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HLs sum of infinite Geometric Seq 1.11

Are there any geometric sequences that do not sum to infinity? In this investigation students work in groups, using their GDCs (spreadsheets and graphs) and any approaches they can think of to come up with evidence to decide if this is: "always", "sometimes" or "never" true. The below slides offer some "hints" to help students who get stuck, before introducing the "bouncing ball" problem with the aid of Daniel...

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