do fast step by step 4. [8 marks] Consider the following relationship:Tn+1=3Tn - (Tn-1);T₁ = 1, T₁ = 1.(a) Write a procedure that computes the nth term of the above sequence.(b) Create a list Ly that contains the elements from To through Tg. Create another list calledLx that is the same length as Ly and contains the numbers 0,1,2,3,4, etc.(c) Plot the points in Lx against Ly (i.e. use the Lx values as the x-coordinates etc). Useappropriate symbols etc in your plot.

First, define a function to compute the nᵗʰ term of the sequence using the given relationship. Then,…

Answered: 4. [8 marks] Consider the following…

Understanding Business

12th Edition

ISBN:9781259929434

Author:William Nickels

Publisher:William Nickels

Chapter1: Taking Risks And Making Profits Within The Dynamic Business Environment

Section: Chapter Questions

Problem 1CE

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Show that Jσ_(ij)D_(ij)=T_(iL)F_(iL˙)=S(AB)E_(AB˙) [Hints: (a) to prove the first equation, use the relationship between F_(iL)˙ and L_(ij), and expand L_(ij) into symmetric and antisymmetric parts. Note the symmetry of σ_(ij). (b) To prove the second equation, first express E_(AB)˙ using F_(iL), then take the time derivative. Substitute into the definition of S_(AB )in index form and simplify.]
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416 A=[-4 0-7]. 00-3 Determine the multiplicity of each eigenvalur and a basis for each eigenspace of the given matrix a. Hence determine the dinension of each eigenspace and state whether the matrix is defective or nondefective
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