The process of finding the next term in a sequence entails discerning the formula or pattern that's been employed to construct the sequence. This might encompass a straightforward arithmetic progression (such as incrementing by a fixed value), a geometric progression (where multiplication by a constant is involved), or it may involve a more intricate rule. Upon identifying the rule, it is then utilized to determine the succeeding term.
| Topic | Problem | Solution |
|---|---|---|
| None | Consider the sequence \(a_n\) where \(a_1 = 1\), … | From the given recurrence relation, we can generate the first few terms of the sequence: \(a_1 = 1\… |