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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
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
admin
2022-11-20
45
问题
If each term of the sequence (a
1
, a
2
…, a
n
)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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