Homework Help: math

Posted by bill on Sunday, March 7, 2010 at 9:41pm.

The Fibonacci sequence of numbers begins 1,1,2,3,5,8,13,21,34,55,…and continues by the rule: every number is the sum of the two previous numbers.
a. Determine the next five (eleventh through fifteenth) elements of this sequence.
b. Compute the ratio of the fourteenth and fifteenth elements of this sequence. Is it close to the golden ratio?

math - Reiny, Sunday, March 7, 2010 at 11:18pm
1,1,2,3,5,8,13,21,34,55,89,144,233,377,610, ...

ratio of 15th/14th = 610/377 = 1.618037

the golden ratio = (1 + √5)/2 = 1.618033989..

for a difference of .0000031
(not bad)

Answer this Question

Related Questions

MATH - the numbers below are Fibonacci numbers. 1,1,2,3,5,8,13,21,34,55,... ...
math - Fibonacci sequnce has this pattern: 1,1,2,3,5,8,13,21,34,55,...... each ...
Fibonacci numbers - I have three problems to answer dealing with Fibonacci ...
Geometry - Fibonacci sequnce has this pattern: 1,1,2,3,5,8,13,21,34,55,...... ...
maths! please help me it is an emergency!!!!!!!!!! - what is the fibonacci ...
Math *URGENT - Please give the answers and solutions for each. 1.If the second ...
Computer Science - MATLAB - One interesting property of a Fibonacci sequence is ...
Math - Hey can you please explain Fibonacci numbers in the simplest way possible...
Computer Science - MATLAB - I guess it was skipped One interesting property of a...
Algebra - One number is 6 more than another. If the sum of the smaller number ...

For Further Reading

First Name:
School Subject:
Answer: