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

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问题 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 n?

选项 A、45
B、42
C、40
D、39
E、36

答案C

解析 假设在数列中,77一共出现m次,那么根据题意:77m+7×(n-m)=350,化简后得到:n+10m=50,五个选项中哪个能够为n呢?n=50-10m,必然为10的倍数,所以选择40。
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