First, we need to find the common ratio of this geometric sequence.
To do so, let's divide one term by the term before:
[tex]r=\frac{30}{-5}=-6[/tex]
Now, to find the 8th term of the sequence, let's use the explicit formula below, with the first term a1 = -5 the common ratio r = -6 and n = 8:
[tex]\begin{gathered} a_n=a_1\cdot r^{n-1}\\ \\ a_8=-5\cdot(-6)^7\\ \\ a_8=-5\cdot(-279936)\\ \\ a_8=1,399,680 \end{gathered}[/tex]
Therefore the correct option is the first one.
