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.