diff --git a/runtime/doc/lua.txt b/runtime/doc/lua.txt
index 1411ac7436..51dcf99dd2 100644
--- a/runtime/doc/lua.txt
+++ b/runtime/doc/lua.txt
@@ -4053,6 +4053,9 @@ Iter:last()                                                      *Iter:last()*
     Return: ~
         (`any`)
 
+    See also: ~
+      • Iter.rpeek
+
 Iter:map({f})                                                     *Iter:map()*
     Maps the items of an iterator pipeline to the values returned by `f`.
 
@@ -4094,53 +4097,28 @@ Iter:next()                                                      *Iter:next()*
     Return: ~
         (`any`)
 
-Iter:nextback()                                              *Iter:nextback()*
-    "Pops" a value from a |list-iterator| (gets the last value and decrements
-    the tail).
-
-    Example: >lua
-        local it = vim.iter({1, 2, 3, 4})
-        it:nextback()
-        -- 4
-        it:nextback()
-        -- 3
-<
-
-    Return: ~
-        (`any`)
-
 Iter:nth({n})                                                     *Iter:nth()*
     Gets the nth value of an iterator (and advances to it).
 
-    Example: >lua
+    If `n` is negative, offsets from the end of a |list-iterator|.
 
+    Example: >lua
         local it = vim.iter({ 3, 6, 9, 12 })
         it:nth(2)
         -- 6
         it:nth(2)
         -- 12
-<
 
-    Parameters: ~
-      • {n}  (`number`) The index of the value to return.
-
-    Return: ~
-        (`any`)
-
-Iter:nthback({n})                                             *Iter:nthback()*
-    Gets the nth value from the end of a |list-iterator| (and advances to it).
-
-    Example: >lua
-
-        local it = vim.iter({ 3, 6, 9, 12 })
-        it:nthback(2)
+        local it2 = vim.iter({ 3, 6, 9, 12 })
+        it2:nth(-2)
         -- 9
-        it:nthback(2)
+        it2:nth(-2)
         -- 3
 <
 
     Parameters: ~
-      • {n}  (`number`) The index of the value to return.
+      • {n}  (`number`) Index of the value to return. May be negative if the
+             source is a |list-iterator|.
 
     Return: ~
         (`any`)
@@ -4162,19 +4140,16 @@ Iter:peek()                                                      *Iter:peek()*
     Return: ~
         (`any`)
 
-Iter:peekback()                                              *Iter:peekback()*
-    Gets the last value of a |list-iterator| without consuming it.
-
-    See also |Iter:last()|.
+Iter:pop()                                                        *Iter:pop()*
+    "Pops" a value from a |list-iterator| (gets the last value and decrements
+    the tail).
 
     Example: >lua
         local it = vim.iter({1, 2, 3, 4})
-        it:peekback()
-        -- 4
-        it:peekback()
-        -- 4
-        it:nextback()
+        it:pop()
         -- 4
+        it:pop()
+        -- 3
 <
 
     Return: ~
@@ -4194,8 +4169,8 @@ Iter:rev()                                                        *Iter:rev()*
         (`Iter`)
 
 Iter:rfind({f})                                                 *Iter:rfind()*
-    Gets the first value in a |list-iterator| that satisfies a predicate,
-    starting from the end.
+    Gets the first value satisfying a predicate, from the end of a
+    |list-iterator|.
 
     Advances the iterator. Returns nil and drains the iterator if no value is
     found.
@@ -4218,6 +4193,42 @@ Iter:rfind({f})                                                 *Iter:rfind()*
     See also: ~
       • Iter.find
 
+Iter:rpeek()                                                    *Iter:rpeek()*
+    Gets the last value of a |list-iterator| without consuming it.
+
+    Example: >lua
+        local it = vim.iter({1, 2, 3, 4})
+        it:rpeek()
+        -- 4
+        it:rpeek()
+        -- 4
+        it:pop()
+        -- 4
+<
+
+    Return: ~
+        (`any`)
+
+    See also: ~
+      • Iter.last
+
+Iter:rskip({n})                                                 *Iter:rskip()*
+    Discards `n` values from the end of a |list-iterator| pipeline.
+
+    Example: >lua
+        local it = vim.iter({ 1, 2, 3, 4, 5 }):rskip(2)
+        it:next()
+        -- 1
+        it:pop()
+        -- 3
+<
+
+    Parameters: ~
+      • {n}  (`number`) Number of values to skip.
+
+    Return: ~
+        (`Iter`)
+
 Iter:skip({n})                                                   *Iter:skip()*
     Skips `n` values of an iterator pipeline.
 
