The family of transmissions has a plurality of members that can be utilized
in powertrains to provide at least seven forward speed ratios and one
reverse speed ratio. The transmission family members include three
planetary gear sets having six torque-transmitting mechanisms and two
fixed interconnections. The powertrain includes an engine and torque
converter that is continuously connected to at least one of the planetary
gear members and an output member that is continuously connected with
another one of the planetary gear members. The six torque-transmitting
mechanisms provide interconnections between various gear members, the
fixed interconnections, the input shaft, the output shaft, and the
transmission housing, and are operated in combinations of two to establish
at least seven forward speed ratios and at least one reverse speed ratio.