Fibonacci numbers
posted by Jennifer
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=21
1+1=31
1+1+2=51
1+1+2+3=81
1+1+2+3+5=131
**1+1+2+3+5+8=211
*************************
1=1^2
11=1^2
12+5=2^4
12+513=3^2
12+513+34=5^2
**12+513+3489=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
363=33
*************************
4^2=16
16x3= 48 16x7=112
11248=64
*************************
7^2=49
49x4=196 49x11=539
539196=343
*************************
I do not know if this is correct or how to write a conjecture with the results. Appreciate all help

bobpursley
1,3,4,7,11,18,29,47,76,123
Pick number: 4, square it 16
then 3x7=21, 2116=5
Pick number: 11, square it 121
then 7x18=126, 126121= 5
pick number 47: square it 2209
then 29x76=2204, 22092204= 5
first two are correct.
Respond to this Question
Similar Questions

math
There is no function equation for the Fibonacci numbers, you have to use a Recursion formula. F(n) = F(n1) + F(n2) for n>2 and F(1)=1, F(2)=1 what is the equation for the fibonacci sequence 
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 
MATH
the numbers below are Fibonacci numbers. 1,1,2,3,5,8,13,21,34,55,... write a rule for the pattern. what are the next three numbers? 
PreCalc
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? 
Fibonacci Numbers
This is not a test question, but I did not know what the appropriate topic for my question is. If I used the terms 2, 3, 4, 8 consecutive terms of the Fibonacci sequence. "a" is the first and fourth terms and "b" is twice the product … 
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 right … 
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 = 2.236068/sqrt … 
Ficonacci puzzles
Take any Three consecutive fibonacci numbers: multiply the outer Two numbers, Squre the inner one. Do this At Least 6 times. What conjecture can you make? 
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 … 
Math
What is the first common number among: palindromic numbers, Triangular numbers and Fibonacci numbers?