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Geneseo is a town in Livingston County in the Finger Lakes region of New York, United States on the far south end of the five-county Rochester Metropolitan Area. The population was 10,483 at the 2010 census. The town and surrounding area is quite rural. The English name "Geneseo" is an anglicization of the Iroquois name for the earlier Iroquois town there, Gen-nis-he-yo (which means "beautiful valley"). A village of the same name lies within the town's western portion.
As of the census of 2000, there were 9,654 people, 2,523 households, and 1,303 families residing in the town. The population density was 219.6 people per square mile (84.8/km²).
11.9% of the town's population was under age of 18, 51.3% was from age 18 to 24, 15.2% was from age 25 to 44, 13.2% was from age 45 to 64, and 8.5% were age 65 or older. The median age was 22 years. 26.0% of all households were made up of individuals and 9.6% had someone living alone who was 65 years of age or older.