+0  
 
0
72
1
avatar+35 

For a positive integer $n,$ the rational number $r$ satisfies

\[\binom{2n}{n} - \binom{2n}{n + 1} = r \cdot \binom{2n}{n}.\]

Express $r$ in terms of $n.$ (Your expression should be as simplified as possible.)

 May 4, 2023
 #1
avatar
0

r = 2/n.

 May 4, 2023

2 Online Users

avatar