## Week 4 PreCalc 11

This week in PreCalc we learned about solving radical equations. I learned how to take an ugly equation like this one 4= $\sqrt{-2x}$ +3 and simplify it.

Ex: To do so you have to state the restrictions of x(it’s mostly x>=0), then isolate x (if needed). Then you have to get rid of the square root by squaring it, then isolate x again. Then you have an answer. But you must check that it works by doing it again but by replacing x with what number you got and checking the restrictions.

Ex: ## Week 3 PreCalc 11

This week in precalc we learned about simplifying radical expressions, I learned how to change mixed radicals into entire radicals and how to change entire radicals into mixed radicals.

To change a mixed radical(5 $\sqrt{2}$) into entire radicals(\$latex \sqrt{1250}), this is what you need to do To change it from a entire radical to a mixed radical, this is what you do. ## Week 2 Pre Calc 11

This week I learned about Finite geometric series, I learned how to find $t_n$ and I also learned how to find the sum of $t_1$ to $t_n$.

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

So say I was trying to find $t_(15)$, so $t_1$=4 and the common ratio is 3. This is what you would do. Then to find the sum of all the 15 t’s, you would add $t_1$ + $t_2$ + $t_3$ +…etc. But the easier way to do it would be to do this. ## My arithmetic sequence $t_1$ = 3, $t_2$ = 10, $t_3$ = 17, $t_4$ = 24, $t_5$ = 31.

So 3, 10, 17, 24, 31… $t_{50}$? $S_{50}$?

what I would do first is find out what is $t_{50}$. $t_n$= $t_1$+(n-1)d $t_{50}$=3+49(7) $t_{50}$=3+343 $t_{50}$=346

Now I need to find $S_50$. $S_n$= $\frac{n}{2}$( $t_1$+ $t_{50}$) $S_{50}$= $\frac{50}{2}$(3+346) $S_{50}$=25(349) $S_{50}$=8725

So $t_{50}$=346 and $S_{50}$=8725.

## Week 1 Pre Calc 11

This short week we learned about sequences but more importantly we learned how to get whatever number from the sequence.

Basically if $t_1$ was 5, then $t_2$ was 10, and $t_3$ then with what we learned I could find out what was $t_{45}$.

this is how. This is what I learned this past week!