Write the first five terms of each sequence. \[ a_{n}=\frac{n+4}{n+2} \]

Step 1 ：The sequence is defined by the formula \(a_{n} = \frac{n+4}{n+2}\).

Step 2 ：To find the first five terms, we substitute the values of n from 1 to 5 into the formula.

Step 3 ：For n=1, \(a_{1} = \frac{1+4}{1+2} = 1.67\)

Step 4 ：For n=2, \(a_{2} = \frac{2+4}{2+2} = 1.5\)

Step 5 ：For n=3, \(a_{3} = \frac{3+4}{3+2} = 1.4\)

Step 6 ：For n=4, \(a_{4} = \frac{4+4}{4+2} = 1.33\)

Step 7 ：For n=5, \(a_{5} = \frac{5+4}{5+2} = 1.29\)

Step 8 ：Final Answer: The first five terms of the sequence are \(\boxed{1.67, 1.5, 1.4, 1.33, 1.29}\)