The process of determining the sum of the initial n terms of a sequence requires the application of certain formulas. When dealing with an arithmetic sequence, one should use the formula n/2 * (initial term + final term). In contrast, for a geometric sequence, the appropriate formula is initial term * (1 - ratio^n) / (1 - ratio). It is crucial to comprehend these formulas.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the sum of the first 100 terms of the sequen… | The sum of the first n terms of a sequence is given by the formula \(S_n = \sum_{i=1}^{n} a_i\), wh… |