we are adding 4 each time
10+4 = -6
-6 + 4 = -2
-2+4 = 2
2+4 =6
6+4 = 10
10+4 = 14
14+ 4=18
The 7th term is 18
[tex]a_{7}[/tex] = 14
This is an arithmetic sequence with n th term
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1)d
where d is the common difference and [tex]a_{1}[/tex] the fist term
d = 2 - (- 2) = - 2 - (- 6) = - 6 - (- 10) = 4 and [tex]a_{1}[/tex] = - 10, hence
[tex]a_{7}[/tex] = - 10 + (6 × 4 ) = - 10 + 24 = 14