@@ -4234,27 +4245,10 @@ Iter:skip({n})                                                   *Iter:skip()*
     Return: ~
         (`Iter`)
 
-Iter:skipback({n})                                           *Iter:skipback()*
-    Skips `n` values backwards from the end of a |list-iterator| pipeline.
-
-    Example: >lua
-        local it = vim.iter({ 1, 2, 3, 4, 5 }):skipback(2)
-        it:next()
-        -- 1
-        it:nextback()
-        -- 3
-<
-
-    Parameters: ~
-      • {n}  (`number`) Number of values to skip.
-
-    Return: ~
-        (`Iter`)
-
 Iter:slice({first}, {last})                                     *Iter:slice()*
     Sets the start and end of a |list-iterator| pipeline.
 
-    Equivalent to `:skip(first - 1):skipback(len - last + 1)`.
+    Equivalent to `:skip(first - 1):rskip(len - last + 1)`.
 
     Parameters: ~
       • {first}  (`number`)
diff --git a/runtime/doc/news.txt b/runtime/doc/news.txt
index b2e20e5405..5881d90358 100644
--- a/runtime/doc/news.txt
+++ b/runtime/doc/news.txt
@@ -159,6 +159,14 @@ unreleased features on Nvim HEAD.
 
 • Changed |vim.ui.open()| return-signature to match pcall() convention.
 
+• Renamed Iter:nextback() to Iter:pop()
+
+• Renamed Iter:peekback() to Iter:rpeek()
+
+• Renamed Iter:skipback() to Iter:rskip()
+
+• Removed Iter:nthback(), use Iter:nth() with negative index instead.
+
 ==============================================================================
 NEW FEATURES                                                    *news-features*
 
diff --git a/runtime/lua/vim/iter.lua b/runtime/lua/vim/iter.lua
index 302463b136..04137e18d4 100644
--- a/runtime/lua/vim/iter.lua
+++ b/runtime/lua/vim/iter.lua
@@ -630,7 +630,7 @@ function Iter:find(f)
   return unpack(result)
 end
 
---- Gets the first value in a |list-iterator| that satisfies a predicate, starting from the end.
+--- Gets the first value satisfying a predicate, from the end of a |list-iterator|.
 ---
 --- Advances the iterator. Returns nil and drains the iterator if no value is found.
 ---
@@ -717,19 +717,19 @@ end
 ---
 --- ```lua
 --- local it = vim.iter({1, 2, 3, 4})
---- it:nextback()
+--- it:pop()
 --- -- 4
---- it:nextback()
+--- it:pop()
 --- -- 3
 --- ```
 ---
 ---@return any
-function Iter:nextback()
-  error('nextback() requires a list-like table')
+function Iter:pop()
+  error('pop() requires a list-like table')
 end
 
 --- @nodoc
-function ListIter:nextback()
+function ListIter:pop()
   if self._head ~= self._tail then
     local inc = self._head < self._tail and 1 or -1
     self._tail = self._tail - inc
@@ -739,27 +739,27 @@ end
 
 --- Gets the last value of a |list-iterator| without consuming it.
 ---
---- See also |Iter:last()|.
----
 --- Example:
 ---
 --- ```lua
 --- local it = vim.iter({1, 2, 3, 4})
---- it:peekback()
+--- it:rpeek()
 --- -- 4
---- it:peekback()
+--- it:rpeek()
 --- -- 4
---- it:nextback()
+--- it:pop()
 --- -- 4
 --- ```
 ---
+---@see Iter.last
+---
 ---@return any
-function Iter:peekback()
-  error('peekback() requires a list-like table')
+function Iter:rpeek()
+  error('rpeek() requires a list-like table')
 end
 
 ---@nodoc
-function ListIter:peekback()
+function ListIter:rpeek()
   if self._head ~= self._tail then
     local inc = self._head < self._tail and 1 or -1
     return self._table[self._tail - inc]
@@ -797,27 +797,27 @@ function ListIter:skip(n)
   return self
 end
 
