All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars
 perplexus dot info

 Odd Sequence (Posted on 2004-12-17)
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.)
 UBASIC program and complete list | Comment 5 of 6 |

list
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    :print N;:AnyDone=1
130    :for J=1 to 9 step 2
140     :gosub *Build(N*10+J)
150    :next
160   :if AnyDone=1 then print:AnyDone=0
170   return
OK

run
2  23  233  2333  23333
23339
2339  23399  233993  2339933  23399339
239  2393
2399  23993  239933  2399333
29  293  2939  29399  293999  2939999  29399999
3  31  311  3119  31193
313  3137  31379
317
37  373  3733  37337  373379  3733799  37337999
37339  373393
3739  37397
379  3793
3797
5  53
59  593  5939  59393  593933  5939333  59393339
59399  593993
599
7  71  719  7193  71933  719333
73  733  7331
7333  73331
739  7393  73939  739391  7393913  73939133
739393  7393931
7393933
739397
739399
79  797
OK

In those cases where a line begins with a number longer than one digit, the preceding numbers in that sequence can be found on some preceding line, as the new line is a new branch off from a prior line.

There are five of length 8: 23399339, 29399999, 37337999, 59393339, 73939133.

 Posted by Charlie on 2004-12-18 15:06:59

 Search: Search body:
Forums (0)