Wei-Hwa's Puzzle Challenge Number 21
Leave comments here: 3 comment(s)
October 13, 2006:
No fancy puzzle this week; I just got back from being part of Team USA at the 15th World Puzzle Championship. But here's a rather basic puzzle from the competition I can share:
What is next in this sequence? 15, 16, 17, 21, 23, 30, 33, 120, ?
Answers / Solutions: Answers are usually (and will be) posted in the comments section. Full answers will be posted on the solve puzzles page.
Test your friends! Go to: http://solvepuzzles.googlepages.com/
Play Old Puzzles! Go to: http://solvepuzzles.googlepages.com/ OR The Official Page
No fancy puzzle this week; I just got back from being part of Team USA at the 15th World Puzzle Championship. But here's a rather basic puzzle from the competition I can share:
What is next in this sequence? 15, 16, 17, 21, 23, 30, 33, 120, ?
Answers / Solutions: Answers are usually (and will be) posted in the comments section. Full answers will be posted on the solve puzzles page.
Test your friends! Go to: http://solvepuzzles.googlepages.com/
Play Old Puzzles! Go to: http://solvepuzzles.googlepages.com/ OR The Official Page
Labels: 21, answer, challenge, google, puzzle, solution, wei-hwa
By Puzzle Solver Wannabe at 5:12 PM
3 Comments:
**Spoiler**
I believe the next number in the sequence is 1111. This seems to be a progression of the decimal number 15 expressed in decreasing bases. 15 in Base 9 is 16. 15 in Base 8 is 17. 15 in Base 7 is 21. You get the idea.
For N = 1, 2 ...
it's the number Ap...Ao
for which:
p being the greatest so that
(11-n) * (p-1) is smaller than 15,
from i = 0 to p,
SUM [ Ai (11-n)*(i-1) ] = 15
Jean-Louis Legrand
France
Oh my God I feel so dumb. :)
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