gives the successive ratios of elements in list.

Ratios[list, n]
gives the n^(th) iterated ratios of list.

Ratios[list, {n1, n2, ...}]
gives the successive ^(th) ratios at level k in a nested list.


  • Ratios divides successive elements by preceding ones, so that Ratios[{x1, x2}] gives .
  • If list has length s, Ratios[list, n] has length .
  • 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}].
New in 7
New to Mathematica? Find your learning path »
Have a question? Ask support »