Solve the recurrence relation an = −3an−1 given that a0 = 1.

Solve the linear recurrence relation (find a formula for x k in terms of k ): Xx+2 = 2xx – Xk+1 Where x o = 1 and x 1= 2. You must use the eigen values to get the credit.

Solve the recurrence relation, given: • ao = 3 • a₁ = 4 . • an = 5an-1-6an-2 Remember: • The theorem is an = c₁an-1 + c₂an-2. -b± √b² - 4ac 2a • The quadratic formula is O a O b Oc Od an = 5(4)" -2(3)" an = 5(2)"-2(3)" an = 5(2)"+2(3)" an = 5(3)" -2(3)"

Starting from 15 milligrams, the body eliminates 10% of certain drug each hour. Suppose that 40 milligrams are given every hours, starting from the first hour. Let xn denotes the amount of drug after n hours. 1. xn+1=a xn + b, what are a and b based on the things from the questions?  a= b= 2. x0= 3. The general solution for this recurrence is  xn= c (an) + b (an-1/a-1)  what will be c in this scenario? c=