A multi-speed automatic transmission includes an input and output, first,
second and three planetary gear units, each gear unit including a sun
gear, a ring gear, planet pinions meshing with the sun gear and the ring
gear, and a carrier rotatably supporting the planet pinions. A first
brake alternately holds against rotation and releases the sun gear of the
second gear unit and the sun gear of the third gear unit. A second brake
alternately holds and releases the carrier of the second gear unit. A
first clutch alternately connects and disconnects the carrier of the
first gear unit and the ring gear of the third gear unit. A second clutch
alternately disconnects and connects the carrier of the first gear unit
to the sun gears of the second gear unit and third gear unit. A third
clutch alternately releases and connects the input and ring gear of the
first gear unit to the carrier of the second gear unit.