Puzzle 333
What number comes next in this sequence:
1 · 2 · 2 · 4 · 8 · 11 · 33 · 37 · 148 · ?
Puzzle Copyright © Kevin Stone
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Hint
The sequence involves both adding and multiplying in some way.
Answer
153.
The sequence is created using: +1 x1 +2 x2 +3 x3 +4 x4 +5.
Puzzle 334
Can you find three words …
… which contain two consecutive i's.
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Hint
The words begin with the letters R, S, T.
Answer
RADII, SKIING, TAXIING.
You could also have GENII.
Puzzle 335
What animal comes next in this sequence:
dog · rooster · monkey · sheep · horse · snake · ?
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Answer
Dragon.
From the Chinese calendar in reverse order.
Puzzle 336
What number comes next in this sequence:
1 · 4 · 8 · 13 · 21 · 30 · 36 · ?
Puzzle Copyright © Kevin Stone
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Hint
Try writing the numbers out as letters.
Answer
45.
Reasoning
Each term increases by the number of letters in the previous term (ignoring any hyphens).
1 + length("ONE") = 4
4 + length("FOUR") = 8
8 + length("EIGHT") = 13
13 + length("THIRTEEN") = 21
21 + length("TWENTYONE") = 30
30 + length("THIRTY") = 36
36 + length("THIRTYSIX") = 45
