# Number Sequences Puzzle

## The Puzzle:

There are infinitely many formulas that will fit any finite series.

Try to guess the next number in each sequence using the simplest mathematical operations or ideas (you may get a different answer than my solution though):

· 8723, 3872, 2387, ?

· 1, 4, 9, 18, 35, ?

· 23, 45, 89, 177, ?

· 7, 5, 8, 4, 9, 3, ?

· 3, 8, 15, 24, 35, ?

· 2, 4, 5, 10, 12, 24, 27, ?

· 1, 3, 4, 7, 11, 18, ?

· 99, 92, 86, 81, 77, ?

· 0, 4, 2, 6, 4, 8, ?

· 1, 2, 6, 24, 120, ?

· 5, 7, 12, 19, 31, 50, ?

· 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, ?

· 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, ?

· 4, 7, 15, 29, 59, 117, ?

· 4, 4, 341, 6, 4, 4, 6, 6, 4, 4, 6, 10, 4, 4, 14, 6, 4, 4, 6, 6, 4, 4, 6, 22, 4, 4, 9, 6, ?

Try to guess the next number in each sequence using the simplest mathematical operations or ideas (you may get a different answer than my solution though):

· 8723, 3872, 2387, ?

· 1, 4, 9, 18, 35, ?

· 23, 45, 89, 177, ?

· 7, 5, 8, 4, 9, 3, ?

· 3, 8, 15, 24, 35, ?

· 2, 4, 5, 10, 12, 24, 27, ?

· 1, 3, 4, 7, 11, 18, ?

· 99, 92, 86, 81, 77, ?

· 0, 4, 2, 6, 4, 8, ?

· 1, 2, 6, 24, 120, ?

· 5, 7, 12, 19, 31, 50, ?

· 27, 82, 41, 124, 62, 31, 94, 47, 142, 71, 214, 107, ?

· 126, 63, 190, 95, 286, 143, 430, 215, 646, 323, 970, ?

· 4, 7, 15, 29, 59, 117, ?

· 4, 4, 341, 6, 4, 4, 6, 6, 4, 4, 6, 10, 4, 4, 14, 6, 4, 4, 6, 6, 4, 4, 6, 22, 4, 4, 9, 6, ?

Do you have the answer? Check against our solution!