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.)

campbell_st · Answer

the ratio is 21:34

divide both sides by 21

and you'll get 

1: 34/21           just get 34/21 as a decimal

anonymous · Answer

im confused :(

anonymous · Answer

wait so the answer would be 1.619 correct? Can you check if this is write @Luis_Rivera ?

anonymous · Answer

yes,  its  1.61803398875