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.

(1st digit) 9, (+2nd digit) 9 (=), 18, (since 3rd digit >18, 1+8=) 9, (3rd digit, 18+, 4th digit, 9-10=) 17, (since 5th digit 17>10, 1+7=) 8, (5th digit, 17+, 6th digit, 8-10=) 15, (since 7th digit > 10, 1+5=) 6, (7th digit, 15+ 8th digit, 6-10=) 11, (since 9th digit >10, 1+1=) 2, (10th digit, 2+, 11th digit, 3=) 5, (11th digit, 3 + 12 digit, 5=) 8, (12th digit, 5 +, 13th digit, 8=) 13, (since 13th digit > 10, 1+3=) 4, (14th digit, 13 + 15th digit, 4 -10=) 7, (15th digit, 4 +7, 16 digit) = 11, (since 17 digit > 10, 1+1=) 2, (17th digit, 11+, 18th digit, 2-10=) 3, (since 2+3=) 4, .....

Thus, the next numbers are 11, 2, 3, 5, 8, 13, 4, 7, 11, 2, 3, 5,...

Posted by Jonathan Chang on 2005-04-15 15:34:35