Puzzle of the Week for 4 January 1999

Happy New Year! What is the next term in each of these sequences?

1. 1999, 1234, 765, 469, 296, 173, ...
2. 1999, 11990, 21901, 32813, 64636, 128282, 411103, ...
3. 1999, 2, 3, 2, 2003, 2, 5, 2, 3, 2, ...