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The Fibonacci Sequence is a special series of numbers discovered by its namesake. It is created by starting with one and adding consecutive terms. The first 8 terms are shown below:
1, 1, 2, 3, 5, 8, 13, 21 ...
It has been found that as the series goes on to infinity, the ratio of one term over the previous term becomes closer and closer to the Golden Ratio. This series is found many times in nature, including sunflower seeds and leaves on a plant stem. Here is the formula to calculate the nth term of the sequence:
1/sqrt(5) × (Φn - φn)
Φ = the golden ratio, Phi, (1 + sqrt(5)) / 2)φ = the golden ratio, phi, (1 - sqrt(5)) / 2) Enter a term of the sequence to see its value (1 and above): Please note that for terms 70 and above the accuracy of the last few digits cannot be guaranteed due to rounding errors. Below are the first 70 terms of the Fibonacci Sequence: |
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