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Popular >

simplify ((2n)!)/((2n+1)!)

Solution

simplify

\frac{( 2 n ) !}{( 2 n + 1 ) !}

Solution

\frac{1}{2 n + 1}

Solution steps

\frac{( 2 n ) !}{( 2 n + 1 ) !}

Cancel the factorials:

\frac{n !}{( n + m ) !} = \frac{1}{( n + 1 ) \cdot ( n + 2 ) \dots ( n + m )}

\frac{( 2 n ) !}{( 2 n + 1 ) !} = \frac{1}{( 2 n + 1 )}

= \frac{1}{2 n + 1}

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Frequently Asked Questions (FAQ)

What is ((2n)!)/((2n+1)!) ?
The solution to ((2n)!)/((2n+1)!) is 1/(2n+1)