Solve the recurrence relation \(a_n = 2a_{n-1} - a_{n-2}\text{.}\)
What is the solution if the initial terms are \(a_0 = 1\) and \(a_1 = 2\text{?}\)
What do the initial terms need to be in order for \(a_9 = 30\text{?}\)
For which \(x\) are there initial terms which make \(a_9 = x\text{?}\)