Final answer:
Geronimo's band was persuaded to surrender through military defeat, after being pursued by federal troops and trapped. They surrendered under the promise of a new reservation, but were instead placed in a federal prison.
Step-by-step explanation:
Geronimo's band was finally persuaded to surrender through military defeat. After being pursued by federal troops for over a year, Geronimo's band was trapped in 1886 and surrendered under the promise of being granted a new reservation. However, instead of being granted autonomy, they were placed in a federal prison in Florida.
However, instead of receiving this promised land, they were deported to a federal prison in Florida. This surrender took place after a long period of evasion and conflict, with both sides committing atrocities against civilians.