please explain as thoroughly as you can. And type if possible or use legible handwriting thank you

Let a_n = 3a_n-1 + 10a_n-2 with initial conditions a₁ = 29 and a₂ = 47.

1.Write the first 5 terms of the recurrence relation.

2. Solve this recurrence relation. Show your reasoning.

3.Using the explicit formula you found in part b, evaluate a₅. You must show that you are using the equation from part b.