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 What's Next? (Posted on 2002-11-11)
What row of numbers comes next? (This is a tough one!)
• 1
• 11
• 21
• 1211
• 111221
• 312211
• 13112221
(From - http://www.riddlenut.com/)

 See The Solution Submitted by Raveen Rating: 4.0714 (14 votes)

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 Puzzle Solution Comment 11 of 11 |

`Number "1" when written in words is "one". Also, the number of timesthat "1" appears in the first row is also "1", which when written in words is "one". Since the number one appears one times in the first row, thus, describing the first row in words, we obtain, "one one". This is "11" when converted back to the number format, which is the number in the 2nd row.`
`Thus, we depict the rationale behind the occurence of the numbers in agiven row in terms of the following table:`
`Row   Number       Description (in Words)1      1           One one2      11          two one3      21          one two one one4      1211        one one one two two one5      111221      three one two two one one 6      312211      one three one one two two two one7      13112221    one one one three two one three two one one8      1113213211  .......................................... and so on Consequently, the required next row of numbers is 1113213211 `
` `

Edited on April 18, 2008, 1:29 pm
 Posted by K Sengupta on 2008-04-18 12:56:35

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