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The function f(n) satisfies
binom(2n)n - binom(2n + 1)(2n) = f(n) *binom(2n + 1)(n + 1)
for all positive integers n. Find f(n).

 Jan 12, 2023
 #1
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So if you plug in 1 as n, since it can be any positive integer, it simplifies to:

 

1=f(1)(2)

 

Which comes out to 1/2. 

 

Hope this helps!

 Apr 9, 2023
edited by Melody  Apr 10, 2023

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