## Series

An archive of questions and answers that may be of interest to puzzle enthusiasts.
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Question 1 - series.00:
Are "complete this series" problems well defined? Show Answer

Question 2 - series.01:
M, N, B, D, P ? Show Answer

Question 3 - series.02:
H, H, L, B, B, C, N, O, F ? Show Answer

Question 4 - series.03:
W, A, J, M, M, A, J? Show Answer

Question 5 - series.03a;
G, J, T, J, J, J, A, M, W, J, J, Z, M, F, J, ? Show Answer

Question 6 - series.03b:
A, J, B, C, G, T, C, V, J, T, D, F, K, B, H, ? Show Answer

Question 7 - series.03c:
M, A, M, D, E, L, R, H, ? Show Answer

Question 8 - series.04:
A, E, H, I, K, L, ? Show Answer

Question 9 - series.05:
A B C D E F G H? Show Answer

Question 10 - series.06:
Z, O, T, T, F, F, S, S, E, N? Show Answer

Question 11 - series.06a:
F, S, T, F, F, S, ? Show Answer

Question 12 - series.07:
1, 1 1, 2 1, 1 2 1 1, ...

What is the pattern and asymptotics of this series? Show Answer

Question 13 - series.08a:
G, L, M, B, C, L, M, C, F, S, ? Show Answer

Question 14 - series.08b:
A, V, R, R, C, C, L, L, L, E, ? Show Answer

Question 15 - series.09a:
S, M, S, S, S, C, P, P, P, ? Show Answer

Question 16 - series.09b:
M, S, C, P, P, P, S, S, S, ? Show Answer

Question 17 - series.10:
D, P, N, G, C, M, M, S, ? Show Answer

Question 18 - series.11:
R O Y G B ? Show Answer

Question 19 - series.12:
A, T, G, C, L, ? Show Answer

Question 20 - series.13:
M, V, E, M, J, S, ? Show Answer

Question 21 - series.14:
A, B, D, O, P, ? Show Answer

Question 22 - series.14a:
A, B, D, E, G, O, P, ? Show Answer

Question 23 - series.15:
A, E, F, H, I, ? Show Answer

Question 24 - series.16:
A, B, C, D, E, F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, U, V, X, Y? Show Answer

Question 25 - series.17:
T, P, O, F, O, F, N, T, S, F, T, F, E, N, S, N? Show Answer

Question 26 - series.18:
10, 11, 12, 13, 14, 15, 16, 17, 20, 22, 24, ___ , 100, 121, 10000 Show Answer

Question 27 - series.19:
0 01 01011 0101101011011 0101101011011010110101101101011011 etc.

Each string is formed from the previous string by substituting '01' for '0' and '011' for '1' simultaneously at each occurance. Notice that each string is an initial substring of the previous string so that we may consider them all as initial substrings of an infinite string. The puzzle then is, given n, determine if the nth digit is 0 or 1 without having to construct all the previous digits. That is, give a non-recursive formula for the nth digit. Show Answer

Question 28 - series.20:
1 2 5 16 64 312 1812 12288 Show Answer

Question 29 - series.21:
5, 6, 5, 6, 5, 5, 7, 5, ? Show Answer

Question 30 - series.22:
3 1 1 0 3 7 5 5 2 ? Show Answer

Question 31 - series.23:
22 22 30 13 13 16 16 28 28 11 ? Show Answer

Question 32 - series.24:
What is the next letter in the sequence: W, I, T, N, L, I, T? Show Answer

Question 33 - series.25:
1 3 4 9 10 12 13 27 28 30 31 36 37 39 40 ? Show Answer

Question 34 - series.26:
1 3 2 6 7 5 4 12 13 15 14 10 11 9 8 24 25 27 26 ? Show Answer

Question 35 - series.27:
0 1 1 2 1 2 1 3 2 2 1 3 1 2 2 4 1 3 1 3 2 2 1 4 2 ? Show Answer

Question 36 - series.28:
0 2 3 4 5 5 7 6 6 7 11 7 13 9 8 8 17 8 19 9 10 13 23 9 10 ? Show Answer

Question 37 - series.29:
1 1 2 1 2 2 3 1 2 2 3 2 3 3 4 1 2 2 3 2 3 3 4 2 3 3 4 3 4 ? Show Answer

Question 38 - series.30:
I I T Y W I M W Y B M A D Show Answer

Question 39 - series.31:
6 2 5 5 4 5 6 3 7 Show Answer

Question 40 - series.32:
0 1 1 0 1 0 0 1 1 0 0 1 0 1 1 0 1 Show Answer

Question 41 - series.33:
2 12 360 75600 Show Answer

Question 42 - series.34:
3 5 4 4 3 5 5 4 3 Show Answer

Question 43 - series.35: 1 2 3 2 1 2 3 4 2 1 2 3 4 2 2 3 Show Answer

Question 44 - series.36: