Build a function from context by determining an explicit formula, recursive rule, or calculation process.
Build an explicit arithmetic sequence model
Problem
Row \(1\) has \(10\) seats, and each next row has \(4\) more seats. Write an explicit arithmetic-sequence model.
Big Picture
What this problem is really about
An explicit arithmetic rule starts with the first term and adds one common difference for every transition after it. We’ll define the indexed output, identify the starting count and signed change, and count how many transitions lead from the first index to a general index. Substituting the first two indices checks the crucial one-less-than-the-index factor.
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