Solve the recurrence relation using the generating function technique. b0=1/2 bn=3bn-1 - 1/2 for n greater than or equal to 1.

For a recurrence equation given as: an 7an-1-10an-2 for n > 1; a0 = 2; a1 = 1 = Identify the exact type of recurrence. linear homogeneous nonlinear homogeneous with constant coefficients linear non-homogeneous with constant coefficients linear homogeneous with constant coefficients

Consider a population that grows according to the recursive rule Pn = Pn-1 + 40, with initial population Po = 20. Then: P₁ = P₂= Find an explicit formula for the population. Your formula should involve n (use lowercase n) Pn = Use your explicit formula to find P100 P100 =