Posted by Jennifer on Sunday, October 2, 2011 at 5:05pm.
I have three problems to answer dealing with Fibonacci numbers. I understand the first two, but would like for reassurrance that they are correct and lost on the last one and could use some help. Thank you.
1. Fibonacci numbers can not be used more than once. Find sums for numbers 75 and 40. 2+5+13+21+34=75
1+5+13+21=40
2. Writing the last equation in the Fibonacci
1=2-1
1+1=3-1
1+1+2=5-1
1+1+2+3=8-1
1+1+2+3+5=13-1
**1+1+2+3+5+8=21-1
*************************
1=1^2
1-1=-1^2
1-2+5=2^4
1-2+5-13=-3^2
1-2+5-13+34=5^2
**1-2+5-13+34-89=-8^2
This is the one I am completely lost on
3. Choose any term of the Lucas sequence other than the first and square it
1,3,4,7,11,18,29,47,76,123
Then multiply the terms immediately before and after the one you chose. Subtract the smaller result from the larger. Repeat this procedure two more times starting with different terms. Then make a conjecture about the result of the procedure.
I think I need to
3^2=9
9x1=3 9x4=36
36-3=33
*************************
4^2=16
16x3= 48 16x7=112
112-48=64
*************************
7^2=49
49x4=196 49x11=539
539-196=343
*************************
I do not know if this is correct or how to write a conjecture with the results. Appreciate all help
- Fibonacci numbers - bobpursley, Sunday, October 2, 2011 at 5:24pm
1,3,4,7,11,18,29,47,76,123
Pick number: 4, square it 16
then 3x7=21, 21-16=5
Pick number: 11, square it 121
then 7x18=126, 126-121= 5
pick number 47: square it 2209
then 29x76=2204, 2209-2204= 5
first two are correct.
Answer this Question
Related Questions
Pre-Calc - Find three examples of the Fibonacci sequence in nature. Write a ...
math - There is no function equation for the Fibonacci numbers, you have to use ...
bole seniour school - construct flow chart for generating the nth fibonacci ...
MATH - the numbers below are Fibonacci numbers. 1,1,2,3,5,8,13,21,34,55,... ...
Fibonacci Numbers: Understand one part not another - I understand how to use a ...
Computer Science - MATLAB - One interesting property of a Fibonacci sequence is ...
Computer Science - MATLAB - I guess it was skipped One interesting property of a...
Fibonacci Numbers - I posted the question several days ago and Mathmate helped ...
Math - Hey can you please explain Fibonacci numbers in the simplest way possible...
Pre-Cal - Recursive Sequences: find a formula for: 1,1,2,3,5,8,13,21 It looks ...
For Further Reading
