Question: Using the generalized binomial theorem, Show that - 1/2 (1/2 choose n 1)(-4)^(n 1)=1/(n 1) (2n choose n) Note. The above identity completes our proof

Using the generalized binomial theorem, Show that - 1/2 (1/2 choose n 1)(-4)^(n 1)=1/(n 1) (2n choose n) Note. The above identity completes our proof (done in class) that the number of binary trees with n vertices is equal to the nth Catalan number

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