Saturday

July 26, 2014

July 26, 2014

Posted by **Rachel** on Saturday, October 15, 2011 at 5:52pm.

1.618034 - -.618034 = 2.236068/sqrt 5 = 1.00000

I understand how to use a calculator to write the decimal point using the golden ratio which is 1.618034 and the conjugate is -.618034. I also know that the relationship between the decimal expansions is that everything to the right of the decimal is the same except one is neg. and one is pos.

Now I have a problem. I have to use the Binet form to calculate the 20th Fib. number. I can use my decimals that I used in the problem above, but I am not sure how to do this. I have worked out the Fibonacci numbers and found that the 20th number is 6,765.

I could really use some help in understanding my problem.

- Fibonacci Numbers -
**Steve**, Saturday, October 15, 2011 at 7:10pmUsing Binet's formula,

F(20) = ((1+√5)^20 - (1-√5)^20)/(√5 * 2^20)

1+√5 = 3.236068

1-√5 = -1.236068

3.236068^20 = 1.5861811E10

1.236068^20 = 69.31819834

so, F(20) = 6765

**Related Questions**

grade 12 accounting - I posted a question a while ago, I was hoping someone ...

Computer Science - For MathMate: Mythical Man Ques. You answered my ques. ...

Science gr 8 - Hi I really need help !! What are the 3 problems fluid technology...

Calculus - I posted this several days ago but it hasn't been answered and I ...

Math - F25= 75,025 and F26= 121,393 where Fn is the nth term in the Fibonacci ...

Fibonacci numbers - I have three problems to answer dealing with Fibonacci ...

trigonometry (repost) Mathmate - I want to start by saying thank you . You have ...

College Mathematics - This is a repost. I posted a question 2 days ago and the ...

Math - Hi. I found this question on a Math Counts practice test and it ...

Math - Use each of the numbers 7, 8, 9, 10, and 11 once and only once to fill in...