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

- Math (fibonacci - A sequence of numbers is called a Fibonacci-type sequence if ...
- Fibonacci Numbers: Understand one part not another - I understand how to use a ...
- math - There is no function equation for the Fibonacci numbers, you have to use ...
- Fibonacci Numbers - I posted the question several days ago and Mathmate helped ...
- Pre-Calc - Find three examples of the Fibonacci sequence in nature. Write a ...
- Ficonacci puzzles - Take any Three consecutive fibonacci numbers: multiply the ...
- MATH - the numbers below are Fibonacci numbers. 1,1,2,3,5,8,13,21,34,55,... ...
- bole seniour school - construct flow chart for generating the nth fibonacci ...
- Math - What is the first common number among: palindromic numbers, Triangular ...
- Computer Science - MATLAB - One interesting property of a Fibonacci sequence is ...

More Related Questions