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Complete the following:
1. what is the golden ratio?
2. what is its algebraic form?
3. what is the number?
4. name one of its applications.
5. what is its relationship to the fibonacci sequence?

Sagot :

1) A mathematical ratio is known as the golden ratio. It is   frequently found in nature, and when employed in a design, it encourages compositions that look organic and natural and are visually appealing.

2)  The algebraic form of golden ratio is root of x2-x-1 = 0

3) The golden ratio number is approximately equal to 1.618

4) When a line is split into two equal sections, the sum of the two parts, (a) + (b), divided by (a), equals 1.618, and this is known as the Golden Ratio

5) When designing forms, logos, layouts, and other things, this formula might be useful. By dividing each number in the Fibonacci series by its direct predecessor, the golden ratio is obtained. Mathematically speaking, the quotient F(n)/F(n-1) will become closer to the limit 1.618 for rising values of n if F(n) describes the nth Fibonacci number. The golden ratio is a more popular name for this restriction.

Learn more about golden ratio here: https://brainly.com/question/2263789

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