Edexcel F1 2023 January — Question 9

Exam BoardEdexcel
ModuleF1 (Further Pure Mathematics 1)
Year2023
SessionJanuary
TopicProof by induction
  1. Prove by induction that for all positive integers \(n\)
$$\sum _ { r = 1 } ^ { n } \log ( 2 r - 1 ) = \log \left( \frac { ( 2 n ) ! } { 2 ^ { n } n ! } \right)$$
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