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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
Fibonacci was a brilliant man. He actually invented something called the Fibonacci code. It starts like this: 0,1,1,2,3,5,8,13,21,34,55,89,144,233,377,610,987,1597,2584. It is an interminable code and nobody really works on it professionally because it is impossibly long. 'What do you have to do to solve it?' is probably what you are asking yourself, so i will tell you. You put down the number zero, then you put down the next consecutive number, which is one, and then you add the two. You take the answer of 0+1, which is one, and then put it as the next number in the code. Next you take the answer to the problem that you just solved, which is one, and add it to the number before it, one, then you have the next number in the code. You go on and on.
Never. There are no TAKS tests anymore.
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n means any number in the sequence.Let's take for example the sequence; x=0,2,4,6,8,10,12,14when x=4, then n=3, because 4 is the third number in the sequence