a 
n
​
 =( 
5+3n
​
 
1+3n
​
 
​
 ) 
2n−1
n 
2
 
​


It seems like the equation might have some formatting issues. I'll interpret it based on what I can see. 

Is your expression:

\[
a_n = \left( \frac{5 + 3n}{1 + 3n} \right)^{2n - \frac{1}{n^2}}
\]

If this isn't correct, could you please clarify or upload an image for precise formatting?

a_n = ( (5 + 3n) / (1 + 3n) )^(2n - 1/n^2)

Explore the solution for the sequence expression a_n = ((5 + 3n) / (1 + 3n))^(2n - 1/n^2). This problem covers key concepts in sequences, exponential expressions, and rational expressions, making it suitable for high school students in Grades 10-12.

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