AMC 8 2009 Problem 5

AMC8 2009 年第 5

数列与规律★★☆☆☆
A sequence of numbers starts with 1, 2, and 3. The fourth number of the sequence is the sum of the previous three numbers in the sequence: 1+2+3=6. 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?
某个数列以 1,2 和 3 开头。第四项是数列里前 3 项之和: 。类似的,第 4 项之后的每一项都是这一项之前的 3 项之和。那么这个数列的第 8 项是多少?
  1. A.11
  2. B.20
  3. C.37
  4. D.68
  5. E.99

正确答案 · Correct Answer

D

解析 · Solution

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