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What number comes next in this sequence:
1 · 4 · 8 · 13 · 21 · 30 · 36 · ?
Puzzle Copyright © Kevin Stone
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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