100pts: As the value of n increases, what famous ratio is approached by the ratio between the nth Fibonacci number and the (n-1) th Fibonacci number?

The Golden ratio, phi

Step-by-step explanation:

A fibonacci series is one in which the next term is equal to the sum of the previous two terms.

0,1,1,2,3,5,8 ...

When you take the ratio of these terms:

3/2 = 1.5

5/3 = 1.666666667

8/5 = 1.6

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As you increase the no. of terms, you'll observe that this ratio approaches 1.618 (ph, The Golden ratio)

Two successive Fibonacci Numbers, their ratio is very close to the Golden Ratio which equals approximately 1.618034