Skip to content / Đến nội dung
ThichHocToan.com

Australian AMC 2016 - Intermediate Question 25

AMC AUSTRALIA · Australian AMC 2016 - Intermediate

Question 25

A super-Fibonacci sequence is a list of whole numbers with the property that, from the third term onwards, every term is the sum of all of the previous terms. For example,

$$1,4,5,10,\ldots$$

How many super-Fibonacci sequences starting with 1 involve the number 2016?
  1. 1
  2. 3
  3. 5
  4. 7
  5. 9