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The entries in a certain row of Pascal's triangle are
\[1, n, \dots, n, 1.\]
The average of the entries in this row is 2. Find $n$.

 
 Sep 20, 2024
 #1
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The entries in a certain row of Pascal's triangle ...     

The average of the entries in this row is 2. Find n.   

 

The fourth row will do it, 1 3 3 1.  The average is 2.     n = 3   

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 Sep 20, 2024

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