Q: How can the Fibonacci series be used?

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As you expand the Fibonacci series, each new value in proportion to the previous approaches the Golden Ratio.

A Fibonacci number series is like the example below, 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610...... and so on in general Fibonacci numbers are just the previous two numbers added together starting with 1 and 0 then goes on forever.

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

The "golden ratio" is the limit of the ratio between consecutive terms of the Fibonacci series. That means that when you take two consecutive terms out of your Fibonacci series and divide them, the quotient is near the golden ratio, and the longer the piece of the Fibonacci series is that you use, the nearer the quotient is. The Fibonacci series has the property that it converges quickly, so even if you only look at the quotient of, say, the 9th and 10th terms, you're already going to be darn close. The exact value of the golden ratio is [1 + sqrt(5)]/2

37 is not in the Fibonacci number series, but is the sum of two Fibonacci numbers, 34 and 3. Fibonacci numbers are with 0, 1, 1, 2, 3, 5, 8, 13, 21, 34, 55, etc.

Related questions

20 is not a term in the Fibonacci series.

The Fibonacci sequence is used for many calculations in regards to nature. The Fibonacci sequence can help you determine the growth of buds on trees or the growth rate of a starfish.

Fibonacci!

As you expand the Fibonacci series, each new value in proportion to the previous approaches the Golden Ratio.

132134...

Series

It is 354224848179261915075.

The Fibonacci series.

A Fibonacci number series is like the example below, 1,1,2,3,5,8,13,21,34,55,89,144,233,377,610...... and so on in general Fibonacci numbers are just the previous two numbers added together starting with 1 and 0 then goes on forever.

The sum of the previous two numbers in the series.

randomly

10946