Answer:
The answer is
-524288
Step-by-step explanation:
For an nth term in a geometric sequence
[tex]a(n) = a ({r})^{n - 1} [/tex]
where a is the first term
r is the common ratio
n is the number of terms
From the question
a = 2
r = - 8/2 = - 4
n = 10
So we have
[tex]a(10) = 2( - 4)^{10 - 1} [/tex]
[tex] = 2( - 4)^{9} [/tex]
We have the final answer as
-524288
Hope this helps you
