diff --git a/RELEASE_NOTES.md b/RELEASE_NOTES.md
index 50edbb7..be845e4 100644
--- a/RELEASE_NOTES.md
+++ b/RELEASE_NOTES.md
@@ -1,3 +1,9 @@
+### 4.5.0
+
+* Added `AsyncSeq.last` — returns the last element of the sequence; raises `InvalidOperationException` if empty, mirroring `Seq.last`.
+* Added `AsyncSeq.item` — returns the element at the specified index; raises `ArgumentException` if out of bounds, mirroring `Seq.item`.
+* Added `AsyncSeq.tryItem` — returns the element at the specified index as `option`, or `None` if the index is out of bounds, mirroring `Seq.tryItem`.
+
 ### 4.4.0
 
 * Added `AsyncSeq.findAsync` — async-predicate variant of `AsyncSeq.find`; raises `KeyNotFoundException` if no match, mirroring `Seq.find`.
diff --git a/src/FSharp.Control.AsyncSeq/AsyncSeq.fs b/src/FSharp.Control.AsyncSeq/AsyncSeq.fs
index a18c74d..554cf07 100644
--- a/src/FSharp.Control.AsyncSeq/AsyncSeq.fs
+++ b/src/FSharp.Control.AsyncSeq/AsyncSeq.fs
@@ -1066,6 +1066,32 @@ module AsyncSeq =
       | None -> return raise (System.InvalidOperationException("The input sequence was empty."))
       | Some v -> return v }
 
+  let last (source : AsyncSeq<'T>) = async {
+      let! result = tryLast source
+      match result with
+      | None -> return raise (System.InvalidOperationException("The input sequence was empty."))
+      | Some v -> return v }
+
+  let tryItem (index : int) (source : AsyncSeq<'T>) = async {
+      if index < 0 then return None
+      else
+          use ie = source.GetEnumerator()
+          let! first = ie.MoveNext()
+          let b = ref first
+          let i = ref 0
+          while b.Value.IsSome && !i < index do
+              let! next = ie.MoveNext()
+              b := next
+              i := !i + 1
+          if !i = index then return b.Value
+          else return None }
+
+  let item (index : int) (source : AsyncSeq<'T>) = async {
+      let! result = tryItem index source
+      match result with
+      | None -> return raise (System.ArgumentException(sprintf "The input sequence has an insufficient number of elements. index = %d" index))
+      | Some v -> return v }
+
   let exactlyOne (source : AsyncSeq<'T>) = async {
       use ie = source.GetEnumerator()
       let! first = ie.MoveNext()
diff --git a/src/FSharp.Control.AsyncSeq/AsyncSeq.fsi b/src/FSharp.Control.AsyncSeq/AsyncSeq.fsi
index a1cae85..4c84a41 100644
--- a/src/FSharp.Control.AsyncSeq/AsyncSeq.fsi
+++ b/src/FSharp.Control.AsyncSeq/AsyncSeq.fsi
@@ -155,6 +155,18 @@ module AsyncSeq =
     /// given asynchronous sequence (or None if the sequence is empty).
     val tryLast : source:AsyncSeq<'T> -> Async<'T option>
 
