Write the first six terms of the arithmetic sequence shown below.
\[
a_{n}=a_{n-1}+4, a_{1}=-6
\]
\[
a_{1}=
\]
\[
a_{2}=
\]
\[
a_{3}=
\]
\[
a_{4}=
\]
\[
a_{5}=
\]
\[
a_{6}=
\]

Step 1 ：The problem is asking for the first six terms of an arithmetic sequence. An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. This difference is also known as the common difference. In this case, the common difference is 4. The first term of the sequence, \(a_{1}\), is given as -6.

Step 2 ：To find the subsequent terms, we can use the formula for the nth term of an arithmetic sequence, which is \(a_{n} = a_{n-1} + d\), where d is the common difference.

Step 3 ：So, to find the first six terms, we can start with \(a_{1} = -6\) and then add 4 to find each subsequent term.

Step 4 ：Using this method, we find that the first six terms of the sequence are -6, -2, 2, 6, 10, 14.

Step 5 ：Final Answer: The first six terms of the arithmetic sequence are \(\boxed{-6, -2, 2, 6, 10, 14}\).