As Kevin Langley Jr. says, you'll probably need to use php logic to do this.
You'll need to modify this for you query but in your loop try adding a flag for the post type:
$firstOfPostType = true; //set your flag to true initially
if( have_posts() ) : while( have_posts() ) : the_post();
if( $firstOfPostType == true && $post->post_type == "YOUR POST TYPE" ){
continue;// Skip this iteration
$firstOfPostType = false;// set this to false so it doesn't run again.
}
[edit: to add formatted code as supplied in comments]
This may work. Depending on what's in content-POSTFORMAT.php which is brought in by get_template_part() you may need to put the code in there.
<?php
query_posts(
array(
'posts_per_page' => 10,
'paged' => ( get_query_var('paged') ? get_query_var('paged') : 1 ),
)
);
$posts = get_posts(
array (
'numberposts' => '10',
'post_type' => array (
'post',
'episodes',
'featured-stories'
),
))
;
$firstOfPostType = true;
foreach ($posts as $post) : start_wp();
if( $firstOfPostType == true && $post->post_type == "episodes"){
$firstOfPostType = false;
continue;
}
?>
<?php
static $count2 = 0;
if ($count2 == "10") { break; }
else { ?>
<?php get_template_part( 'content', get_post_format() ); ?>
<?php $count2++; } ?>
<?php endforeach; ?>