What we call the French and Indian War was called the "Seven Years War" in Europe.
This war was part of the ongoing conflict between Great Britain and France (although this particular war involved other countries on each side). These countries had been in conflict on and off with one another for centuries.
The Seven Years War was much larger than the French and Indian War, so it is not exactly right to say that they are the same thing. The British and French were fighting each other in many places around the world.
So it's probably more proper to say that the French and Indian War was one theater of the Seven Years War.
According to your above answer, there were other countries involved in the wider conflict of the Seven Years' War, so What other parts of the world were at war?