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Mikhail's Sequence (Posted on 2004-06-13) Difficulty: 3 of 5
Mikhail, a great mathematics teacher, used to always give hard and complex sequences to his sons. After much thought, the brilliant mathematician thought that his sequences were a little too hard. So, he made another one that was easier. He showed it to his sons later that day:

6, 10, 4, 9, 6, 11

Then he asked what would be the next number in this sequence. Because there were many possibilities, the sons were stumped. So, Mikhail said, "This sequence cannot continue once you have the next number." After hearing this, the sons figured out the answer. What was the last number?

No Solution Yet Submitted by Victor Zapana    
Rating: 4.1111 (9 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution A wonderful puzzle (Solution) | Comment 3 of 15 |
The seventh number is 7.
If the sequence is completed by the addition of the seventh number, this can only be a reference to the numbers of letters in  the keywords identifying the "Seven Wonders of the World":
6 = Temple (The Temple of Artemis at Ephesus)
10 = Lighthouse (The Lighthouse of Alexandria)
4 = Zeus (The statue of Zeus at Olympia)
9 = Mausoleum (The Mausoleum at Halicarnassus)
6 = Rhodes (The Colossus of Rhodes)
11 = The Pyramids (The Great Pyramid of Giza)
Leaving only.....
7 = Babylon (The Hanging Gardens of Babylon)  
P.S. Victor, I rated this a 5, to counteract the nasty person who rated this learned puzzle as 1. 

Edited on June 13, 2004, 5:28 pm
  Posted by Penny on 2004-06-13 17:21:42

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