- In mathematics, a sequence is an enumerated collection of objects in which repetitions are allowed and order matters. Like a set, it contains members (also called elements, or terms). The number of elements (possibly infinite) is called the length of the sequence. Unlike a set, the same elements can appear multiple times at different positions in a sequence, and unlike a set, the order does matter. Formally, a sequence can be defined as a function from natural numbers (the positions of elements in the sequence) to the elements at each position. The notion of a sequence can be generalized to an indexed family, defined as a function from an arbitrary index set.
- Michigan (Wikipedia)
Michigan (/ˈmɪʃɪɡən/) is a state in the Great Lakes region of the upper Midwestern United States. It has land borders with Wisconsin to the southwest, and Indiana and Ohio to the south, and Lakes Superior, Michigan, Huron, and Erie also connect it to the states of Minnesota and Illinois, and the Canadian province of Ontario. With a population of nearly 10.12 million and an area of nearly 97,000 sq mi (250,000 km2), Michigan is the 10th-largest state by population, the 11th-largest by area, and the largest by area east of the Mississippi River. Its capital is Lansing, and its largest city is Detroit. Metro Detroit is among the nation’s most populous and largest metropolitan economies. Its name derives from a gallicized variant of the original Ojibwe word ᒥᓯᑲᒥ (mishigami), meaning “large water” or “large lake”.