Write down the first five terms of the sequence. \[ \left\{\frac{n}{n+1}\right\} \] Type the first five terms of the sequence $\left\{a_{n}\right\}=\left\{\frac{n}{n+1}\right\}$. Assume $n \geq 1$. $a_{1}=\square$ (Simplify your answer.)

Step 1 ：The sequence is defined as \( \frac{n}{n+1} \).

Step 2 ：To find the first five terms, we need to substitute \( n \) with 1, 2, 3, 4, and 5 respectively.

Step 3 ：The first term is \( \frac{1}{1+1} = 0.5 \).

Step 4 ：The second term is \( \frac{2}{2+1} = 0.6666666666666666 \).

Step 5 ：The third term is \( \frac{3}{3+1} = 0.75 \).

Step 6 ：The fourth term is \( \frac{4}{4+1} = 0.8 \).

Step 7 ：The fifth term is \( \frac{5}{5+1} = 0.8333333333333334 \).

Step 8 ：Final Answer: The first five terms of the sequence are \( \boxed{0.5} \), \( \boxed{0.6666666666666666} \), \( \boxed{0.75} \), \( \boxed{0.8} \), and \( \boxed{0.8333333333333334} \).