Partial sums for convergent series

Click For Summary
SUMMARY

A non-recursive formula for the partial sums of a convergent series has been successfully identified. The discussion confirms that such formulas exist and can be derived for specific series. The user who found the solution did not specify the series or the formula, indicating that further exploration may be necessary to understand the general applicability of this finding.

PREREQUISITES
  • Understanding of convergent series in mathematics
  • Familiarity with summation notation
  • Basic knowledge of mathematical analysis
  • Experience with deriving formulas in calculus
NEXT STEPS
  • Research specific non-recursive formulas for partial sums of geometric series
  • Explore the concept of convergence in series and its implications
  • Study advanced techniques in mathematical analysis for series
  • Investigate the relationship between series and their convergence properties
USEFUL FOR

Mathematicians, students of calculus, and anyone interested in advanced series analysis will benefit from this discussion.

kahwawashay1
Messages
95
Reaction score
0
Is it possible to find a non-recursive formula for the partial sums of a convergent series?
 
Physics news on Phys.org
kahwawashay1 said:
Is it possible to find a non-recursive formula for the partial sums of a convergent series?

nvm, i found one
 

Similar threads

Graduate Solving a power series
  • · Replies 3 ·
Replies
3
Views
4K
Undergrad Infinite Series of Infinite Series
  • · Replies 7 ·
Replies
7
Views
3K
High School I'm trying to find a general formula for a harmonic(ish) series
  • · Replies 8 ·
Replies
8
Views
2K
Undergrad Convergence of an infinite series
  • · Replies 15 ·
Replies
15
Views
3K
High School Understanding about Sequences and Series
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad Does the sum of all series 1/n^m, m>1 converge?
  • · Replies 4 ·
Replies
4
Views
2K
Graduate How Can We Ensure Convergence in Function Approximations Beyond Taylor Series?
  • · Replies 23 ·
Replies
23
Views
4K
Undergrad What is the Function for the Value of a Convergent Series Sum?
  • · Replies 3 ·
Replies
3
Views
1K
Undergrad Infinite series as the limit of its sequence of partial sums
  • · Replies 3 ·
Replies
3
Views
2K
Undergrad What is the difference between these two power series theorems?
  • · Replies 5 ·
Replies
5
Views
3K