Answer: - 5120
Step-by-step explanation:
The first thing is to find the common ratio , since it is a geometric sequence.
common ratio ( r ) = second term / first term
r = -10/-5
r = 2
Using the formula for the nth term of a geometric sequence ;
[tex]t_{n}[/tex] = a[tex]r^{n-1}[/tex]
The 11th term will thus be:
[tex]t_{11}[/tex] = -5 X [tex]2^{10}[/tex]
= -5 x 1024
= -5120
