QUESTION 8It can be shown that if the roots of a characteristic equation of a homogeneous linear recurrence relation of degree 2 are complex numbersa + bị and a - bị then the general solution of the recurrence relation is given byan=p"(k,cos(ne) + k2sin(ne)·If an= - 4an-1-8an-2with an = a, = 1, find the value of e in degrees.QUESTION 9Consider sequences of As, Bs, Cs and Ds of length 7. How many of these sequences contain each of these symbols at least once?QUESTION 10How many ways are there to arrange the letters in the "word" STARWARS so that the S's are not consecutive?all answers

Name: QUESTION 8It can be shown that if the roots of a characteristic equat
Uploaded: 2024-03-20T06:38:44.000Z
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Description: QUESTION 8It can be shown that if the roots of a characteristic equation of a homogeneous linear recurrence relation of degree 2 are complex numbersa + bị and a - bị then the general solution of the recurrence relation is given byan=p"(k,cos(ne) + k