Puzzle 329
What number comes next in this sequence:
1 · 2 · 6 · 24 · 120 · ?
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Answer
720.
Each term is a factorial, 6! = 1 x 2 x 3 x 4 x 5 x 6 = 720.
Puzzle 330
What number comes next in this sequence:
1 · 8 · 9 · 64 · 25 · 216 · 49 · ?
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Hint
Think of squares and cubes.
Answer
512.
Each term alternates between a square and a cube, 8 3 = 512.
Puzzle 331
What are the next two numbers in this sequence:
202 · 122 · 232 · 425 · 262 · 728 · ? · ?
Puzzle Copyright © Kevin Stone
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Answer
293 031: these are the numbers 20, 21, 22, 23 etc grouped into three digits.
Puzzle 332
What number comes next in this sequence:
15 · 20 · 20 · 6 · 6 · 19 · 19 · 5 · 14 · ?
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Hint
The sequence is related to 1, 2, 3, 4.
Answer
20.
Each term's initial letter position in the alphabet:
1 = One = O = 15th letter.
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4 = Four = F = 6th letter.
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20 = Ten = T = 20th letter.