Month: September 2018

Week 4 – Precalc 11

ximena

During week 4, I learned how to add and subtract radical expressions. First, you have to make sure that all the terms are in the simplest form, then look for any like terms. If there are like terms, you add or subtract the coefficients together and leave the radicand. If there are no like terms, you cannot add or subtract them.

 

Example:

4\sqrt[]{7} + 13\sqrt[]{7}

= 17\sqrt[]{7}

 

(2\sqrt[]{5} – 6\sqrt[]{5}) + (9\sqrt[]{3} + 3\sqrt[]{3})

= -4\sqrt[]{5} + 12\sqrt[]{3}

Week 3 – Precalc 11

ximena

During week 3, I learned about the Absolute Value of a Real Number. The absolute value of a real number is the principal square root of its square or its distance from zero on a number line. The principal square root is the positive square root. The two lines “||” before and after the numbers represent absolute value.

Example: |4 – 7|  =  |-3|  =  3

*If there is a negative number outside of the “paratheses”, the answer can be negative. If there is no negative number in front of it, it has to be positive.

 

Week 2 – Precalc 11

ximena

During week 2, I learned about geometric sequences. In geometric sequences, the same number has to be multiplied into each term. The number that is being multiplied is called the common ratio. I learned how to find t_n, the ratio, or just n.

Ex. 4, 8, 16, 32, 64, …              Common Ratio = 2

Find t_{16}

t_n = a(r)^{n-1}

t_{16} = 4 (2)^{16-1}

t_{16} = 4 (32,768)

t_{16} = 131,072

Weel 1 – Precalc 11

ximena

During week 1, I learned about arithmetic sequences. In arithmetic sequences, the same number has to be added or subtracted from the terms every time. The number that is being added or subtracted is called the common difference.

 

Ex: 6, 13, 20, 27, 34, …          Common Difference = +7

Beginning at the first term (6) you add 7 every time.