Sequence Challenge
The Virginia Mathematics Teacher   Fall 1984



Find the pattern and name the next three elements in the sequence.

1.       1, 2, 3, 5, 8, ...
2.       3, 1, 4, 1, 5, ...
3.       1, 3, 6, 10, 15, 21, ...
4.       2, 3, 5, 7, 11, 13, ...
5.       1010, 1011, 1100, 1101,
          1110, 1111, ...

6.       1, 2, 6, 24, 120, 720, ...
7.       1, 5, 14, 30, 55, 91, ...
8.       1, 2, 10, 11, 12, 20, ...
9.       1, 3, 7, 15, 31, 63, ...
10.       2, 7, 1, 8, 2, 8, ...

11.       .01, .05, .1, .25, .5, 1, ...
12.       2, 3, 5, 6, 7, 8, 10, ...
13.       1, 4, 6, 8, 9, 10, ...
14.       1, 2, 2, 3, 2, 4, 2, ...
15.       1, 4, 9, 61, 52, 63, ...

16.       12, 30, 24, 30, 36, 40, ...
17.       15, 20, 20, 6, 6, 19, 19, ...
18.       12, 1, 1, 1, 2, 1, ...
19.       12, 13, 14, 15, 20, 22, ...
20.       1, 5, 12, 22, 35, 51, ...

21.       31, 59, 90, 120, 151, 181, ...
22.       3, 3, 5, 4, 4, 3, 5, ...
23.       1, 2, 3, 5, 8, 4, 3, 7, ...
24.       1, 4, 7, 11, 14, 17, 41, 44, ...
25.       11, 31, 71, 91, 32, 92, ...

26.       8, 5, 4, 9, 1, 7, 6, ...
27.       1, 8, 11, 69, 101, 181, 609, ...
28.       4, 6, 8, 9, 10, 14, 16, 18, ...
29.       14, 19, 29, 40, 44, 52, 59, ...
30.       1, 2, 6, 10, 4, 5, 9, 3, ...



Send any comments or questions to: David Pleacher