The family of transmissions has a plurality of members that can be utilized
in powertrains to provide at least seven forward speed ratios and at least
one reverse speed ratio. The transmission family members include three
planetary gear sets having six torque-transmitting mechanisms. Two fixed
interconnections continuously connect members of the first, second and
third planetary gear sets. One of the fixed interconnections is also
connected to the transmission housing. The powertrain includes an engine
and torque converter that is not continuously connected to any of the
planetary gear members and an output member that is continuously connected
with 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.