Find out the largest term of the sequence `(1)/(503),(4)/(524),(9)/(581),(16)/(692),"...."`.

Explanation

To find the largest term of the sequence given by \( \frac{1}{503}, \frac{4}{524}, \frac{9}{581}, \frac{16}{692}, \ldots \), we can follow these steps:

### Step 1: Identify the General Term
The sequence can be expressed in terms of a general term \( T_r \):
\[ T_r = \frac{r^2}{500 + 3r^3} \]
where \( r \) is the term number (1, 2, 3, ...).
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