The numbers in these logical sequences have been replaced by their initial letter.

For example, the letters T, F, S, E, T, T ... correspond to the sequence of even numbers (2, 4, 6, 8, 10, 12 ...).

Determine the corresponding numbers for these sequences:

1. O T S T F T T T F F

2. T O F T S F E S T N T E

3. F T O S T S E F T O

4. O S E F N T S T F T T E

5. T T F S E T S N T T

6. F T T S F O S T S F T S

Sequence Four is a modular arithmetic sequence.
x(n) = (x(n-1) + 5) mod 12

6 = (1 + 5) mod 12
11 = (6 + 5) mod 12
4 = (11 + 5) mod 12
etc

Posted by Brian Smith on 2003-10-07 10:55:51