find an explicit formula, Mathematics

Assignment Help:

(a) The generating function G(z) for a sequence gn is given by

G(z) = 1 - 2z/(1 + 3z)3

Give an explicit formula for gn.

(b) For the sequence gn in the previous part consider the sequence hn defined by hn = 2ng0 + 2n-1g1 + · · ·+gn for all n > 0. Give a closed formula for the generating function H(z) of the sequence hn.

(c) Hence find an explicit formula for hn.

 


Related Discussions:- find an explicit formula

Laplace transforms, As we saw in the previous section computing Laplace tra...

As we saw in the previous section computing Laplace transforms directly can be quite complex. Generally we just utilize a table of transforms when actually calculating Laplace tran

Describe the system with 3 variables, Describe the System with 3 Variables ...

Describe the System with 3 Variables ? This is an example of solving a system of equations using the substitution method. Warning: You will not understand this example if you

Speed, Town x and town y were 270km apart. a car started from town x toward...

Town x and town y were 270km apart. a car started from town x towards town y at a uniform speed of 60km/hr, while a motorcycle started from town y to town x at a uniform speed of 9

Derivative for parametric equations, Derivative for Parametric Equations ...

Derivative for Parametric Equations dx/dy = (dx/dt) / (dy/dt) ,         given dy/dt ≠ 0 Why would we wish to do this? Well, remind that in the arc length section of the Appl

Functions of limits, Following is some more common functions that are "nice...

Following is some more common functions that are "nice enough". Polynomials are nice enough for all x's. If f ( x) = p ( x ) /q (x ) then f(x) will be nice enough provid

What is the formula to know total area square shaped quilt, Cathy is formin...

Cathy is forming a quilt out of fabric panels that are 6 in through 6 in. She needs to know the total area of her square-shaped quilt. Which formula will she use? The area of a

What is uniform distribution, Q. What is Uniform Distribution? Ans. ...

Q. What is Uniform Distribution? Ans. A distribution is the set of possible values of a random variable considered in terms of their theoretical or observed frequency. Th

Find lim sup, 1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd a...

1.find lim sup Ek and liminf Ek of Ek=[(-(1/k),1] for k odd and liminf Ek=[(-1,(1/k)] for k even.  2.Show that the set E = {x in R^2 : x1, x2 in Q} is dense in R^2.  3.let r>0 an

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd