Sure! Here's a geometric sequence problem for you:

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Problem:

Consider a geometric sequence where the first term $a_1 = 3$, and the common ratio $r = 2$.

1. Find the 6th term of the sequence.
2. Find the sum of the first 6 terms of the sequence.

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Would you like a detailed solution for this problem, or do you have any questions?

Here are 5 related questions to expand on this:

1. How do you derive the general formula for the $n$-th term of a geometric sequence?
2. What happens to the sequence if the common ratio is less than 1?
3. How do you find the sum of an infinite geometric sequence?
4. Can you find the common ratio if you're given two non-consecutive terms?
5. How does a geometric sequence differ from an arithmetic sequence?

Tip: In geometric sequences, the terms grow (or shrink) exponentially, depending on whether the common ratio is greater or less than 1.