Curated OER
Worksheet 11 - Intervals
In this interval worksheet, students write a geometric series for the derivatives of a function. Students determine the values of x and where it may converge. This two-page worksheet contains five multi-step problems.
Curated OER
Partial Sums
Young scholars add numbers and represent digits in extended form. In this extended form lesson plan, students complete this with 2 digit addition problems.
Curated OER
Discussion Sheet 6: Convergence or Divergence
In this convergence or divergence worksheet, students perform tests for convergence or divergence. They estimate the sum in a series and determine the value of the convergent series. This one-page worksheet contains three problems.
Curated OER
Finding The Sum of an Infinite Series
High schoolers examine finding the sum of an infinite series as the limit of partial sums. Through hands-on activities, students create their own sequence by finding the area of a square and then cutting it in half-sized pieces. They...
Wolfram Research
Wolfram Math World: Infinite Series
The site contains information on infinite series. Includes formulas and links to related topics.
Richland Community College
Richland Community College: Arithmetic Sequences
This is a lesson from Richland Community College on arithmetic sequences. This site provides theories and examples for working with different problems of arithmetic sequences such as calculating the Sum and Difference of an arithmetic...
Other
Old Dominion University: Geometric Series
This site explains the geometric series. There is a link to the theory of the geometric theory.
Other
Math Pages: Mean Partial Sums of Non Convergent Series
This is a wordy and comprehensive site explaining the mean partial sums of non-convergent series.
CK-12 Foundation
Ck 12: Analysis: Explicit Formulas
[Free Registration/Login may be required to access all resource tools.] This lesson covers how to write the nth term and how to use it to find terms in the sequence. Students examine guided notes, review guided practice and attempt...
Math Notes and Math Tests
Pre Calculus Note: Arithmetic Sequences and Partial Sums [Pdf]
The tutorial discusses sequences and series. Students learn about arithmetic sequences, geometric sequences, partial sums, and infinite geometric series. The resource consists of class notes and examples with solutions.
Math Words
Math Words: Nth Partial Sum
This site gives a generalization of what the nth partial sum is through example of the 4th partial sum is.
Other
Math Pages: Bernoulli Numbers and Harmonic Series
This site from Math Pages contains information explaining harmonic series. The information is very in-depth and mathematic, but good factual information is provided. A good overall site.
Rice University
Rice University: Cynthia Lanius: Visualizing an Infinite Series
This site explains the infinite series through visualization.
Wolfram Research
Wolfram Math World: Partial Sum
This site gives the defintion of partial sum using the common symbol for summation.