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.
(In reply to
Answer by K Sengupta)
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.
Puzzle Solution
