OCR MEI FP1 2006 June — Question 6

Exam BoardOCR MEI
ModuleFP1 (Further Pure Mathematics 1)
Year2006
SessionJune
TopicProof by induction
6 Prove by induction that \(3 + 6 + 12 + \ldots + 3 \times 2 ^ { n - 1 } = 3 \left( 2 ^ { n } - 1 \right)\) for all positive integers \(n\).
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