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Home > PC > Chapter 8 > Lesson 8.2.5 > Problem 8-139

8-139.
  1. Start with any two numbers for a1 and a2. (Start with 1 and 1000, for example.) Homework Help ✎

    1. Apply the “Fibonacci rule” to these two beginning numbers. Then compute aj for j = 3, 4, …, 10, 11.

    2. Find (round off to the nearest 0.001).

    3. Find (round off to the nearest 0.001).

a1 = 1
a2 = 1000
a3 = 1 + 1000 = 1001
a4 = 1000 + 1001 = 2001
a5 = 1001+ 2001 = 3002
a6 = 2001+ 3002 = 5003
a7 = 3002 + 5003 = 8005
a8 = 5003 + 8005 = 13008
a9 = 8005 + 13008 = 21, 013
a10 = 13008 + 21013 = 34, 021
a11 = 21013 + 34021 = 55, 034

0.618