Question

Determine 4th term in the geometric sequence whose first term is -2 and whose common ration is -5.

Answer 1

`a_(4)` = 250

Explanation:

To obtain any term in the geometric sequence multiply the previous term by the common ratio r

here r = - 5 and
`a_(1)` = - 2, hence

`a_(2)` = - 2 × - 5 = 10

`a_(3)` = 10 × - 5 = - 50

`a_(4)` = - 50 × - 5 = 250