Answer:
The 8th term in the sequence is -128
Step-by-step explanation:
The given series is a geometric progression (G.P) with the starting term as -1.
Let the starting term be a and the common ratio be r.
a = -1
r = 2
The formula for the nth term of a geometric progression (G.P) :
[tex]nth\:term=ar^{n-1}[/tex]
n = 8
[tex]The\:8th\:term=ar^{7}=(-1)\times2^{7}=-128[/tex]
Therefore, the 8th term in the sequence is -128