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 and six torque-transmitting mechanisms. A fixed
interconnection continuously connects members of the first, second and
third planetary gear sets. The powertrain includes an engine and torque
converter that is continuously connected to 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 input shaft,
the output shaft, and with the transmission housing, and are operated in
combinations of three to establish at least seven forward speed ratios and
one reverse speed ratio.