Using the General Series Command on Nspire CX CAS

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Discussion Overview

The discussion revolves around the use of the generalized series command on the Nspire CX CAS calculator, focusing on how to input various types of series, including those without specified domains. Participants explore methods for summing series and address specific examples.

Discussion Character

  • Technical explanation, Homework-related, Mathematical reasoning

Main Points Raised

  • One participant inquires about using the generalized series command on the Nspire CX CAS.
  • Another participant asks how to find the sum of a series that lacks a specified domain.
  • A suggestion is made to use the "Sum" option from the main menu and fill in the sum template for series calculations.
  • A specific example of a series in the form of $\frac{1}{5}+\frac{1}{7}+\frac{1}{9}+...$ is presented, prompting questions about its input into the calculator.
  • In response to the series example, a participant proposes using the template $\displaystyle \sum_{n=5}^{\infty}{\frac{1}{n}}$, but notes that the calculator indicates this series is divergent.

Areas of Agreement / Disagreement

Participants express varying approaches to inputting series into the calculator, and while some methods are suggested, there is no consensus on the best approach or resolution of the divergence issue.

Contextual Notes

Some assumptions about the nature of series and their convergence are not fully explored, and the discussion does not resolve the implications of divergence for the proposed series input.

ineedhelpnow
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How to use generalized series command on to nspire CX cas
 
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And how to find sum of series that doesn't have a specified domain.
 
ineedhelpnow said:
How to use generalized series command on to nspire CX cas

Can't you just choose "Sum" from the main menu and fill in the sum template?
 
what if I am given a series in the form of $\frac{1}{5}+\frac{1}{7}+\frac{1}{9}+...$ how would i put that into the calculator?
 
ineedhelpnow said:
what if I am given a series in the form of $\frac{1}{5}+\frac{1}{7}+\frac{1}{9}+...$ how would i put that into the calculator?

You'd put in the template $\displaystyle \begin{align*} \sum_{n=5}^{\infty}{\frac{1}{n}} \end{align*}$, but it will tell you that this particular series is divergent.
 

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