document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=470074>Question 470074</A>: <I><SPAN STYLE=\"word-break: break-all;\"> What should be the next letter in the following series?\r<BR>\n" );
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document.write( "A Z E B I Y O _ </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #323034 by </B><A HREF=/tutors/aboutme.mpl?userid=bucky><B>bucky(2189)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=bucky><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/images/nopicture.jpg><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=323034\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> This is more a puzzle than it is a problem in mathematics.<BR>\n" );
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document.write( "That being the case you need to look at the pattern in the series.<BR>\n" );
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document.write( "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<BR>\n" );
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document.write( "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.<BR>\n" );
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document.write( "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.<BR>\n" );
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document.write( "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.<BR>\n" );
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document.write( "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:<BR>\n" );
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document.write( "A Z E B I Y O C U X<BR>\n" );
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document.write( "Hope this helps you ....<BR>\n" );
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