13-5

Last week we were taught sections from Chapter 13. In 13-5 we learned the sum of an infinite geometric problems. 13-5 is dealing with alot of things such as the following stuff: infinite geometric and repeating decimal and infinite series converage and sequence converage.

The formula for a infinite geometric is sn=ti/1-r

When you want to write a repeating decimal as a faction you do #repeating/lastplace^-1

Examples:

-Find the sum of the infinite geometric series of 9-6+4-
-6/9=-2/3
-4/6=-2/3

Sn=9/1-(-2/3)=27/5 is the answer.


-Write .infinite5 as a faction

5/10-1=5/9 is the answer.


-For what values of x does the following infinite series converage
1+(x-2)+(x-2)^2+(x-2)^3+

x-2/1=x-2

(x-2)^2/x-2=x-2

(x-2)^3/(x-2)^2=x-2

-1+2 +2 +2=

1

Section 13-5 is really easy and not hard at all. If you know the rules and the formulas and know how to do the repeating and whatever else you have to do in section 13-5. This section will be a breeze and easy for you.