The given pattern continues. Write down the $n$th term of the sequence $\left\{a_{n}\right\}$ suggested by the pattern. \[ \frac{1}{14}, \frac{2}{15}, \frac{3}{16}, \frac{4}{17} \] \[ \left\{a_{n}\right\}=\{ \]

Step 1 ：Observe the given sequence: \(\frac{1}{14}, \frac{2}{15}, \frac{3}{16}, \frac{4}{17}\)

Step 2 ：Notice that the numerator is increasing by 1 each time, and the denominator is also increasing by 1 each time.

Step 3 ：This suggests that the nth term of the sequence could be \(\frac{n}{n+13}\).

Step 4 ：Final Answer: The nth term of the sequence \(\{a_{n}\}\) is \(\boxed{\frac{n}{n+13}}\)