How do the three types of settlements reflect the three reasons the spanish were exploring the
world?

There are three main reasons for European Exploration. Them being for the sake of their economy, religion and glory. They wanted to improve their economy for instance by acquiring more spices, gold, and better and faster trading routes. Also, they really believed in the need to spread their religion, Christianity.

Explanation:

especially research the treaty of greenville and the treaty of colerain in washington's administration.   also research at least one significant treaty from the administrations of adams, jefferson, and madison. tell the outcome of each treaty and how it did or did not in the further development of the west.

treaty of greenville (1814) the treaty of greenville (1814) was called a treaty of peace and friendship between the united states of america and the tribes of native americans called the wyandots, delawares, shawanoese, senacas and miamies.

the treaty of colerain was signed at st. marys, georgia in camden county, georgia, by benjamin hawkins, george clymer, and andrew pickens for the united states and representatives of the creek nation, for whom indian trader langley bryant served as an interpreter, on june 29, 1796, proclaimed on march 18, 1797, and codified as 7 stat. 56. colerain was a small community and the site of a u.s. indian factory founded by james seagrove.  

this treaty affirmed the binding of the treaty of new york (1790). the treaties of hopewell and the treaty of holston (1791) established boundary lines between the choctaws, chickasaws, cherokee, and the u.s. the treaty of colerain bound the creek nation to acknowledge the boundaries established in those treaties.  

it also established the boundary line between the creek nation and the united states. at the time of this treaty, the boundaries between spanish florida and the u.s. had not yet been established. this treaty formally allowed the creek chiefs to acknowledge the negotiation for delineating the georgia-florida boundary with spain.  

the treaty contained a provision that the president of the u.s. may establish a trading or military outpost.  

the united states demanded that the creeks give up their american prisoners and also return all "citizens, white inhabitants, negroes and property" taken by the creeks.  

the treaty describes when it would take effect. after the treaty had been signed but not yet promulgated, the u.s. senate requested modification of two articles of the treaty. the first modification stipulated that the military or trading posts would be under the control of the united states. the second modification stipulated that if the u.s. no longer required the use of those posts, the locations would revert to the creek people.