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The image asks:

**"What is the n-th term of an arithmetic sequence whose common difference is -2 and with first term 7?"**

To solve this, use the formula for the n-th term of an arithmetic sequence:

\[
a_n = a_1 + (n-1) \cdot d
\]

Where:
- \( a_n \) is the n-th term,
- \( a_1 \) is the first term (7 in this case),
- \( d \) is the common difference (-2 in this case),
- \( n \) is the term number.

Substituting the given values:

\[
a_n = 7 + (n-1) \cdot (-2)
\]

Simplifying:

\[
a_n = 7 - 2(n - 1)
\]
\[
a_n = 7 - 2n + 2
\]
\[
a_n = 9 - 2n
\]

Thus, the n-th term of the arithmetic sequence is:

\[
a_n = 9 - 2n
\]

Let me know if you want more details or have any questions!

Here are 5 related questions for deeper understanding:
1. How would the formula change if the common difference were positive?
2. What is the 10th term of this sequence?
3. How can you find the sum of the first \( n \) terms of this sequence?
4. What is the first negative term in this arithmetic sequence?
5. How do you identify if a sequence is arithmetic based on its terms?

**Tip:** In an arithmetic sequence, the difference between consecutive terms remains constant, making it easy to calculate any term.

What is the n-th term of an arithmetic sequence whose common difference is -2 and with first term 7?

Learn how to find the n-th term of an arithmetic sequence with a common difference of -2 and a first term of 7. This problem covers key algebraic concepts suitable for Grades 7-9.

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