diff --git a/src/Factories/Factory.php b/src/Factories/Factory.php
index e5c2c60..9292960 100644
--- a/src/Factories/Factory.php
+++ b/src/Factories/Factory.php
@@ -257,6 +257,7 @@ public function published(bool|string $published): self
     {
         return match ($published) {
             'random' => $this->sequence(fn (Sequence $sequence) => ['published' => collect([true, false])->random()]),
+            'sequence' => $this->sequence(fn (Sequence $sequence) => ['published' => true], ['published' => false]),
             false, 'false' => $this->set('published', false),
             default => $this->set('published', true),
         };
diff --git a/tests/FactoryTest.php b/tests/FactoryTest.php
index a73239e..2c5aafe 100644
--- a/tests/FactoryTest.php
+++ b/tests/FactoryTest.php
@@ -373,11 +373,14 @@ public function test_can_set_publish_state()
         $entry = FactoryTestEntryFactory::new()->published('false')->create();
         $this->assertSame(false, $entry->published());
 
-        $entry = FactoryTestEntryFactory::new()->site('random')->create();
+        $entry = FactoryTestEntryFactory::new()->published('random')->create();
         $this->assertContains($entry->published(), [true, false]);
 
-        $entry = FactoryTestEntryFactory::new()->site('anything')->create();
+        $entry = FactoryTestEntryFactory::new()->published('anything')->create();
         $this->assertSame(true, $entry->published());
+
+        $entries = FactoryTestEntryFactory::times(10)->published('sequence')->create();
+        $entries->each(fn ($entry, $index) => $this->assertSame($index % 2 === 0 ? true : false, $entry->published()));
     }
 }