The process of determining the sum of a series incorporates the addition of every term in a given sequence. This process necessitates a clear comprehension of the type of series: whether it's arithmetic, geometric, or different. The sums of arithmetic series can be determined using the formula n/2*(a+l), while the sums of geometric series can be obtained applying the formula a/(1-r), where 'n' signifies the total number of terms, 'a' represents the initial term, 'l' corresponds to the final term, and 'r' is a reference to the common ratio.
| Topic | Problem | Solution |
|---|---|---|
| None | Find the sum of the series \(1 + 2 + 4 + 8 + 16 +… | This is a geometric series with first term \(a = 1\) and common ratio \(r = 2\). The sum of the fir… |