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 This will go on for a while. (Posted on 2005-04-15)
9, 9, 18, 9, 17, 8, 15, 6, 11, 2, 3, 5, 8, 13, 4, 7... There is a pattern that shows the next number(s). Find what it is and say what the next three are.

 See The Solution Submitted by ron Rating: 2.3333 (3 votes)

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 Puzzle Solution Comment 11 of 11 |

The third term (18) of the given sequence is obtained by adding the digits 9 and 9 inclusive of the first two terms.

Each of the other terms from the 4th term onwards are obtained by adding the two digits appearing to the left of a given term.

For example, the digits 7 and 8 appears to the left of the seventh term. Thus, the seventh term is equal to: 7+8 = 15.

Accordingly, proceeding in a similar manner, we must have:

The 17th term = 4+7 = 11, and:

The 18th term = 1+1 = 2, and:

The 19th term = 1+2 = 3.

Consequently, the required next three numbers are 11, 2 and 3.

 Posted by K Sengupta on 2008-07-10 15:47:01

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