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Question 470074: What should be the next letter in the following series?
A Z E B I Y O _
Answer by bucky(2189)   (Show Source):
You can put this solution on YOUR website! This is more a puzzle than it is a problem in mathematics.
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That being the case you need to look at the pattern in the series.
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Starting with the first letter in the series (letter A) every other following letter in the series is the next vowel, so every other letter beginning with the A should follow the pattern A, E, I, O, U
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Then starting with the second letter in the series (letter Z) the pattern is that every other letter following it will be a consonant. The next consonant after the Z (which is the first consonant at the end of the alphabet) is the first consonant at the beginning of the alphabet (letter B). And the consonant following the B is a Y which is the next consonant in descending order from the Z. And two letters after the Y, the next consonant appears. It is the letter C because that is the first consonant in ascending order from B.
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Note that the consonants are working their way toward the middle of the alphabet. Every fourth consonant following the letter Z is the next consonant downward in the alphabet. And starting with the letter B, every fourth consonant following the B will be the next consonant upward in the alphabet.
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Maybe this is enough to explain what I saw as the patterns. There may be other patterns also, but this one can be sufficiently explained to make it a possible solution.
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All the above rationale being the case, the series can be extended by adding in sequence the letters C and U and X. So the series becomes:
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A Z E B I Y O C U X
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Hope this helps you ....
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