math
posted by bill .
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?

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)
Respond to this Question
Similar Questions

maths! please help me it is an emergency!!!!!!!!!!
what is the fibonacci sequence and what is its relationship to the golden ratio? 
Computer Science  MATLAB
One interesting property of a Fibonacci sequence is that the ratio of the values of adjacent members of the sequence approach a number called “the golden ratio” or PHI. Create a program that accepts the first two numbers of a Fibonacci … 
Computer Science  MATLAB
I guess it was skipped One interesting property of a Fibonacci sequence is that the ratio of the values of adjacent members of the sequence approach a number called “the golden ratio” or PHI. Create a program that accepts the first … 
Math *URGENT
Please give the answers and solutions for each. 1.If the second term is 2 and the seventh term of a geometric sequence is 64, find the 12th term. 2. Which term if the geometric sequence 18,54,162,486,... is 3,188,646? 
Math (fibonacci
A sequence of numbers is called a Fibonaccitype sequence if each number (after for the first two) is the sum of the two numbers which precede it. For example, 1, 1, 2, 3, 5, 8 ... is a Fibonacci type sequence. If 1985, x, y, 200 … 
computer science programming
Elements – sequenceseries outputting Write a program that prints the following elements: 1, 3, 5, 7, 9, 11, 13, 15, 17, 19, (hereto referred to as elements) etc., up till a userentered value. The program should not print more than … 
math
Determine whether the sequence is a Fibonaccitype sequence. If it is, determine the next two terms of the sequence. 4, 5, 1, 3, 2 
Maths
A superFibonacci sequence is a list of whole numbers with the property that, from the third term onwards, every term is the sum of all the previous terms. For example, 1, 4, 5, 10, ... How many superFibonacci sequences with 1 involve … 
Fibonacci Sequence
The sequence < un > is defined by the recurrence Un+1 = 3Un+1\5Un+3 initial condition of u1 = 1: Need to show un in terms of Fibonacci / Lucas numbers 
Maths
The Fibonacci sequence 1, 1, 2, 3, 5, 8, 13, 21, ... starts with two 1s, and each term afterwards is the sum of its two predecessors. Which one of the ten digits is the last to appear in the units position of a number in the Fibonacci …