# Sequences

NUMB3RS shared this question 4 years ago

Hi,

I would like to add the terms of a series on at a time. I am introducing the area under the curve for integration and I have created the file attached. I want the following:

for: n=1, Area = 0.6

n=2, Area = 0.6+0.81

n=2, Area = 0.6+0.81+1.07

.

.

.

n=10, Area = 0.6+0.81+1.07+1.38+1.75+. . . +4.41.

How can I do that? 1

Sequence(Sum(Areas, k), k, 1, Length(Areas)) 1

Hi mathmagic,

Thanks for your help but the idea is to show the area of each rectangle as the number of rectangles increase.

i.e. If the number of rectangles =1 then: Area=0.6

if the number of rectangles = 2, then: Area=0.6+0.81

If the number of rectangles = 3, then: Area=0.6+0.81+1.07

and so on until: If the number of rectangles=10, then: Area = 0.6+0.81+1.07+1.38+1.75+. . . +4.41.

How do I do to create the series "Area = 0.6+0.81+1.07+1.38+1.75+. . . +4.41" by adding one term (area) at a time?

Thank you,

Jose 1

Hi mathmagic,

I've been doing all this wrong! . . . I am very sorry.

What I really want is to show the series for the sum of the areas by adding the area of each rectangle as the number of them increases.

i.e. If the number of rectangles = 1: Area = 6

If the number of rectangles = 2: Area = 3+10

If the number of rectangles = 3: Area = 2+5+10

If the number of rectangles = 4: Area = 1.5+3.05+5.44+8.67

and so on until, If the number of rectangles = 10: Area = 0.6+0.81+1.07+ . . . +3.77+4.41

How could I create the full series "Area = 0.6+0.81+1.07+ . . . +3.77+4.41" by adding the area of the rectangles one at a time?

Thank you,

Jose 1

Maybe you can find your answer on the example there: Integralfläche reagiert nicht auf sich ändernde Parameter? 1

Thanks Loco, I used some of the ideas from the applet you sent me ... it helped me a lot.  1

mathmagic 1  1

something like this?

see the three last created objects

Files: foro.ggb 1

Thanks mathmagic, your suggestions helped me greatly. Another question; can we make the feature shown in the picture dynamic i.e. insert a variable in there? 1

I do not know command or JS for this

perhaps you must create your own virtual Axis for this 1

Thanks mathmagic, I will try :) 