Question

Determine whether the sequence is geometric. 160, 40, 10,2.5, ...

Answer 1

`\begin{gathered} (40)/(160)=(10)/(40)=(2.5)/(10) \\ \\ (1)/(4)=(1)/(4)=(1)/(4) \end{gathered}`

Since the ratio is constant through the sequence, we conclude that it is geometric sequence.