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Predicting the next shape in a geometric pattern involves using induction because it relies on recognizing a consistent rule or trend within the existing shapes. By observing the sequence and identifying how each shape relates to the previous ones, one can infer a general principle that applies to the entire pattern. This process mirrors mathematical induction, where one establishes a base case and then shows that if the statement holds for one case, it must hold for the next, allowing for predictions about future shapes based on established patterns.

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