Ratios
Ratios[list] gives the successive ratios between consecutive elements: {e2/e1, e3/e2, ...}.
Examples
Compute ratios:
Ratios[{1, 2, 4, 8, 16}]
(* {2, 2, 2, 2} *)
Ratios[{1, 2, 6, 24, 120}]
(* {2, 3, 4, 5} *)
(* Detecting geometric sequences *)
Ratios[{3, 9, 27, 81}]
(* {3, 3, 3} *)Please visit the official Wolfram Language Reference for more details.