50-11+1=40个数【其中是39和7,1个77】
当然还有别的可能,例如50-22+2=30个数
答案:C
因为350÷7=50——这是n最大的可能
又77÷7=11
所以,每增加一个77,就要减少11个7
那么,总数就是50-11+1=40个数【其中是39和7,1个77】
当然还有别的可能,例如50-22+2=30个数
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