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How do i calculate the fibonacci sequence in relation to the golden ratio?

Question

How do i calculate the fibonacci sequence in relation to the golden ratio?

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Step 1

The golden ratio is a unique number whose value is 1.618.

Consider 1 as the first element ofthe Fibonacci series.
Divide 1 by 1.618 and obtain the result as follows.
1
= 0.618 1
1.618
Thus, the first two elements are 1, 1.
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Consider 1 as the first element ofthe Fibonacci series. Divide 1 by 1.618 and obtain the result as follows. 1 = 0.618 1 1.618 Thus, the first two elements are 1, 1.

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Step 2

In order to obtain the third element, mul...

1x1.618 1.618 2
Thus, the first three elements are 1, 1, and 2
Thus, the other elements can be obtained as
Old element
Old element * Golden ratio
New element
2x1.618 3.236 3
3x1.618 4.8545
5 x1.618 8.090 8
8x1.618 12.944 13
13x1.618 21.03421
2
3
5
5
8
8
13
21
13
Thus, the Fibonacci series obtained so far is 1, 1, 2, 3, 5, 8,13, 21
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1x1.618 1.618 2 Thus, the first three elements are 1, 1, and 2 Thus, the other elements can be obtained as Old element Old element * Golden ratio New element 2x1.618 3.236 3 3x1.618 4.8545 5 x1.618 8.090 8 8x1.618 12.944 13 13x1.618 21.03421 2 3 5 5 8 8 13 21 13 Thus, the Fibonacci series obtained so far is 1, 1, 2, 3, 5, 8,13, 21

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Advanced Math

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