Make sure that you do not have Repeat turned on. From the users guide
Control playback. Tap a song to play it and show the Miniplayer. Tap the Miniplayer to show the Now Playing screen, where you can do the following:
Tap
to skip to the next song.
Tap
to return to the song’s beginning.
Double-tap
to play the previous song in an album or playlist.

Skip to any point in a song. Drag the playhead. Decrease the scrubbing speed by sliding your finger down the screen.
Share music. Tap
, then choose a sharing option.
Shuffle. Tap
to play your songs in random order.
Repeat. Tap
to repeat an album or playlist. Double-tap
to repeat a single song.
More. Tap
for additional options.
See what’s up next. Tap
. Tap a song to play it and the songs that follow. Drag
to reorder the list.
Stream music to an AirPlay-enabled device. Tap
in Now Playing, then choose a device. See AirPlay.
Hide Now Playing. Swipe down the album art or tap
to hide Now Playing.