Accept None as start and stop parameters for list.index() and tuple.index()

Closes #13340.
diff --git a/Lib/test/seq_tests.py b/Lib/test/seq_tests.py
index f5e4e0e..0c8cf90 100644
--- a/Lib/test/seq_tests.py
+++ b/Lib/test/seq_tests.py
@@ -363,6 +363,13 @@
         self.assertEqual(u.index(0, 3), 3)
         self.assertEqual(u.index(0, 3, 4), 3)
         self.assertRaises(ValueError, u.index, 2, 0, -10)
+        self.assertEqual(u.index(1, None), 4)
+        self.assertEqual(u.index(1, None, None), 4)
+        self.assertEqual(u.index(1, 0, None), 4)
+        self.assertEqual(u.index(1, None, 6), 4)
+        self.assertRaises(ValueError, u.index, -1, 3)
+        self.assertRaises(ValueError, u.index, -1, 3, None)
+        self.assertRaises(ValueError, u.index, 1, None, 4)
 
         self.assertRaises(TypeError, u.index)