 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 