Showing posts with label sequence. Show all posts
Showing posts with label sequence. Show all posts

Tuesday, February 21, 2006

What's the next number in the sequence?

Here's a sequence puzzle that will make you think. It's an infinite sequence so be prepared to show the next 7 or 8 terms.

Q: Can you figure out the next few terms in the following sequence?
5, 15, 5, 18, 5, 24, 14, 20, 5, 14, 14, 5...
I'll post the answer later in the week.
Hint: Changing the sequence to the letters in the alphabet we have EOEREXNTENNE.
A: The sequence is now part of the Online Encyclopedia of Integer Sequences. Looking at onE, twO, threE, fouR, fivE, siX, seveN, eighT, it should be apparent that we are looking at the last letter of each number (in English) which is then converted to its position in the alphabet (E=5, O=15, etc.) following the pattern, the next few terms are ...14, 14, 14, 14, 14, 14, 14, 25...

Saturday, October 29, 2005

A Sequence Puzzle of my Own Devising

I was just fiddling with numbers recently and came up with the following sequence:
4, 5, 5, 6, 14, 11, 8, 11, 8, 8, 13...
Can anyone tell me what the next few terms in the sequence might be? Here's a cryptic hint: 'geometry'
Edit: There's a free cherry pie for whomever can get their mind 'round this puzzle and come up with the answer...
Edit: Cherry pi? Since I posted this puzzle, my sequence has been accepted to the Encyclopedia of Integer Sequences. To generate the sequence, take the digits of pi: 3. 1 4 1 5 9 2 6 5 3 5 8 9 7 9... If you take the sum of each consecutive digit (3+1), (1+4), (4+1), (1+5) etc. you get 4, 5, 5, 6, 14 and so forth. So the next few terms are 17, 16, 16... And did anyone notice the time on the posting?