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Odd Sequence (Posted on 2004-12-17) Difficulty: 4 of 5
Below are 2 different sequences, but the rules are the same,

2, 3, 3, 9, 9, ?

3, 7, 3, 3, 7, 9, ?

determine the two missing numbers and find the rule,

Bonus. how far can each sequence go? Can you find a longer sequence of numbers that follow the same rule?

See The Solution Submitted by Juggler    
Rating: 3.6667 (3 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution Cleaner list Comment 6 of 6 |
(In reply to UBASIC program and complete list by Charlie)

As the ends of the branches contain all the information leading to them, there's no point in showing all the steps that lead to one end of a branch, so here is a cleaner complete list:

23333
23339
23399339
2393
2399333
29399999
31193
31379
317
37337999
373393
37397
3793
3797
53
59393339
593993
599
719333
7331
73331
73939133
7393931
7393933
739397
739399
797

made with the modified UBASIC program:

 10   for S=1 to 9
 20    gosub *Build(S)
 30   next
 40   end
100   *Build(N)
101   local J
110   if nxtprm(N-1)=N then
120    :if nxtprm(10*N)>10*N+10 then print N:endif
130    :for J=1 to 9 step 2
140     :gosub *Build(N*10+J)
150    :next
170   return


  Posted by Charlie on 2004-12-19 15:47:29
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