GRAPHS OF SEQUENCES
Analysis
 
3. GRAPHS OF SEQUENCES ON THE REAL LINE

Sequences can also be represented on the real line by drawing one point for each term in the sequence.

5.- Look carefully at how the even numbers are represented on the line.

6.- Find the following terms on the line: 7th, 20th, 900th, 1,750th and 39,555th.

7.- Use this method to draw the graph of the sequence of even numbers in your exercise book.

In order to see the graphs of the terms clearly you can modify:

a) The parameter n which represents the term indicated (in red).
b) The parameter 'elements' which indicates the number of terms represented on the line from n onwards (in white).
c)The zoom and axes parameters in order to see other parts of the line.
4. USING THE GENERAL TERM TO DRAW GRAPHS ON THE REAL LINE 

In order to draw a graph of a sequence on a straight line from its general term we just need to find the value of its terms and plot the respective points, after choosing a suitable scale.

8.- Draw the graphs of each of the sequences in the window in your exercise book.
  • Use sequence to select one of them.
  • Look carefully at the first few terms on the graph.
  • Change the scale and Ox to see the graph clearly.
  • Write down the values of some of the terms e.g. 5th, 50th, 500th etc.
  • Describe the shape of each graph.

The parameter 'decimals' indicates to how many decimal places the terms in the sequence are written.
       
           
  Juan Madrigal Muga
 
Spanish Ministry of Education. Year 2002
 
 

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