The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ... where the next number in the sequence is simply the sum of the previous two numbers. As more terms are added to the sequence, the ratio of adjacent terms approaches the golden ratio.

What is the ratio of the tenth term to the ninth term shown, expressed as a decimal rounded to the nearest thousandth? (Hint: Use a calculator.)

Question

The Fibonacci sequence is 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, ...  where the next number in the sequence is simply the sum of the previous two numbers. As more terms are added to the sequence, the ratio of adjacent terms approaches the golden ratio.
 
What is the ratio of the tenth term to the ninth term shown, expressed as a decimal rounded to the nearest thousandth? (Hint: Use a calculator.)

anonymous · Answer

current sequence in Fibonacci is sum of previous two

anonymous · Answer

21/34
0.617

anonymous · Answer

i would do it the other way around (since it asked for ratio of tenth to ninth), but thats basically what you wanna do, divide the terms :)

anonymous · Answer

btw there are so many other questions you can ask about this sequence, most of which are waaaaaaay more interesting than this one. why would a teacher give this question?

anonymous · Answer

that's what I thought too, ones where we don't know previous two are intresting

anonymous · Answer

The last question this user asked was about the golden ratio.  Maybe the professor is just trying to show the link between the golden ratio and other topics in mathematics?