Representation of series
- Juan Carlos Ponce Campuzano
Suppose we have a sequence with , whose terms are real numbers. For each , we define the partial sum
of the first terms of . Thus we obtain a new sequence , with . The following simulation shows the approximate values of the partial sums , from 1 to 1000 terms. Things to try:
- Drag the slider n to explore the values of .
- Change the function that define the series.
- Example: (-1)^(n+1)/n
- Example: n*sin(sqrt(n+1))