To find the nth term in a sequence, one must discern a pattern or principle that establishes a connection between each term and its respective place in the sequence. This principle could take the form of a mathematical formula, an arithmetic operation, or an algebraic expression. Once this principle is discovered, it can be utilized to determine any term within the series.
| Topic | Problem | Solution |
|---|---|---|
| None | Given the sequence 5, 8, 14, 23, 35, ..., find th… | First, notice that the difference between consecutive terms is increasing by 1 each time: 8 - 5 = 3… |