Wolfram Language & System 11.0 (2016)|Legacy Documentation

This is documentation for an earlier version of the Wolfram Language.View current documentation (Version 11.2)


gives the successive ratios of elements in list.

gives the n^(th) iterated ratios of list.

gives the successive nk^(th) ratios at level k in a nested list.


  • Ratios divides successive elements by preceding ones, so that Ratios[{x1,x2}] gives {x2/x1}.
  • If list has length s, Ratios[list,n] has length s-n.
  • Ratios[m,{1,0}] or Ratios[m,1] finds the successive ratios of rows in a 2D array or matrix m. Ratios[m,{0,1}] finds the ratios of columns.
  • Ratios[list,{n1,n2}] is equivalent to Ratios[Ratios[list,n1],{0,n2}].
Introduced in 2008