# Fibonacci numbers

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

1. 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.

posted by bobpursley

## Similar Questions

1. ### Math (fibonacci

A sequence of numbers is called a Fibonacci-type 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
2. ### Fibonacci Numbers: Understand one part not another

I understand how to use a calculator to write the decimal point using the golden ratio which is 1.618034 and the conjugate is -.618034. I also know that the relationship between the decimal expansions is that everything to the
3. ### Fibonacci Numbers

I posted the question several days ago and Mathmate helped to guide me along. I am just unsure if I do not understand what he is saying or if I did complete the problem right. I would appreciate any input. 1.618034 - -.618034 =
4. ### 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
5. ### Math

F25= 75,025 and F26= 121,393 where Fn is the nth term in the Fibonacci sequence. Find F27. I do not understand the Fibonacci sequence, could someone help me with my question and explain it to me please.
6. ### math

There is no function equation for the Fibonacci numbers, you have to use a Recursion formula. F(n) = F(n-1) + F(n-2) for n>2 and F(1)=1, F(2)=1 what is the equation for the fibonacci sequence
7. ### bole seniour school

construct flow chart for generating the nth fibonacci serious using two seed numbers read from the user input two seed number lengthe of the fibonacci serious
8. ### Pre-Calc

Find three examples of the Fibonacci sequence in nature. Write a paragraph for each example. For each example, address the following questions: How does the example relate to the Fibonacci sequence? What portions of each item or
9. ### Maths

A super-Fibonacci 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 super-Fibonacci sequences with 1
10. ### Fibonacci Numbers

I need to find f24. I know F23=28657 and f25=75025. I have figured out that F24 is 46368 using F(n)=F(n-1)+F(n-2). My problme is asking me for two values of n for which Fn=n. I do not understand what it is asking.

More Similar Questions