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The sequence is defined by the formula:

\[
a_n = -2n + 9
\]

We need to find the first four terms, starting with \( n = 1 \).

1. For \( n = 1 \):
\[
a_1 = -2(1) + 9 = -2 + 9 = 7
\]

2. For \( n = 2 \):
\[
a_2 = -2(2) + 9 = -4 + 9 = 5
\]

3. For \( n = 3 \):
\[
a_3 = -2(3) + 9 = -6 + 9 = 3
\]

4. For \( n = 4 \):
\[
a_4 = -2(4) + 9 = -8 + 9 = 1
\]

Thus, the first four terms of the sequence are: 
\[
\boxed{7}, \boxed{5}, \boxed{3}, \boxed{1}
\]

Would you like any additional explanations or details? 

Here are 5 related questions to deepen your understanding:
1. What happens to the sequence if we extend it to \( n = 5 \) or beyond?
2. How would the sequence change if the formula were \( a_n = -3n + 9 \)?
3. Can you find a general pattern for the sequence when \( n \) is any positive integer?
4. How would the sequence look if we started with \( n = 0 \) instead of \( n = 1 \)?
5. What type of sequence is represented by this formula, and how does it differ from geometric sequences?

**Tip:** A sequence that decreases by the same amount each time, like this one, is known as an *arithmetic sequence*.

Find the first four terms of the sequence defined below, where n represents the position of a term in the sequence. Start with n = 1. a_n = -2n + 9

Learn how to find the first four terms of the arithmetic sequence defined by the formula a_n = -2n + 9. This example covers basic concepts in sequences and linear equations, suitable for students in Grades 6-8.

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