The first term of the sequence is [tex] a_{1} = -7[/tex] .
The sequences is recursive, every next term of the sequence is obtained by multiplying the previous term by 2.
So, we can find the next 6 terms as shown below:
[tex] a_{2} = 2*a_{1}=2(-7)=-14[/tex]
[tex] a_{3} = 2(-14)=-28[/tex]
[tex] a_{4} = 2(-28)=-56[/tex]
[tex] a_{5} = 2(-56)=-112[/tex]
[tex] a_{6} = 2(-112)=-224[/tex]
[tex] a_{7} = 2(-224)=-448[/tex]
