Find the solution to the recurrence relation with the given initial condition. Use an iterative approach such as that used in Example 10.

a_n = 2a_n-1 - 3, a₀ = -1

used to solve many difierenticcun Solve the recurrence relation and initial condition in Example 5. EXAMPLE 10 Solution: We can successively apply the recurrence relation in Example 5, starting with initial condition a 2, and working upward until we reach a, to deduce a closed formula t the sequence. We see that the a for a2 = 2+3 (2 +3) + 3 2+3.2 a4 (2+2.3)+3-2+3.3 a-I +3(2+3 (n 2)) +3 2 + 3(n - 1)