what was improved for the future
The trip was considered a success even though the mission wasn't completed, because NASA gained critical information that made the next Apollo missions a success. For starters they started raising the permissible voltage to the heaters this changed the voltage level of them from 28-65. The crew who assembled the next Apollo space craft didn't think to modify the heaters so when left on for long periods of time would make it a possible bomb threat.
The Apollo 13 crew
the next apollo mission
The next Apollo mission was 14, and they would be given the same mission that Apollo 13 crew were given. They were the 3rd shuttle that would land on the moon. They would be going to The Fra Mauro Site with the mission to gather a greater amount of lunar material, and a greater amount of scientific data than had ever been achieved before. Some of the the experiments that they conducted on the moon were radioed back to earth, or were taken back to earth.
The Apollo 14 crew