# Month: February 2019

## Pre-Calc 11 Week #4

This week in pre-calc 11 we learned how to subtract and add radicals
the first step is to simplify the radical like example $sqrt {4}$ would be 2
no matter if the radical is mixed or entire for radicand must be the same
Example: You can’t add $sqrt (2)$ and $sqrt (3)$
In this example I show how when the radicand is the same you can add them $sqrt (2)$ + $sqrt (2)$ = $sqrt (4)$ which equals 2 When the radicand is not the same you have to try to use prime factorization to give the radicand a coefficient which hopefully ends in a radical that has the same radicand Remember that radicals without a coefficient have a hidden coefficient of 1.

## Pre-Calc 11 Week #3

This week we learned about absolute values which is the non-negative value of a number or variable
In this example i show how 2 and -2 have the same absolute value of 2 This is true because the absolute value of -2 can’t be a negative, so it is also 2

There can also be absolute values of variables in which variables turn positive.

In this next example I will show how to do equations that include absolute values, where you have to use the equation as if they’re in brackets before putting whats not in the absolute value into the question after ## Pre-Calc 11 Week #2

This week I learned about finite geometric series and how to find the general term ( $t_n$) along with how to find the sum of whatever the term number is.

To find $t_n$, you need $t_1$ and the common ratio

In this example I’m looking for $t_{13}$ with a $t_1$ of 5 and a common ratio of 2 And in this next example I show how to find $S_{13}$ with the same numbers. ## Pre-Calc 11 Week #1

This week in Pre-Calc 11 we learned how to use the patterns in arithmetic sequences and series to find a number later in the series/sequence.

Basically if $t_1$ is 4 and $t_2$ is 8 we can tell the common difference is +4 using the common difference we can find any number after.

In this example I’ll show how to get $t_{35}$ using the information found 