Puzzles/Number sequences

From Wikibooks, open books for an open world
Jump to navigation Jump to search

The task is to find the hidden principle that constructs the list, and sometimes to continue the sequence, which is indicated by a question mark. Be aware: some sequences are infinite, some are finite. If you find a different solution than the given one please add it to the solution page. Creativity is encouraged!

Easy sequences[edit | edit source]

1 2 4 8 ?                  solution
1 2 4 7 ?                  solutions (more than one)
3 9 27 81 ?                solution
2 3 5 8 13 21 ?            solution
1 0 1 0 1 0 1 1 0 1 0 1    solution
2 3 6 7 1 9 4 5 8          solution
0 1 1 1 1 1 1 ...          solution

Medium Sequences[edit | edit source]

1 3 7 61 ?                 solution
2 -2 0 2 -3 0 ?            solution
1 4 1 5 9 ?                solution

Hard Sequences[edit | edit source]

                 ??
               85  90
             29  67   0    solution
           83  33  69   2
          1  81  91  57  36
       60  55  61  29  35   6
     29  42  45  23  13   5  16
   23  13  44   7  39  69  47  98
 61  41  91  82   1  37  27  71  36
6   4   6   9   0   8   9   5   9   6
                 ??
               73  94
             69  81  28    solution
           56   3  43  54
         33  98  49  91   8
        7  31  44  27  57   6
     26  45  71  38  61  65  88
   25  36   7  97  76  91  87  86
 83  55  98   1   5  10   1  15  96
3   9   3   4   4   3   0   7   5   6