# Geometric Progression

• May 7th 2011, 10:57 PM
Punch
Geometric Progression
Using geometric progression, express 0.4131313... as a fraction.
• May 7th 2011, 11:17 PM
mr fantastic
Quote:

Originally Posted by Punch
Using geometric progression, express 0.4131313... as a fraction.

It is the same as 0.4 + 0.0131313.... and you should be able to see a and r for 0.0131313....
• May 7th 2011, 11:29 PM
Punch
Quote:

Originally Posted by mr fantastic
It is the same as 0.4 + 0.0131313.... and you should be able to see a and r for 0.0131313....

yes i see that but i dont understand how i could use it
• May 7th 2011, 11:36 PM
mr fantastic
Quote:

Originally Posted by Punch
yes i see that but i dont understand how i could use it

Are you saying that you cannot find 0.0131313..... as a fraction and then add it to 0.4 = 4/10?
• May 7th 2011, 11:42 PM
Punch
Quote:

Originally Posted by mr fantastic
Are you saying that you cannot find 0.0131313..... as a fraction and then add it to 0.4 = 4/10?

sorry but i dont quite understand how this relates to geometric progression
• May 7th 2011, 11:44 PM
mr fantastic
Quote:

Originally Posted by Punch
sorry but i dont quite understand how this relates to geometric progression

If you have been given this question to do you surley must have been shown how to relate an infinite periodic decimal as an infinite geometric series.

0.0131313... = 0.013 + 0.00013 + 0.0000013 + ..... a and r should be obvious. Go to your class notes or textbook and review the appropriate section of this topic.