Skip to content

Fibonacci numbers and converting miles to kms

August 2, 2012

This is a different application of Fibonacci numbers!

Fibonacci numbers are the sequence
1, 1, 2, 3, 5, 8, 13, 21, 34, 55, 89, and so on. (Add two numbers in the sequence to get the next one.)

Take two neighboring numbers in the sequence, such as 5 and 8. Turns out, 5 miles is approximately 8 km.  Take 34 and 55:  34 miles is about 55 km.

If your number is not in the sequence, write it as a sum of numbers that are:

Convert 10 miles into kilometers. 10 = 5 + 5, and 5 miles is about 8 km. So, 10 miles is about 16 km.

OR

Convert 25 kilometers into miles. 25 = 21 + 2 + 2.

21 km = 13 miles (about)
2 km = 1 mile (about)
2 km = 1 mile (about)

25 km = about 13 + 1 + 1 miles = about 15 miles.

The reason has to do with the fact that the conversion factor, (0.621371192 mi/km) is pretty close to the ratio to which sequential Fibonacci numbers converge (0.61803)

More details here http://riebecca.blogspot.co.uk/2012/07/adventures-in-fibonacci-numbers.html

Advertisements

From → Maths Lessons

Leave a Comment

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s

%d bloggers like this: