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A teacher asked studets to name numbers. After each number, the teacher responded using a certain rule. This table shows the numbers named by the students and the teacher's responses
Students input 1,2,3,4,5,6,7
Teachers response 3,3,5,4,4,3,5

One of the things you should be aware of is that any finites number of terms can generate an infinite number of sequences. However, there is usually a 'natural' one that the questioner has in mind. Try this
1 one 3
2 two 3
3 three 5
4 four 4
5 five 4
6 six 3
7 seven 5
8 5
9 4
10 3
Do you get the idea?

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