Reducing Factorials: Is the Answer 1/[2n*2n+1]?

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Homework Help Overview

The discussion revolves around simplifying the expression (2n-1)!/(2n+1)!, which involves factorials and their reduction. The subject area includes combinatorial mathematics and algebraic manipulation of factorials.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • The original poster attempts to simplify the factorial expression and questions whether the result is 1/[2n*2n+1]. Other participants engage by suggesting improvements in notation and clarity.

Discussion Status

Some participants have offered interpretations of the expression and provided feedback on the original poster's notation. There is a mix of agreement and suggestions for clarity, but no definitive consensus has been reached regarding the simplification.

Contextual Notes

The discussion includes considerations about the clarity of mathematical expressions and the potential for misinterpretation in notation. There are no explicit constraints mentioned regarding homework rules or additional information needed.

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Homework Statement


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


Homework Equations





The Attempt at a Solution



...2n-2*2n-1
------------ (pretend that's a divider)
...2n-2*2n-1*2n*2n+1

Is the answer 1/[2n*2n+1]?
 
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It sure is.
 
But it would look better with an additional pair of parentheses:
1/[2n(2n+1)]. I would have been inclined to interpret what you have as
1/(2n2+1).
 
Thanks :)
 

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