To find a formula for the nth term of a geometric sequence, let’s break it down into simpler parts:

1. First Term ((a)): This is the starting number in the sequence.

2. Common Ratio ((r)): This is the number you multiply by to get from one term to the next.

The formula for the nth term ((T_n)) looks like this:

$$T_n = a \cdot r^{(n-1)}$$

• In this formula, (n) stands for the term number you want to find.

• You take the first term, (a), and multiply it by the common ratio, (r), raised to the power of (n-1).

• We use (n-1) because we start counting from the first term.

This formula lets you find any term in the sequence without having to list all the previous ones!