Cumulative Sum

Hi,

I think a new command should be added to Geogebra called CumulativeSum. I think this command would better serve calculus students who want to plot a sequence of partial sums of an infinite series. I suggest the command should have this option:

CumulativeSum

• 
  

  That is, if the list contains:

  
  

  list={a1,a2,a3,a4,a5,...,an}

  
  

  Then CumulativeSum

  • would produce:
    
    

    {a1, a1+a2, a1+a2+a3, ... , a1+a2+a3+...+an}

    
    

    Then the students could do the following: Create a slider for an integer n, then:

    
    

    L1=Sequence[n]

    L2=Sequence[1/k^2,k,1,n]

    L3=CumulativeSum[L2]

    Zip[(A,B),A,L1,B,L3]

    
    

    And they would have a plot of the sequence of partial sums with ease, which they could then use to examine the convergence, divergence of infinite series.

    
    

    Now, I know there are ways that this can already be done. For example.

    
    

    L1=Sequence[n]

    L2=Sequence[1/k^2,k,1,n]

    L3=Sequence[Sum[L2,m],m,1,n]

    Zip[(A,B),A,L1,B,L3]

    
    

    But that is much harder for students who are just being introduced to Geogebra to understand, especially when the series go from say n=5 to infinity.

    
    

    Not sure if I am making the suggestion in the right place.

    
    

    D.