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.
Hear it in:
Amazing Grace
Blame It On The Blues [main theme]
Bugle Boy March [main theme]
Delia's Gone
Gettysburg March
Hush! Hush! Somebody's Calling My Name
I Love You Because
I Love You Because
I'm Sitting On Top Of The World
In The Sweet By and By
In the Shade of the Old Apple Tree
I Wish'T I Was in Peoria
I Wish'T I Was in Peoria
Lady Be Good
Marching Through Georgia
My Gal Sal
My Old Kentucky Home
Poor Old Joe
Precious Lord, Lead Me On
Red Sails In The Sunset
Salutation March [main theme]
Shine
Sometimes My Burden Is Too Hard To Bear
Sometimes My Burden Is Too Hard To Bear
The Rose Room
Wait Till The Sun Shines, Nellie
Walking With the King
Way Down Upon The Swanee River (aka The Old Folks At Home)
Walking the Dog
The Waltz You Saved for Me
What A Friend We Have In Jesus
What A Friend We Have In Jesus
When You And I Were Young, Maggie
Redwing
Yearning
