kyndalltownsend2002 kyndalltownsend2002
  • 12-07-2020
  • Mathematics
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Two large numbers of the Fibonacci sequence are F49=7,778,742,049 and f50=12,586,269,025. What is the approximate value of the quotient f50/f49?

Two large numbers of the Fibonacci sequence are F497778742049 and f5012586269025 What is the approximate value of the quotient f50f49 class=

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ronhagrid310
ronhagrid310 ronhagrid310
  • 12-07-2020

Answer:

Option A

Step-by-step explanation:

Consider the Fibonacci series:

1, 1, 2, 3, 5, 8, 13, 21, 34, 55, ...

Ignore the first 3 terms ( keys)

f(5)/f(4) = 5/3 = ~1.67

f(6)/f(5) = 8/5 = 1.60

f(7)/(f6) = 13/8 = ~1.63

f(8)/f(7) = 21/13 = ~1.61

f(9)/f(8) = 34/21 = ~1.62

f(10)/f(9) = 55/34 = ~1.62

...

=> Option A is the solution

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