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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: 4.2000 (10 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
possible solution | Comment 13 of 16 |

sequence: an enumerated collection of objects in which repetitions are allowed.

2  7   5   3  6  1  4
I   L   A   K  I  M  H
6  10  4  9  6  11 7 (Western alphabet)

2  7   5   3  6  1   4
I   L   A   K  I  M  H
6  10  4  9  6  11 19 (Cyrillic alphabet)

There is no 8th number because Mikhail has only 7 letters.

Edited on March 23, 2018, 2:52 am
  Posted by broll on 2018-03-23 02:49:23

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