1. Let's start by understanding what a sequence is. A sequence is an ordered list of numbers following a specific pattern. 2. For example, the sequence $2, 4, 6, 8, \dots$ increases by 2 each time. This is called an arithmetic sequence. 3. The formula for the $n$th term of an arithmetic sequence is: $$a_n = a_1 + (n-1)d$$ where $a_1$ is the first term and $d$ is the common difference. 4. Now, algebra involves working with variables and expressions to solve equations. 5. A basic algebraic equation looks like this: $$ax + b = c$$ where $a$, $b$, and $c$ are constants, and $x$ is the variable. 6. To solve for $x$, you isolate it by performing inverse operations: $$x = \frac{c - b}{a}$$ 7. Let's combine these ideas: if you have a sequence defined by an algebraic formula, you can find any term by substituting $n$ into the formula. 8. For example, find the 5th term of the sequence $a_n = 3n + 1$: $$a_5 = 3(5) + 1 = 15 + 1 = 16$$ 9. Practice these concepts by identifying patterns in sequences and solving simple algebraic equations. Good luck on your finals!