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EEJ MAIN Aptitude QUESTION #10961
Question 1
The Fibonacci sequence (1, 1, 2, 3, 5, 8, 13, 21...) appears in architectural proportioning and natural forms. The ratio of consecutive Fibonacci numbers approaches the Golden Ratio. What is the 10th Fibonacci number?
  • 55✔️
  • 34
  • 89
  • 144
Correct Answer Explanation

Fibonacci sequence: 1, 1, 2, 3, 5, 8, 13, 21, 34, 55

  • F(1) = 1
  • F(2) = 1
  • F(3) = 2
  • F(4) = 3
  • F(5) = 5
  • F(6) = 8
  • F(7) = 13
  • F(8) = 21
  • F(9) = 34
  • F(10) = 55

As \(n\to\infty\: \(\dfrac{F_{n+1}}{F_n} \to \phi = 1.618...\ (Golden Ratio)