Question: Show that the general solution of the recurrence relation may be expressed in the form Xn+2= 6xn+1 - 25xn

Show that the general solution of the recurrence relation

Xn+2= 6xn+1 - 25xn

may be expressed in the form

x = 5" (A cos no + B sin no) where is such that sin0 = and cos 0: =3.

Xn+2= 6xn+1 - 25xn

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