---- Skips `n` values backwards from the end of a |list-iterator| pipeline.
+--- Discards `n` values from the end of a |list-iterator| pipeline.
 ---
 --- Example:
 ---
 --- ```lua
---- local it = vim.iter({ 1, 2, 3, 4, 5 }):skipback(2)
+--- local it = vim.iter({ 1, 2, 3, 4, 5 }):rskip(2)
 --- it:next()
 --- -- 1
---- it:nextback()
+--- it:pop()
 --- -- 3
 --- ```
 ---
 ---@param n number Number of values to skip.
 ---@return Iter
 ---@diagnostic disable-next-line: unused-local
-function Iter:skipback(n) -- luacheck: no unused args
-  error('skipback() requires a list-like table')
+function Iter:rskip(n) -- luacheck: no unused args
+  error('rskip() requires a list-like table')
 end
 
 ---@private
-function ListIter:skipback(n)
+function ListIter:rskip(n)
   local inc = self._head < self._tail and n or -n
   self._tail = self._tail - inc
   if (inc > 0 and self._head > self._tail) or (inc < 0 and self._head < self._tail) then
@@ -828,51 +828,37 @@ end
 
 --- Gets the nth value of an iterator (and advances to it).
 ---
+--- If `n` is negative, offsets from the end of a |list-iterator|.
+---
 --- Example:
 ---
 --- ```lua
----
 --- local it = vim.iter({ 3, 6, 9, 12 })
 --- it:nth(2)
 --- -- 6
 --- it:nth(2)
 --- -- 12
 ---
+--- local it2 = vim.iter({ 3, 6, 9, 12 })
+--- it2:nth(-2)
+--- -- 9
+--- it2:nth(-2)
+--- -- 3
 --- ```
 ---
----@param n number The index of the value to return.
+---@param n number Index of the value to return. May be negative if the source is a |list-iterator|.
 ---@return any
 function Iter:nth(n)
   if n > 0 then
     return self:skip(n - 1):next()
-  end
-end
-
---- Gets the nth value from the end of a |list-iterator| (and advances to it).
----
---- Example:
----
---- ```lua
----
---- local it = vim.iter({ 3, 6, 9, 12 })
---- it:nthback(2)
---- -- 9
---- it:nthback(2)
---- -- 3
----
---- ```
----
----@param n number The index of the value to return.
----@return any
-function Iter:nthback(n)
-  if n > 0 then
-    return self:skipback(n - 1):nextback()
+  elseif n < 0 then
+    return self:rskip(math.abs(n) - 1):pop()
   end
 end
 
 --- Sets the start and end of a |list-iterator| pipeline.
 ---
---- Equivalent to `:skip(first - 1):skipback(len - last + 1)`.
+--- Equivalent to `:skip(first - 1):rskip(len - last + 1)`.
 ---
 ---@param first number
 ---@param last number
@@ -884,7 +870,7 @@ end
 
 ---@private
 function ListIter:slice(first, last)
-  return self:skip(math.max(0, first - 1)):skipback(math.max(0, self._tail - last - 1))
+  return self:skip(math.max(0, first - 1)):rskip(math.max(0, self._tail - last - 1))
 end
 
 --- Returns true if any of the items in the iterator match the given predicate.
@@ -950,6 +936,8 @@ end
 ---
 --- ```
 ---
+---@see Iter.rpeek
+---
 ---@return any
 function Iter:last()
   local last = self:next()
@@ -1016,6 +1004,26 @@ function ListIter:enumerate()
   return self
 end
 
+---@deprecated
+function Iter:nextback()
+  error('Iter:nextback() was renamed to Iter:pop()')
+end
+
+---@deprecated
+function Iter:peekback()
+  error('Iter:peekback() was renamed to Iter:rpeek()')
+end
+
+---@deprecated
+function Iter:skipback()
+  error('Iter:skipback() was renamed to Iter:rskip()')
+end
+
+---@deprecated
+function Iter:nthback()
+  error('Iter:nthback() was removed, use Iter:nth() with negative index')
+end
+
 --- Creates a new Iter object from a table or other |iterable|.
 ---
 ---@param src table|function Table or iterator to drain values from
diff --git a/test/functional/lua/iter_spec.lua b/test/functional/lua/iter_spec.lua
index 92e809d55c..676b83a801 100644
--- a/test/functional/lua/iter_spec.lua
+++ b/test/functional/lua/iter_spec.lua
@@ -169,19 +169,19 @@ describe('vim.iter', function()
     end
   end)
 
