Question

Find the 7th term of the geometric sequence with the given terms.

a4 = -8 and a5 = -40; a7 = _______.

Answer 1

The common ratio is the fifth term divided by the fourth term: -40/-8 = 5.
The seventh term is :
$a_{7}=a_{5}\times5\times5=-40\times5\times5=-1000$