Understanding the Golden Ratio by Using the Fibonacci Sequence and Binet's Formula

Event Type

Research Presentation

Location

Dana Science Building, 2nd floor

Start Date

24-4-2026 1:00 PM

End Date

24-4-2026 2:30 PM

Description

In this paper, I will be explaining the connections between Golden Ratio, the Fibonacci Sequence, and Binet's Formula. Using the quadratic formula and the limit theorem to prove how (1+√5)/2 is not only the Golden Ratio but also the limit of ratio of consecutive terms of the Fibonacci sequence.

Comments

Under the direction of Dr. Tim Magee.

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Apr 24th, 1:00 PM Apr 24th, 2:30 PM

Understanding the Golden Ratio by Using the Fibonacci Sequence and Binet's Formula

Dana Science Building, 2nd floor

In this paper, I will be explaining the connections between Golden Ratio, the Fibonacci Sequence, and Binet's Formula. Using the quadratic formula and the limit theorem to prove how (1+√5)/2 is not only the Golden Ratio but also the limit of ratio of consecutive terms of the Fibonacci sequence.