Fibonacci number

Here is an illustration:

The ratios originate from the series: 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, 144…

The golden ratio 1·618034 is likewise called the golden section or the golden mean.

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Any number, all by itself, is a monomial, like 5 or 2700. A monomial can also be a variable, like “m” or “b”. It can also be a combination of these, like 98b or 78xyz. It cannot have a fractional or negative exponent. These are not monomials: 45x+3, 10 - 2a, or 67a - 19b + c.

Two rules about monomials are:

• A monomial multiplied by a monomial is also a monomial.
• A monomial multiplied by a constant is also a monomial.

When looking at examples of monomials, you need to understand different kinds of polynomials. Following is an explanation of polynomials, binomials, trinomials, and degrees of a polynomial.  

Polynomials

A polynomial is an algebraic expression with a finite number of terms. These terms are in the form “axn” where “a” is a real number, “x” means to multiply, and “n” is a non-negative integer. Examples are 7a² + 18a - 2, 4m², 2x⁵ + 17x³ - 9x + 93, 5a-12, and 1273.

Binomials

A binomial is a polynomial with two terms. 3x + 1, 2x³ - 5x, x⁴ - 4, x - 19 are examples of binomials.

Trinomials

A trinomial is a polynomial with three terms. Examples of trinomials are 2x² + 4x - 11, 4x³ - 13x + 9, 7x³ - 22x² + 24x, and 5x⁶ - 17x² + 97.