- Mathematical induction (Wikipedia)
Mathematical induction is a method for proving that a statement P(n) is true for every natural number n, that is, that the infinitely many cases P(0), P(1), P(2), P(3),… all hold. This is done by first proving a simple case, then also showing that if we assume the claim is true for a given case, then the next case is also true.
- Colorado (Wikipedia)
Colorado (/ˌkɒləˈrædoʊ, -ˈrɑːdoʊ/, other variants) is a state in the Mountain West sub-region of the Western United States. It encompasses most of the Southern Rocky Mountains, as well as the northeastern portion of the Colorado Plateau and the western edge of the Great Plains. Colorado is the eighth most extensive and 21st most populous U.S. state. The United States Census Bureau estimated the population of Colorado at 5,839,926 as of July 1, 2022, a 1.15% increase since the 2020 United States census.