Calculus Recurence

Question

Find the solution to the recurrence relation an = 2an−1+3an−2 with initial terms a0 = 3 and a1 = 4

Answer 1

The general solution is a_{n =} A*3ⁿ + B(-1)ⁿ because the characteristic equation is r²-2r-3.

You should be able to evaluate A and B from the initial conditions.