Puzzle 753
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 754
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 755
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 756
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
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