The ratios of successive numbers in the Fibonacci sequence eventually get closer to which number?

a.

1.61

c.

2.3

b.

1.46

d.

1

We know that

the sequence of Fibonacci s tarting with 0 and 1, each new number in the sequence is simply the sum of the two before it.

0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144, ...

find the ratios

5/3=1.66

8/5=1.6

13/8=1.625

21/13=1.615

34/21=1.619

55/34=1.617

89/55=1.618

144/89=1.617

the answer is the option A) 1.61