The given formula for the nth term of a sequence is:

\[
T_n = 8n + 3
\]

This is a linear expression where \( n \) represents the position of the term in the sequence. To find the nth term for any given \( n \), simply substitute the value of \( n \) into the formula.

For example:

- If \( n = 1 \): \( T_1 = 8(1) + 3 = 8 + 3 = 11 \)
- If \( n = 2 \): \( T_2 = 8(2) + 3 = 16 + 3 = 19 \)
- If \( n = 3 \): \( T_3 = 8(3) + 3 = 24 + 3 = 27 \)

Thus, for any term \( T_n \), the nth term can be calculated using the formula \( T_n = 8n + 3 \).

Would you like to explore more examples or have any further questions?

Here are 5 related questions to consider:
1. What is the 5th term of the sequence using \( T_n = 8n + 3 \)?
2. How can you derive a formula for a different arithmetic sequence?
3. Can this sequence be represented graphically? How would the graph look?
4. What is the sum of the first \( n \) terms of this sequence?
5. How would you identify whether a sequence is arithmetic?

**Tip**: In an arithmetic sequence, the common difference between terms is constant.

Learn how to find the nth term of the arithmetic sequence using the formula Tn = 8n + 3. This problem explains the steps involved in solving for any term in the sequence, with examples for n=1, n=2, and n=3. Ideal for students in Grades 6-8.

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