This week in class we learn how to make a number into an absolute value. In short, it is finding how far away from 0 a number is on a number line. when you are asked to find an entire radical you will see a number with two lines on either side of the number.
Eg. l-45l = 45
Eg. l32l = 32
If there is a minus symbol on the outside it means the radical will be negative.
Eg. -l-28l = -28
This week the thing that I learned in class that I found the most interesting was how to find the sum of an infinite geometric series. For a geometric series to be infinite the common ratio (r) has to be greater than -1 and less than 1 (Ex. 0.89).
The equation to find the sum of an infinite geometric series you have to use the following equation
if we had a series with the 1st term being 3 and the difference being 0.72 then the equation would look like the following.
This week I learned a lot of new things but one that stood out was finding out how to add up all the numbers in a arithmetic sequence. The formula we use is below.
In a sequence such as 1,3,5,7,9 to find you would have to use the above equation as well as and equation to find the solution is as follows in the picture of my work.
Last term + First term x number of terms .