> 
> Solve this recurrence relation by generating its direct
>  formula: $$a\_n = 3a\_{n-1} + 2n, a\_0 = 1$$
>  Using the direct formula find the
>  $10th$ term of this recurrence relation. 
> 
> 
> 

My answer:

$a\_{10} = 147601$ [![Reasoning:](https://i.stack.imgur.com/Ul2UH.jpg)](https://i.stack.imgur.com/Ul2UH.jpg)

Is this correct?