Difference between revisions of "2009 AMC 8 Problems/Problem 5"
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A sequence of numbers starts with <math> 1</math>, <math> 2</math>, and <math> 3</math>. The fourth number of the sequence is the sum of the previous three numbers in the sequence: <math> 1\plus{}2\plus{}3\equal{}6</math>. In the same way, every number after the fourth is the sum of the previous three numbers. What is the eighth number in the sequence? | A sequence of numbers starts with <math> 1</math>, <math> 2</math>, and <math> 3</math>. The fourth number of the sequence is the sum of the previous three numbers in the sequence: <math> 1\plus{}2\plus{}3\equal{}6</math>. In the same way, every number after the fourth is the sum of the previous three numbers. What is the eighth number in the sequence? | ||
Revision as of 12:19, 14 August 2011
Problem
A sequence of numbers starts with 
, 
, and 
. The fourth number of the sequence is the sum of the previous three numbers in the sequence: $1\plus{}2\plus{}3\equal{}6$ (Error compiling LaTeX. Unknown error_msg). In the same way, every number after the fourth is the sum of the previous three numbers. What is the eighth number in the sequence?
