Question: Prove by induction the identity ((n + 1) (n + 2) . . . (2n 1) 2n)/ (1 3 5 . . . (2n 1))

Prove by induction the identity ((n + 1) (n + 2) . . . (2n 1) 2n)/ (1 3 5 . . . (2n 1)) = 2^n for any natural n.

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