The problem defines a sequence $a_n$ as $a_n = (\frac{1}{4})^n + \frac{3n}{2}$. We need to find an expression for the nth term of the sequence.

1. Problem Description

The problem defines a sequence $a_n$ as $a_n = (\frac{1}{4})^n + \frac{3n}{2}$. We need to find an expression for the nth term of the sequence.

2. Solution Steps

The nth term of the sequence is given by the formula:

$a_n = (\frac{1}{4})^n + \frac{3n}{2}$

This formula directly gives the nth term of the sequence. There are no further simplifications or calculations needed to find the nth term.

3. Final Answer

$a_n = (\frac{1}{4})^n + \frac{3n}{2}$