Puzzle 333
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
Puzzle 334
What number comes next in this sequence:
1 3 5 7 11 {?}
Puzzle Copyright © Kevin Stone
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Hint
A very common sequence, but in base 8!
Answer
13.
Odd numbers expressed in base 8, 11 in base 8 = 13.
Puzzle 335
What letter comes next in this sequence:
A E H L O S {?}
Puzzle Copyright © Kevin Stone
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Hint
Look at the gaps in the alphabetic position.
Answer
V.
Skip three and two letters alternately.
Puzzle 336
What is the next number in this sequence:
100 365 24 60 {?}
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Hint
The answers are related to time.
Answer
60.
The numbers represent 100 years in a century, 365 days in a year, 24 hours in a day, 60 minutes in an hour and 60 seconds in an minute.
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