Computing Finite Power Series Sums in MATLAB: A Beginner's Guide

In summary, the problem at hand involves computing the sum of a finite power series in MATLAB, where x=0.5 and x=1/4 and x=2/3 are the given values. The series should be computed for n=5, n=10, n=25, and n=100, with all coefficients ai equal to 1. The operation .^ should be used to raise numbers to powers, and the command sum(v) should be used to find the sum of a vector's elements. The main issue is the lack of experience with MATLAB. Some effort, such as attempting to code this in another programming language and using the MATLAB Help feature, is required before seeking further help.
  • #1
DaniRiethmill
1
0
I having trouble trying to compute the sum of a finite power series with matlab.Basically, the problem says to take x=0.5 and compute the sum of a series for n=5, n=10, n=25, and n=100 and for all coefficients ai=1. It also says to use the operation .^ and command sum(v) that takes a vector and returns the sum of its elements. Then to do the same thing with x=1/4 and x=2/3. I guess my real problem is that I have very little MATLAB experience and don't even know where to start.
 
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  • #2
DaniRiethmill said:
I having trouble trying to compute the sum of a finite power series with matlab.Basically, the problem says to take x=0.5 and compute the sum of a series for n=5, n=10, n=25, and n=100 and for all coefficients ai=1. It also says to use the operation .^ and command sum(v) that takes a vector and returns the sum of its elements. Then to do the same thing with x=1/4 and x=2/3. I guess my real problem is that I have very little MATLAB experience and don't even know where to start.

Welcome to the PF.

You have to show some effort before we can offer much tutorial help -- them's the rules here at the PF.

So, how would you code this in C? Or in any other programming language that you know.

When you use the MATLAB Help feature, what does it show you for computing sums, and for raising numbers to powers?
 

FAQ: Computing Finite Power Series Sums in MATLAB: A Beginner's Guide

What is the purpose of using MatLAB for power series problems?

MatLAB is a powerful computational software that allows scientists to efficiently solve complex mathematical problems, such as power series problems, using its built-in functions and algorithms.

How do I initialize a power series in MatLAB?

To initialize a power series in MatLAB, you can use the "syms" function to declare the variable as a symbolic variable, and then use the "taylor" function to create the power series with the desired number of terms.

Can I plot the graph of a power series in MatLAB?

Yes, you can plot the graph of a power series in MatLAB using the "ezplot" function, which allows you to visualize the series and its convergence or divergence.

Is there a built-in function in MatLAB for calculating the sum of a power series?

Yes, MatLAB has a built-in function called "symsum" which can be used to calculate the sum of a power series up to a desired number of terms.

How can I check the convergence or divergence of a power series in MatLAB?

You can use the "abs" function to calculate the absolute value of each term in the power series, and then use the "limit" function to check the limit of the resulting series as it approaches infinity. If the limit is equal to 0, the series converges, and if the limit is infinity, the series diverges.

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