# Week 3 in Math 11

Week 3 we just get into a new unit about absolute value and radicals, and we learned absolute Value of a real number and simplifying radical expressions. Also we did a test of first unit Sequences and series. The absolute value of a real number a is denoted by. a. and it is the distance from a to the origin 0 on the number line. The absolute value is always positive. Simplifying radical expressions step:  Step 1: Find the prime factorization of the number inside the radical. Step 1: Find the prime factorization of the number inside the radical.  Step 2: Determine the index of the radical. In this case, the index is two because it is a square root, which means we need two of a kind.  Step 3: Move each group of numbers or variables from inside the radical to outside the radical. In this case, the pair of 2’s and 3’s moved outside the radical.  Step 4: Simplify the expressions both inside and outside the radical by multiplying.

# Week 2 in Math 11

This week is the second week in math 11. We learned Geometric Sequences and Geometric Series.  A Geometric Sequence is a sequence in which the ratio of the common terms is equal and a Geometric Series is a series with a constant ratio between successive terms. For example, the series. Also, we learned how to input code in Edblogs for example, $t_{250}$.

# Week 1 – My Arithmetic Sequence

S= $t_{1}+ t_{2}+ t_{3}+ t_{4}$+ ….. $t_1$= 20

Common difference: + 10

What’s the $t_{250}$ and What’s the $S_250$

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Solution:

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* $t_n$= $t_1$+(n-1)d $t_{250}$=20+(250-1)10=2510

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* $t_{1}$=20 $t_{2}$=20+20+(10)=50 $t_{3}$=20+20+(10)+20+(10)+(10)=90 $t_{4}$=20+20+(10)+20+(10)+(10)+20+(10)+(10)+(10)=140

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* $t_{250}$= 20+20+(10)+20+(10)+(10)+20+(10)+(10)+(10)+***

= $\frac{n}-2$ x (20 + 510)

= $\frac{n}-2$ x 530

=56250

In conclusion, $t_250$ = 2510 and $S_250$ = 56250