Construct linear and exponential functions, including arithmetic/geometric sequences, from graphs, descriptions, or input-output pairs.
Construct an explicit arithmetic sequence rule
Problem
Construct the explicit arithmetic-sequence rule when row \(1\) has \(12~\text{seats}\) and each next row has \(3~\text{more}~\text{seats}\).
Big Picture
What this problem is really about
An explicit arithmetic rule starts from the first term and counts how many equal additions are needed to reach term n. We’ll identify the starting value and signed common difference, then use n minus one because the first term requires no update. Evaluating the first two indices will confirm both the starting alignment and the constant increase.
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