Using the General Series Command on Nspire CX CAS

In summary, to use the generalized series command on the nspire CX cas, you can select "Sum" from the main menu and fill in the sum template. If you are given a series without a specified domain, such as $\frac{1}{5}+\frac{1}{7}+\frac{1}{9}+...$, you can enter the template $\sum_{n=5}^{\infty}{\frac{1}{n}}$ into the calculator. However, it will indicate that this series is divergent.
  • #1
ineedhelpnow
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How to use generalized series command on to nspire CX cas
 
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  • #2
And how to find sum of series that doesn't have a specified domain.
 
  • #3
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?
 
  • #4
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?
 
  • #5
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.
 

1. What is the General Series Command on Nspire CX CAS?

The General Series Command on Nspire CX CAS is a function that allows users to find the sum or product of a sequence of numbers, also known as a series. It is commonly used in mathematics and science to solve problems involving infinite series or to approximate the value of a function.

2. How do I use the General Series Command on Nspire CX CAS?

To use the General Series Command, you must first enter the sequence of numbers you want to find the sum or product of. This can be done by using the "seq" function and entering the formula for the sequence. Next, you can access the General Series Command by pressing the "Menu" button and selecting "Calculus" and then "Sum/Product". Finally, enter the starting and ending values for the series and the formula for the terms, and the calculator will calculate the sum or product for you.

3. Can I use the General Series Command for infinite series?

Yes, the General Series Command can be used for infinite series. However, it is important to note that the calculator will only provide an approximate value for the sum or product, as it is impossible to calculate the exact value of an infinite series.

4. What types of series can the General Series Command be used for?

The General Series Command can be used for a variety of series, including arithmetic, geometric, and power series. It can also be used for more complex series, such as alternating series and series with variable terms.

5. Are there any limitations to using the General Series Command?

While the General Series Command is a useful tool, it does have some limitations. As mentioned before, it can only provide an approximate value for infinite series. It also may not work for series with complicated or undefined terms. Additionally, the calculator may have difficulty calculating the sum or product of very large or small numbers, so it is important to be mindful of the accuracy of your inputs.

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