-  it('skipback()', function()
+  it('rskip()', function()
     do
       local q = { 4, 3, 2, 1 }
-      eq(q, vim.iter(q):skipback(0):totable())
-      eq({ 4, 3, 2 }, vim.iter(q):skipback(1):totable())
-      eq({ 4, 3 }, vim.iter(q):skipback(2):totable())
-      eq({ 4 }, vim.iter(q):skipback(#q - 1):totable())
-      eq({}, vim.iter(q):skipback(#q):totable())
-      eq({}, vim.iter(q):skipback(#q + 1):totable())
+      eq(q, vim.iter(q):rskip(0):totable())
+      eq({ 4, 3, 2 }, vim.iter(q):rskip(1):totable())
+      eq({ 4, 3 }, vim.iter(q):rskip(2):totable())
+      eq({ 4 }, vim.iter(q):rskip(#q - 1):totable())
+      eq({}, vim.iter(q):rskip(#q):totable())
+      eq({}, vim.iter(q):rskip(#q + 1):totable())
     end
 
     local it = vim.iter(vim.gsplit('a|b|c|d', '|'))
-    matches('skipback%(%) requires a list%-like table', pcall_err(it.skipback, it, 0))
+    matches('rskip%(%) requires a list%-like table', pcall_err(it.rskip, it, 0))
   end)
 
   it('slice()', function()
@@ -222,19 +222,19 @@ describe('vim.iter', function()
     end
   end)
 
-  it('nthback()', function()
+  it('nth(-x) advances in reverse order starting from end', function()
     do
       local q = { 4, 3, 2, 1 }
-      eq(nil, vim.iter(q):nthback(0))
-      eq(1, vim.iter(q):nthback(1))
-      eq(2, vim.iter(q):nthback(2))
-      eq(3, vim.iter(q):nthback(3))
-      eq(4, vim.iter(q):nthback(4))
-      eq(nil, vim.iter(q):nthback(5))
+      eq(nil, vim.iter(q):nth(0))
+      eq(1, vim.iter(q):nth(-1))
+      eq(2, vim.iter(q):nth(-2))
+      eq(3, vim.iter(q):nth(-3))
+      eq(4, vim.iter(q):nth(-4))
+      eq(nil, vim.iter(q):nth(-5))
     end
 
     local it = vim.iter(vim.gsplit('a|b|c|d', '|'))
-    matches('skipback%(%) requires a list%-like table', pcall_err(it.nthback, it, 1))
+    matches('rskip%(%) requires a list%-like table', pcall_err(it.nth, it, -1))
   end)
 
   it('take()', function()
@@ -421,34 +421,34 @@ describe('vim.iter', function()
     end
   end)
 
-  it('nextback()', function()
+  it('pop()', function()
     do
       local it = vim.iter({ 1, 2, 3, 4 })
-      eq(4, it:nextback())
-      eq(3, it:nextback())
-      eq(2, it:nextback())
-      eq(1, it:nextback())
-      eq(nil, it:nextback())
-      eq(nil, it:nextback())
+      eq(4, it:pop())
+      eq(3, it:pop())
+      eq(2, it:pop())
+      eq(1, it:pop())
+      eq(nil, it:pop())
+      eq(nil, it:pop())
     end
 
     do
       local it = vim.iter(vim.gsplit('hi', ''))
-      matches('nextback%(%) requires a list%-like table', pcall_err(it.nextback, it))
+      matches('pop%(%) requires a list%-like table', pcall_err(it.pop, it))
     end
   end)
 
-  it('peekback()', function()
+  it('rpeek()', function()
     do
       local it = vim.iter({ 1, 2, 3, 4 })
-      eq(4, it:peekback())
-      eq(4, it:peekback())
-      eq(4, it:nextback())
+      eq(4, it:rpeek())
+      eq(4, it:rpeek())
+      eq(4, it:pop())
     end
 
     do
       local it = vim.iter(vim.gsplit('hi', ''))
-      matches('peekback%(%) requires a list%-like table', pcall_err(it.peekback, it))
+      matches('rpeek%(%) requires a list%-like table', pcall_err(it.rpeek, it))
     end
   end)