Question

Determine if the sequence is geometric. If it is find the common ratio. -1,6,-36,216,…

Answer 1

The series is given -1,6,-36,216......

For geometric sequences, the ratios between two adjacent terms have to be the same

`(6)/(-1)=-(36)/(6)=(216)/(-36)=-6`

Thus ratios are all the same, then it is a geometric sequence .

And the common ratio is -6.