Fibonacci numbers

posted by .

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
2. Writing the last equation in the Fibonacci
This is the one I am completely lost on
3. Choose any term of the Lucas sequence other than the first and square it
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
9x1=3 9x4=36
16x3= 48 16x7=112
49x4=196 49x11=539
I do not know if this is correct or how to write a conjecture with the results. Appreciate all help

  • Fibonacci numbers -


    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.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. 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
  2. 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
  3. 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?
  4. 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?
  5. 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 …
  6. 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 …
  7. 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 …
  8. 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?
  9. 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 …
  10. Math

    What is the first common number among: palindromic numbers, Triangular numbers and Fibonacci numbers?

More Similar Questions