Question

What is the approximate ratio between the Fibonacci number 610 and the number 377, which immediately precedes it in the sequence?

(A) 1.62
(B) 0.62
(C) 1.61
(D) 0.61

Answer 1

When dividing the Fibonacci number 610 by its predecessor 377, the ratio is approximately 1.618, which rounds to 1.62, closely aligning with the golden ratio.

Step-by-step explanation:

The approximate ratio between the Fibonacci number 610 and the number 377, which immediately precedes it in the Fibonacci sequence, is found by dividing the former by the latter: 610 / 377. The Fibonacci sequence is known to converge to the golden ratio as the numbers get larger, and the golden ratio is approximately 1.618. When you perform the calculation for these two Fibonacci numbers, you get a ratio of about 1.6180339887, which is very close to the golden ratio and to option (A) 1.62 when rounded to two decimal places.