QUESTION 8 It can be shown that if the roots of a characteristic equation of a homogeneous linear recurrence relation of degree 2 are complex numbers a + bị and a - bị then the general solution of the...

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