diff --git a/Doc/library/asyncio-task.rst b/Doc/library/asyncio-task.rst
index 99f012540d9..eb51c704cea 100644
--- a/Doc/library/asyncio-task.rst
+++ b/Doc/library/asyncio-task.rst
@@ -504,10 +504,10 @@ Waiting Primitives
                             return_when=ALL_COMPLETED)
 
    Run :ref:`awaitable objects <asyncio-awaitables>` in the *aws*
-   set concurrently and block until the condition specified
+   iterable concurrently and block until the condition specified
    by *return_when*.
 
-   The *aws* set must not be empty.
+   The *aws* iterable must not be empty.
 
    Returns two sets of Tasks/Futures: ``(done, pending)``.
 
@@ -593,9 +593,9 @@ Waiting Primitives
 .. function:: as_completed(aws, \*, loop=None, timeout=None)
 
    Run :ref:`awaitable objects <asyncio-awaitables>` in the *aws*
-   set concurrently.  Return an iterator of coroutines.
+   iterable concurrently.  Return an iterator of coroutines.
    Each coroutine returned can be awaited to get the earliest next
-   result from the set of the remaining awaitables.
+   result from the iterable of the remaining awaitables.
 
    Raises :exc:`asyncio.TimeoutError` if the timeout occurs before
    all Futures are done.
diff --git a/Lib/asyncio/tasks.py b/Lib/asyncio/tasks.py
index 8b05434f273..ad31f5d5979 100644
--- a/Lib/asyncio/tasks.py
+++ b/Lib/asyncio/tasks.py
@@ -373,7 +373,7 @@ ALL_COMPLETED = concurrent.futures.ALL_COMPLETED
 async def wait(fs, *, loop=None, timeout=None, return_when=ALL_COMPLETED):
     """Wait for the Futures and coroutines given by fs to complete.
 
-    The sequence futures must not be empty.
+    The fs iterable must not be empty.
 
     Coroutines will be wrapped in Tasks.
 
@@ -573,7 +573,7 @@ def as_completed(fs, *, loop=None, timeout=None):
     Note: The futures 'f' are not necessarily members of fs.
     """
     if futures.isfuture(fs) or coroutines.iscoroutine(fs):
-        raise TypeError(f"expect a list of futures, not {type(fs).__name__}")
+        raise TypeError(f"expect an iterable of futures, not {type(fs).__name__}")
 
     from .queues import Queue  # Import here to avoid circular import problem.
     done = Queue(loop=loop)