Edexcel CP1 2024 June — Question 6

Exam BoardEdexcel
ModuleCP1 (Core Pure 1)
Year2024
SessionJune
TopicProof by induction
  1. Prove by induction that, for all positive integers \(n\),
$$\sum _ { r = 1 } ^ { n } ( 2 r - 1 ) ^ { 2 } = \frac { 1 } { 3 } n \left( 4 n ^ { 2 } - 1 \right)$$
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