Question

Determine 6th term in the geometric sequence who first term is 3 and whose common ratio is -4

Answer 1

`a_(6)` = - 3072

The n th term of a geometric sequence is

`a_(n)` =
`a_(1)`
`r^(n-1)`

where
`a_(1)` is the first term and r the common ratio, hence

`a_(6)` = 3 ×
`(-4)^(5)` = 3 × - 1024 = - 3072