Following are several sets of numbers based on particular (and different) patterns (though not necessarily mathematical patterns), arranged from least difficult to most difficult, and with corresponding point values. The maximum score is 100 - how high can you get? If your answer doesn't match the one I submitted, but makes sense, you may credit yourself the points.

(1):(2 points):(3, 3, 5, 4, 4, 3, 5, 5, 4, 3, 6, 6, 8, ?)

(2):(4 points):(1888, 1892, 1896, 1904, ?)

(3):(5 points):(1, 12, 1, 1, 1, 2, ?)

(4):(6 points):(0, 1, 256, 2187, 4096, 3125, 1296, ?, 64, 9, 1)

(5):(9 points):(1, 22, 12, 5, 26, 16, 7, 28, 18, ?)

(6):(12 points):(2, 4, 5, 6, 9, ?, 15, 21, 26)

(7):(15 points):(0, 4, 7, 0, 2, 4, 6, 8, 0, 1, 3, 4, ?)

(8):(21 points):(6, 10, 14, 15, 21, 22, 26, 33, 34, 35, ?)

(9):(26 points):(0.4330, 1.0000, 1.7205, 2.5981, 3.6339, 4.8284, 6.1818, ?)

Here are the few that struck me right off:

1. Number of letters in each counting number:
   one(3), two(3), three(5), four(4), five(4), six(3), seven(5), eight(5), nine(4), ten(3), eleven(6), twelve(6), thirteen(8), fourteen(8). . .
   ? = 8
   


2. Leap years?
   1888, 1892, 1896, 1904, 1908..
   ? = 1908
   


3. No clue yet.
   


4. S_n=n^(10-n):
   0=0^10, 1=1^9, 256=2^8, 2187=3^7, 4096=4^6, 3125=5^5, 1296=6^4, 343=7^3, 64=8^2, 9=9^1, 1=10^0
   ? = 343
   


5. No clue yet.
   


6. No clue yet.
   


7. No clue yet.
   


8. No clue yet.
   


9. No clue yet.
   

2 + 4 + 6 = 12 points.. go me!

Posted by DJ on 2003-07-30 09:10:58