The Revolutionary War was different from the French and Indian War in that they each had defined and different purposes.
The French and Indian War was a part of a larger war, known as the 7-Years War, and it was fought between France and the UK as they tried to determine who was going to be the most powerful nation.
The American Revolutionary War was fought by a colony of the UK against its colonial overlord and was being fought to establish a new form of Government in North America.