The formula for the $n$-th term of a geometric sequence is:
$a_n = a_1 \cdot r^{n-1}$ where:

• $a_1$ is the first term,
• $r$ is the common ratio,
• $n$ is the term number.

Given:

• $a_1 = 8$,
• $r = 7$,

The formula becomes: $a_n = 8 \cdot 7^{n-1}$

Final Answer:

$a_n = 8 \cdot 7^{n-1}$

Would you like me to verify this formula with specific terms or elaborate further?

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Related Questions:

1. What is the 5th term of the sequence?
2. How does the growth of a geometric sequence compare to an arithmetic sequence?
3. What is the sum of the first $n$ terms of this sequence?
4. How can you determine the common ratio if it’s not directly given?
5. What are real-world examples of geometric sequences?

Tip: Always ensure that $n$ starts from 1 when applying geometric sequence formulas unless stated otherwise!