It is called The Apple Tree Progression because it was used in that lovely enduring song from 1905 - In the Shade of the Old Apple Tree.
What happens is that the song begins on the chord of the Tonic; it then moves on to the chord of the 4th note of the scale; and then back to the Tonic. So in the key of C, the first three chords would be C - F - C. The effect is that it gently rocks you away from the tonic and back on to it.
I Love You Because
I Wish'T I Was in Peoria
Sometimes My Burden Is Too Hard To Bear
What A Friend We Have In Jesus