Find a formula for the nthterm of the sequence**:
(a) \l{3, 3, 3, 3, 3, ...}

The sequence given is \( \{3, 3, 3, 3, 3, \dots\} \), where every term in the sequence is 3. 

This is a constant sequence, where each term is the same. The formula for the \( n \)-th term of such a sequence is simply:

\[
a_n = 3
\]

So, the formula for the \( n \)-th term of the sequence is \( a_n = 3 \).

Would you like further details or have any questions?

Here are 5 related questions for further exploration:

1. What is the sum of the first \( n \) terms of this sequence?
2. How does the formula change if the sequence had all terms equal to a different constant?
3. What is the general form of a constant sequence?
4. How would you represent a sequence where each term is a different constant?
5. Can a constant sequence be considered an arithmetic sequence?

**Tip:** Constant sequences are the simplest type of sequences in mathematics, often serving as a good introduction to more complex patterns.

Discover how to find the formula for the nth term of a constant sequence where every term is 3. Learn about constant sequences in mathematics and how to derive the formula a_n = 3. Suitable for students in Grades 6-8.

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