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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?
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)
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