To determine the function of an arithmetic sequence, you need two key pieces of information: the first term of the sequence (let's call it \( a_1 \)) and the common difference (let's call it \( d \)), which is the difference between consecutive terms.
The general formula for the \( n \)-th term of an arithmetic sequence can be expressed as:
\[ a_n = a_1 + (n - 1) \cdot d \]
Where:
- \( a_n \) is the \( n \)-th term
- \( a_1 \) is the first term
- \( d \) is the common difference
- \( n \) is the term number
If you provide the specific values for the first term and the common difference from your graph, I can help you write the exact function of the arithmetic sequence.