GEOMETRIC PROGRESSION
Analysis
 
3. DEFINING GEOMETRIC PROGRESSION

A geometric progression could be defined as a sequence of numbers where the quotient (or common ratio) of any two consecutive terms is always the same.


Therefore, each term is obtained by multiplying the preceding term by a constant multiple (common ratio).
4.- In this window you can form geometric progressions by just indicating the first term and the common ratio.

5.- Form five progression. Make sure that the first term is different in each example and that the common ratio is positive and greater than 1 in some cases, positive but less than 1 in others and negative in others.

6.- Write down the first five terms and the 10th, 20th and 50th term in each sequence in your exercise book.

You can change the value of n with the arrows or by writing in the new value and pressing the Enter key.

7.- Choose one of your progressions and try to find a formula which allows you to obtain any term by knowing its position in the sequence (n).

an =

8.- Now try to do the same for the other four progressions.
   
       
           
  Juan Madrigal Muga
 
Spanish Ministry of Education. Year 2002
 
 

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