Answer
$-7,-3,1,5,9,13$
Work Step by Step
Formula to calculate the nth term of an arithmetic sequence is: $a_n=a_1+d(n-1)$
Here, $a_1: $ First term and $d=$ common difference
Since, we have $a_1=-7$
Use a recursion formula to find the remaining five terms.
Then $a_2=a_1+4=-7+4=-3;\\a_3=a_2+4=-3+4=1;\\a_4=a_3+4=1+4=5;\\a_5=a_4+4=5+4=9;\\a_6=a_5+4=9+4=13$
Hence, the first six terms are: $-7,-3,1,5,9,13$