Unit 15 Investigation

State the defining idea behind sequences as discrete functions in one precise sentence.

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For “Recover $a_1$ from a later term.”, identify the governing definition or relationship and what a complete conclusion must include.

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How should “Term plot approaching a fixed point” make the governing relationship in “Find a fixed point of a recurrence.” visible?

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Solve this finite geometric series problem and state the final result: A ball rebounds to $70\%$ of its previous height. Starting from $10$ meters, find the total upward distance over the first $8$ rebounds.

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What mathematical structure is shared by the opening problem and “Prove divisibility by induction.”?

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