# Sequence Question from past post

I recently saw a post about sequences. This made me remember some other post someone had posted here on Math.SE. He did not want answers but wanted general ways to tackle them. I did spend an hour or so on these and yet I could not come up with complete solutions to all of these. That is why I am reposting this with different question. What are solutions to these?

1: $\{4, 2 ,36, 4, 5, 1, 36, 16, 6, 3, 81, \ldots\}$

2: $\{\frac{1}{4},\frac{1}{4},\frac{1}{2},\frac{3}{2},6,\ldots\}$

3: $\{7,9,11,6,11,8,5,13,5,4,15,\ldots\}$

4: $\{2,1,2,3,2,9,9,0,1,1,9,\ldots\}$

5: $\{2, 1, 2, 3, 8, 0, 1, 9, 1, 2, 1,\ldots\}$

6: $\{4,2,5,9,5,11,13,7,16,17,9,\ldots\}$

The first three seem to have solutions:

1 $64,7,2,81,...$

2 $30,180,1260...$

3 $2,3,17,...$

I am looking for solutions for last three.

P.S. I accept (as pointed out in other thread) that you can take any number and generate a formula for sequence such that next term can be chosen as wished. But, I am looking for general terms that are solvable without much ado and with simplest formulas or patterns.

• So when you say "solution" you mean "find the next three or four terms"? Oh, and can you give a link to the past post(s)? Feb 21 '13 at 22:59
• yes, i do mean so. Link
– user45099
Feb 22 '13 at 6:51
• Related to: math.stackexchange.com/questions/291443/… Feb 22 '13 at 7:08
• These sequence problems are among the many that are collected here: m4maths.com/placement-puzzles.php?SOURCE=IBM Feb 22 '13 at 7:27
• It's not related to. It's copy from. I clarified, I want solution to these that the original poster did not want.
– user45099
Feb 22 '13 at 9:47