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3 June, 02:09

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?

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Answers (2)
  1. 3 June, 02:30
    0
    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)
  2. 3 June, 03:42
    0
    Two successive Fibonacci Numbers, their ratio is very close to the Golden Ratio which equals approximately 1.618034
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