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3 5 6 10 9 15按规律填后面填几 急求答案,有人能帮忙吗?

8 人参与  2025年03月20日 18:15  分类 : 百科  评论

这个问题是一个寻找数列规律的问题。给定的数列是3,5,6,10,9,15,我们需要找出这个数列的下一个数字。

我们观察数列的变化规律。可以发现,数列的奇数项(第1、3、5项)分别是3、6、9,它们之间的差是3,呈现等差数列的特点。而数列的偶数项(第2、4、6项)分别是5、10、15,它们之间的差也是5,同样呈现等差数列的特点。

根据这个规律,我们可以推断出数列的下一个数字应该是奇数项的第7项,它应该等于第5项(9)加上3,即9+3=12。

数列3,5,6,10,9,15的后面应该填12。

In English:

This question is about finding the pattern in a sequence. The given sequence is 3, 5, 6, 10, 9, 15, and we need to find the next number in the sequence.

Firstly, we observe the pattern of the sequence. We can see that the odd-numbered terms (1st, 3rd, 5th terms) are 3, 6, 9 respectively, with a common difference of 3, forming an arithmetic sequence. The even-numbered terms (2nd, 4th, 6th terms) are 5, 10, 15 respectively, also with a common difference of 5, forming another arithmetic sequence.

Based on this pattern, we can infer that the next number in the sequence, which is the 7th term and an odd-numbered term, should be equal to the 5th term (9) plus 3, i.e., 9+3=1

Therefore, the number that should follow the sequence 3, 5, 6, 10, 9, 15 is 1

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