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| Lumber Netters (Posted on 2003-09-08) |
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The numbers in these logical sequences have been replaced by their initial letter.
For example, the letters T, F, S, E, T, T ... correspond to the sequence of even numbers (2, 4, 6, 8, 10, 12 ...).
Determine the corresponding numbers for these sequences:
- O T S T F T T T F F
- T O F T S F E S T N T E
- F T O S T S E F T O
- O S E F N T S T F T T E
- T T F S E T S N T T
- F T T S F O S T S F T S
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Submitted by DJ
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Rating: 3.9286 (14 votes)
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Solution:
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- 1, 3, 6, 10, 15, 21, 28, 36, 45, 55
It is found by adding two to the first number (1), then three to the next term, four to the next, and so on.
- 2, 1, 4, 3, 6, 5, 8, 7, 10, 9, 12, 11
It is found by subtracting one from the first term (2), and adding three to the result, and repeating. Alternatively, it can be described as the sequences of even and odd numbers alternated with each other.
- 512, 256, 128, 64, 32, 16, 8, 4, 2, 1
This is found by taking each term, starting with 512, and dividing it by 2 to get the next term.
- 1, 6, 11, 4, 9, 2, 7, 12, 5, 10, 3, 8
Each term is found by adding five hours to the previous term (or add 5 on a mod 12 scale).
- 2, 3, 5, 7, 11, 13, 17, 19, 23, 29
This is simply the sequence of prime numbers.
- 5, 2, 2, 6, 4, 1, 6, 3, 7, 5, 2, 7
These are the dates of the first Sunday in every month of this year (2003).
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