+    /// Asynchronously returns the last element of the asynchronous sequence.
+    /// Raises InvalidOperationException if the sequence is empty, mirroring Seq.last.
+    val last : source:AsyncSeq<'T> -> Async<'T>
+
+    /// Asynchronously returns the element at the specified index in the asynchronous sequence.
+    /// Raises ArgumentException if the index is out of bounds, mirroring Seq.item.
+    val item : index:int -> source:AsyncSeq<'T> -> Async<'T>
+
+    /// Asynchronously returns the element at the specified index in the asynchronous sequence,
+    /// or None if the index is out of bounds, mirroring Seq.tryItem.
+    val tryItem : index:int -> source:AsyncSeq<'T> -> Async<'T option>
+
     /// Asynchronously returns the first element that was generated by the
     /// given asynchronous sequence (or the specified default value).
     val firstOrDefault : ``default``:'T -> source:AsyncSeq<'T> -> Async<'T>
diff --git a/tests/FSharp.Control.AsyncSeq.Tests/AsyncSeqTests.fs b/tests/FSharp.Control.AsyncSeq.Tests/AsyncSeqTests.fs
index 33fc9d1..88ce7f1 100644
--- a/tests/FSharp.Control.AsyncSeq.Tests/AsyncSeqTests.fs
+++ b/tests/FSharp.Control.AsyncSeq.Tests/AsyncSeqTests.fs
@@ -3209,3 +3209,68 @@ let ``AsyncSeq.forallAsync returns true on empty sequence`` () =
     |> AsyncSeq.forallAsync (fun _ -> async { return false })
     |> Async.RunSynchronously
   Assert.IsTrue(result)
+
+// ===== last =====
+
+[<Test>]
+let ``AsyncSeq.last returns last element`` () =
+  let source = asyncSeq { yield 1; yield 2; yield 3 }
+  let result = AsyncSeq.last source |> Async.RunSynchronously
+  Assert.AreEqual(3, result)
+
+[<Test>]
+let ``AsyncSeq.last on singleton returns that element`` () =
+  let result = AsyncSeq.last (AsyncSeq.singleton 42) |> Async.RunSynchronously
+  Assert.AreEqual(42, result)
+
+[<Test>]
+let ``AsyncSeq.last raises on empty sequence`` () =
+  Assert.Throws<InvalidOperationException>(fun () ->
+    AsyncSeq.last AsyncSeq.empty<int> |> Async.RunSynchronously |> ignore) |> ignore
+
+// ===== item =====
+
+[<Test>]
+let ``AsyncSeq.item returns element at index 0`` () =
+  let source = asyncSeq { yield 10; yield 20; yield 30 }
+  let result = AsyncSeq.item 0 source |> Async.RunSynchronously
+  Assert.AreEqual(10, result)
+
+[<Test>]
+let ``AsyncSeq.item returns element at index 2`` () =
+  let source = asyncSeq { yield 10; yield 20; yield 30 }
+  let result = AsyncSeq.item 2 source |> Async.RunSynchronously
+  Assert.AreEqual(30, result)
+
+[<Test>]
+let ``AsyncSeq.item raises when index out of bounds`` () =
+  Assert.Throws<ArgumentException>(fun () ->
+    AsyncSeq.item 5 (AsyncSeq.ofSeq [1;2;3]) |> Async.RunSynchronously |> ignore) |> ignore
+
+[<Test>]
+let ``AsyncSeq.item raises when index negative`` () =
+  Assert.Throws<ArgumentException>(fun () ->
+    AsyncSeq.item -1 (AsyncSeq.ofSeq [1;2;3]) |> Async.RunSynchronously |> ignore) |> ignore
+
+// ===== tryItem =====
+
+[<Test>]
+let ``AsyncSeq.tryItem returns Some for valid index`` () =
+  let source = asyncSeq { yield 10; yield 20; yield 30 }
+  let result = AsyncSeq.tryItem 1 source |> Async.RunSynchronously
+  Assert.AreEqual(Some 20, result)
+
+[<Test>]
+let ``AsyncSeq.tryItem returns None for out-of-bounds index`` () =
+  let result = AsyncSeq.tryItem 10 (AsyncSeq.ofSeq [1;2;3]) |> Async.RunSynchronously
+  Assert.AreEqual(None, result)
+
+[<Test>]
+let ``AsyncSeq.tryItem returns None for negative index`` () =
+  let result = AsyncSeq.tryItem -1 (AsyncSeq.ofSeq [1;2;3]) |> Async.RunSynchronously
+  Assert.AreEqual(None, result)
+
+[<Test>]
+let ``AsyncSeq.tryItem returns None on empty sequence`` () =
+  let result = AsyncSeq.tryItem 0 AsyncSeq.empty<int> |> Async.RunSynchronously
+  Assert.AreEqual(None, result)