## Precalc 11 – Week 3

This week in Precalc we started unit 2.  We learned about an absolute value of a real number which is how far a number is from 0 and positive numbers always equal a positive number.

Ex :

|2| = 2

|-4|= 4

We also learned how to simplify radical expressions which was a good reminder on knowing how to simplify entire and mixed radicals.

Ex :

$\sqrt[3]{24x^3y^4}$

$2xy \sqrt[3]{3y}$

x and y are real numbers

## precalc 11 Week 2

This week in Precalc 11 we extended our unit to geometric sequences and series.  I learned more formulas and how to find the sum of a term.  we also learned infinite and finite geometric series which introduced the common ratio.

I discovered how to use the infinite geometric series formula to isolate the common ratio.  Multiplying each side by $1-r$ was not something I thought of.

## precalc week 2 arithmetic sequence with latex

arithmetic sequeunce : 6, 12, 18, 24, 30

$t_{n=}$ $t_{1+}$ $d$ $(n-1)$

$t_{50=}$ $6+6 (50-1)$

$t_{50=}$ $6 + 300 - 6$

$t_{50=300}$

FInd Tn :

$t_{n=}$ $t_{1+d}$ $(n-1)$

$t_{n=}$ $6 + 6 (n-1)$

$t_{n=}$ $6 + 6n - 6$

$t_{n=6n}$