Write arithmetic and geometric sequences explicitly and recursively; translate between forms and model situations.
Write a recursive arithmetic sequence rule from terms
Problem
Write a recursive arithmetic-sequence rule for the terms \(5,~8,~11,~14\).
Big Picture
What this problem is really about
A recursive arithmetic rule needs both a starting term and a constant additive update. We’ll record the first listed value, compute every consecutive difference to verify that one change repeats, and express each later term using its immediate predecessor. Regenerating the displayed terms checks the sign, step size, and required starting condition.
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