Week 4-Pre Calc

This week was filled with many new and challenging lessons. We went over Absolute Values, Roots and Radicals, Adding and subtracting Radicals, Multiplying and dividing Radicals, and solving Radical equations. From all these lessons the one I found the most challenging was Multiplying and dividing Radicals.

Generally the idea is to:

1. Multiply coefficients

2. Multiply radicands

3. Simplify

one questin that I struggled with INV the beginning of learning multiplication was

2\sqrt{5}(3\sqrt{45}-8\sqrt{5}+\sqrt{20})

I have to admit, when I first saw the question I had no idea where to start.

I soon learned that you need to multiple the Radical that’s on the outside of the bracket (2\sqrt{5} and multiply it with the Radicals inside the bracket.

after this step is complete you should have: 6\sqrt{5×45}-16\sqrt{5×5}+2(10)

From the last equation all you need to do is solve everything inside the square root sign so you will end up with: 6(15)-16(5)+2(10)

Then all you need to do for the rest of the equation is solve so you should get:

90-80+20

=30

This was one of the first equations that we learned when started our multiply and dividing Radicals lesson. At the start it really confused me and looked very intimmidating, now when I see these types of questions I have no worries becasue I know how to solve them.

Week 2- Pre Calc 11

This week we had our Arithmetic and Geometric sequences and series test. One thing that I was still unsure about before the test was finding “r” when you are given t_1 and S_\infty Once I asked questions to my classmates to get a better understanding I understood how to do it.

Line thig that I have really enjoyed so far is how we can rely on the people in our table group to help us when we need it. I was really struggling with this question and when I asked for help with my table group everyone was happy to help. With the he’ll hey gave me I now understand how to do questions like these and I also know that I can count on them for any other questions I may have.

 

 

 

Week 2- Pre Calc 11 (arithmetic and geometric sequences and series

This past week we have learned many new things about geometric and arithmetic sequences and series. One thing that I have struggled with throughout the week has finding a term when you don’t have the difference.


Steps: The first thing you need to do is find the difference (d)

1. First I wrote out my formula

2. I then substituted the numbers in where they should be. I got “x” by subtracting the subscripts under “t” (8-3=5)

3. I then solved, trying to isolate the variable (d). I had to move 4 to the other side so I had to subtract it from one side which means I had to do the same to the other side so I did 34-4=30

4. Once I had 30 = 5d, I just had to divide 30 by 5 and 5d by 5 to isolate “d”

5. Once I did this I got 6=d which means I have my difference

Once I have my difference I can use it to solve and find any other term in the sequence