Answer;
They wanted;
National glory
Wealth
New sources of goods and trade.
Explanation;
The Europeans, as well as other colonies that have settled in the New World, wanted the Three G' Glory (for their colony, to conquer), Gold (to discover goods that would help improve their economy/to gather rare materials such as gold and silver), and God (to get Native Americans to be converted into Christianity).
In believe to a greater extent, they did get what they wanted, even if it was through the exploitation of the New World and its resources as well as the Native.