Find the pattern and state the next few numbers.
0 0 1 3 2 6 5 13 12 14 11 27 24 ...
Does this sequence ever revert back to a single digit number? If so, when?
(In reply to
re: Solution (if errors in sequence) by Erik O.)
Just to follow up what Jer had started...
"As per the hint, convert to binary. I added leading zeroes to keep the digits lined up.
00000
00000
00001
00011
00010
00110
00101
01101
01100
01110
01011
11011
11000
Notice the last column alternates 0's and 1's in blocks of 2.
The
column before in blocks of 2 [this is where the mistake lies...they alternate in blocks of 3, not 2] and the one before in blocks of 5..."
So yes, as Jer pointed out, the columns alternate in blocks of 2,
then 3, then 5, 7, 11, etc., which are the prime numbers. The next term
in the sequence--the 13th term--would be 111000, or 56.
0 0 1 3 2 6 5 13
12 14 11 27 24 56 49 55...
Oh yeah, Erik, baseball?? I don't get it... (of course, you did say the hint was vague...)
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Posted by yocko
on 2005-02-28 20:10:24 |
Just to wrap it up...
