diff --git a/pandas/core/frame.py b/pandas/core/frame.py
index b96af6af3707f..b25dbe4fac6da 100644
--- a/pandas/core/frame.py
+++ b/pandas/core/frame.py
@@ -251,11 +251,11 @@ class DataFrame(NDFrame):
     data : numpy ndarray (structured or homogeneous), dict, or DataFrame
         Dict can contain Series, arrays, constants, or list-like objects
     index : Index or array-like
-        Index to use for resulting frame. Will default to np.arange(n) if
+        Index to use for resulting frame. Will default to RangeIndex if
         no indexing information part of input data and no index provided
     columns : Index or array-like
         Column labels to use for resulting frame. Will default to
-        np.arange(n) if no column labels are provided
+        RangeIndex (0, 1, 2, ..., n) if no column labels are provided
     dtype : dtype, default None
         Data type to force. Only a single dtype is allowed. If None, infer
     copy : boolean, default False
diff --git a/pandas/core/series.py b/pandas/core/series.py
index 90dc14836ab55..b54b95d986b97 100644
--- a/pandas/core/series.py
+++ b/pandas/core/series.py
@@ -131,7 +131,7 @@ class Series(base.IndexOpsMixin, generic.NDFrame):
     index : array-like or Index (1d)
         Values must be hashable and have the same length as `data`.
         Non-unique index values are allowed. Will default to
-        RangeIndex(len(data)) if not provided. If both a dict and index
+        RangeIndex (0, 1, 2, ..., n) if not provided. If both a dict and index
         sequence are used, the index will override the keys found in the
         dict.
     dtype : numpy.dtype or None