Question

The numbers​ x, y, and z are in a​ Fibonacci-type sequence. If z equals x+​y, use...

The numbers​ x, y, and z are in a​ Fibonacci-type sequence. If z equals x+​y, use deductive reasoning to find all triples​ x, y, and z that make an arithmetic sequence as well as consecutive terms in a​ Fibonacci-type sequence. Assume that​ x, y, and z are the first 3 ordered terms in a​ Fibonacci-type sequence and in an arithmetic. sequence.

The difference between the first two terms in the sequence is...?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

(as they are in a Fibonacci type sequence)

Also, as they are in an arithmetic sequence, we must have (their difference is constant)

So that

Substituting in we get

And so we have

Therefore, we have

The difference between the first two terms in the sequence is (the first term itself)

Hope this was helpful. Please do leave a positive rating if you liked this answer. Thanks and have a good day!

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Written in MASM Assembly Problem Definition: Write a program to calculate Fibonacci numbers. • Display the...
Written in MASM Assembly Problem Definition: Write a program to calculate Fibonacci numbers. • Display the program title and programmer’s name. Then get the user’s name, and greet the user. • Prompt the user to enter the number of Fibonacci terms to be displayed. Advise the user to enter an integer in the range [1 .. 46]. • Get and validate the user input (n). • Calculate and display all of the Fibonacci numbers up to and including the nth...
Consider two events. Give an example of coordinates x,y,z,t and x’,y’,z’,t’ and relative velocity of the...
Consider two events. Give an example of coordinates x,y,z,t and x’,y’,z’,t’ and relative velocity of the two frames u, such that event 1 occurs first in the unprimed reference frame, but event 2 occurs first in the primed reference frame. The example must use special relativity and show it works using numbers not just concept
STAT 180 Let X and Y be independent exponential random variables with mean equals to 4....
STAT 180 Let X and Y be independent exponential random variables with mean equals to 4. 1) What is the covariance between XY and X. 2) Let Z = max ( X, Y). Find the Probability Density Function (PDF) of Z. 3) Use the answer in part 2 to compute the E(Z).
Bordered Hessian element The Lagrangian is L=ln(x+y^2) -z^3/(3*y) -x*y +λ*(x*z +3*x^2*y -r), where r is a...
Bordered Hessian element The Lagrangian is L=ln(x+y^2) -z^3/(3*y) -x*y +λ*(x*z +3*x^2*y -r), where r is a parameter (a known real number). Here, ln denotes the natural logarithm, ^ power, * multiplication, / division, + addition, - subtraction. The border is at the top and left of the Hessian. The variables are ordered λ,x,y,z. Find the last element in the second row of the bordered Hessian at the point (λ,x,y,z) =(0.11, 0, 2440, 0.01167). This point need not be stationary and...
Compute the surface integral of f(x,y,z)=x^2 over z=sqrt(x^2+y^2), 0<=z<=1. Write answer as simply as possible. Note...
Compute the surface integral of f(x,y,z)=x^2 over z=sqrt(x^2+y^2), 0<=z<=1. Write answer as simply as possible. Note that this is 8 points and you have two attempts. ex) 5 π 2 write 5sqrt(pi)/2 Don't use any spaces and put in the conventional order, numbers outside square root first. Rationalize denominators. Use * for multiplication if necessary.
Let X and Y be independent positive random variables. Let Z=X/Y. In what follows, all occurrences...
Let X and Y be independent positive random variables. Let Z=X/Y. In what follows, all occurrences of x, y, z are assumed to be positive numbers. 1. Suppose that X and Y are discrete, with known PMFs, pX and pY. Then, pZ|Y(z|y)=pX(?). What is the argument in the place of the question mark? 2. Suppose that X and Y are continuous, with known PDFs, fX and fY. Provide a formula, analogous to the one in part (a), for fZ|Y(z|y) in...
Flowing through all space is an electric field E(x, y, z) = αyz(x hat) + αxz(y...
Flowing through all space is an electric field E(x, y, z) = αyz(x hat) + αxz(y hat) + αxy(z hat). Show that the curl of the electric field vanishes, ∇ × E = 0. Use the definition of electric potential to find the potential difference between the origin and r = x(x hat) + y(y hat) + z(z hat), V (r) − V (0) = −(integral from 0 to r of (E · dl)). As the line integral is independent...
Use the Chain Rule to find ∂z/∂s and ∂z/∂t. (Enter your answer only in terms of...
Use the Chain Rule to find ∂z/∂s and ∂z/∂t. (Enter your answer only in terms of s and t. Please use * for multiplication between all factors.) z = x2y3, x = s cos(t), y = s sin(t)
Consider the folllowing preference profile. Is there a Condorcert Winner? 1 2 3 x y z...
Consider the folllowing preference profile. Is there a Condorcert Winner? 1 2 3 x y z y z x z x y Now assume that z is the status quo. An agenda setter decided that a first round should take place when voters choose between two amendments x and y. A final vote will then take place between z and the winner of the first round. Which option will be selected by using this procedure? Has any of the 3...
Use the Chain Rule to find ∂z/∂s and ∂z/∂t. (Enter your answer only in terms of...
Use the Chain Rule to find ∂z/∂s and ∂z/∂t. (Enter your answer only in terms of s and t. Please use * for multiplication between all factors.) z = x4y9, x = s cos(t), y = s sin(t) ∂z/∂s = ∂z/∂t =
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT