Addition of Subscript F_4k+4: Explained with Examples

Thread starter Robb
Start date Apr 22, 2019
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In summary, the subscript F4k+4 is used to indicate the presence of fluorine atoms in a molecule or compound, providing information on the exact number and arrangement of fluorine atoms. It differs from a regular subscript as it specifically indicates fluorine atoms rather than just the number of atoms of a particular element. An example of an equation with a subscript F4k+4 is the chemical formula for fluoromethane, CH3F. The presence of the subscript F4k+4 can greatly affect the reactivity of a molecule, as fluorine is a highly electronegative element. While there may

Apr 22, 2019

Robb

Homework Statement: Let ##F_n be the n-th Fibonacci number, where F_0=0 and F_1=1. Prove that if n is a multiple of 4, the F_n is a multiple of 3.

Relevant Equations: ##F_{4k+4}

Can somebody please explain below

##F_{4k+4} = F_{4k+3} + F_{4k+2}##

I thought it would be

##F_{4k+4} = F_{4k+3} +F_{4k+1}##

Thanks!

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Apr 22, 2019

fresh_42

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The standard Fibonacci sequence always adds the two predecessors:
https://en.wikipedia.org/wiki/Fibonacci_number

Apr 22, 2019

Robb

AHHHH! Gracias!

Apr 22, 2019

fresh_42

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de nada

1. What is Subscript F_4k+4?

Subscript F_4k+4 is a mathematical notation used to represent a sequence of numbers that follow a specific pattern. It is commonly used in algebra and number theory.

2. How is Subscript F_4k+4 calculated?

The value of Subscript F_4k+4 can be calculated by plugging in the value of k into the formula 4k+4. For example, if k=2, then Subscript F_4k+4 would equal 12 (4(2)+4).

3. What are some examples of Subscript F_4k+4?

Some examples of Subscript F_4k+4 include: 8, 12, 16, 20, 24, etc. These numbers follow the pattern of increasing by 4 each time.

4. How is Subscript F_4k+4 used in science?

In science, Subscript F_4k+4 can be used to represent various quantities, such as the number of electrons in an atom's outermost energy level or the number of protons in a certain element. It can also be used in mathematical equations and calculations.

5. Are there any real-world applications of Subscript F_4k+4?

Yes, Subscript F_4k+4 has many real-world applications in fields such as chemistry, physics, and computer science. For example, it can be used to determine the number of isotopes in an element or to calculate the number of possible combinations in a computer program.