Distinguish linear from exponential situations by equal differences versus equal factors over equal intervals.
Connect sequence type to model type
Problem
Classify the sequence \(5,~9,~13,~17\) as arithmetic or geometric and connect it to a model type.
Big Picture
What this problem is really about
Sequences connect to function models through the kind of change between consecutive terms. We’ll test subtraction for a repeated amount and division for a repeated factor, then link the surviving pattern to its discrete model family. An indexed rule will provide a final check by reproducing every displayed term.
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