Question

Using your calculateor, look at the successive ratios (of the Fibonacci sequence) of one term to the next. Make a conjecture.

I don't exactly get what the questions asking. I tried listing the ratios, but I really didn't see any pattern. Thanks in advance. :)

Answer 1

I suspect the pattern you will see is that each term is the sum of the prior two terms.

check that.

Answer 2

1,1,2,3,5,8,13,21,... as bobpursley told you

as far as ratios go, try this

extend the list to some reasonable length
divide any number by its previous number.
The further out you go, the closer you will get to (1+√5)/2, which is called the Golden Ratio.