Build a function from context by determining an explicit formula, recursive rule, or calculation process.
Build a recursive arithmetic sequence model
Problem
A student saves \(\$20\) at first and adds \(\$5\) each week. Write a recursive arithmetic-sequence model.
Big Picture
What this problem is really about
A recursive arithmetic model needs two pieces: an initial term and a rule linking each later term to its predecessor. We’ll translate the first stated amount into the initial condition, attach the weekly change with the correct sign, and specify where the recurrence begins. Generating the next two terms checks both parts of the model.
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