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Transcript 
SEQUENCES
A sequence of numbers often has a hidden pattern or rule for contructing the next number in
the sequence. Can you discover the patterns that will lead to the the missing numbers? The last
seqeunce of each level is extra tricky.
1. Level A
(a) 3, 4, 5, 6, 7, 8,
(b) 2, 4, 6, 8, 10, 12,
(c) 4, 7, 10,
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, 16, 19, 22,
(d) 1, 2, 2, 4, 3, 6, 4, 8, 5, 10, 6, 12,
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SEQUENCES
2. Level B
(a) 1, 2, 4, 8, 16, 32,
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(b) 1, 3, 9, 27, 81, 243,
(c) 1, 3, 7, 15, 31, 63,
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(d) 1, 2, 6, 12, 36, 72, 216,
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SEQUENCES
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3. Level C
(a) 1, 3, 6, 10, 15, 21, 28,
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(b) 1, 4, 9, 16, 25, 36, 49, 64,
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(c) Sometimes sequences are found in pictures. Can you draw the picture? Does this relate to
any previous sequence?
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SEQUENCES
4. Level D
Some sequences come from more complicated rules.
(a) 1, 1, 2, 4, 3, 9, 4, 16, 5, 25, 6, 36, 7, 49,
(b) −1, 1, 5, 13, 29, 61, 125, 253,
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(c) 2, −1, 3, 2, 4, 7, 5, 14, 6, 23, 7, 34, 8, 47, 9, 62,
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SEQUENCES
5. Level E
(a) 0, 1, 1, 2, 3, 5, 8, 13,
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(b) 0, 1, 1, 0, −1, −1, 0,
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(c) 0, 1, 1, 2, 12 , 23 , 23 , 35 , 53 , 85 , 85 , 13
8 ,
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Does this sequence remind you of something else?
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SEQUENCES
6. Super Challenge
The following sequences are constructed from some really weird rules:
(a) 0, 1, 10, 101, 10110, 10110101, 1011010110110,
(b) 1, 11, 21, 1211, 111221, 312211, 13112221, 1113213211,
Hint: Try reading the digits out loud.
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