I learned how standard form quadratic functions can be interpreted from the equation y=a(x-p)²+q. The “a” is the shape of the graph. “a” value can tell you skinner the parabola becomes. the wider the parabola becomes. If the “a” have “-” that parabola will go down, ì there have “+” it will go up. Big or small parabola depends on how big of the number of “a”.

Math 11 Sequences and Series Blog Post

In the first day of Math class, we study about Arithmetic sequences. 

This is simple patterns like these ones:

here is the term, each term are being counted and it has relevancy keeping the numbers like the picture

Ex: T1=2 (t1 is block 1), T2=5(T2 is block 2), T3=8(block 3)……. So you can see the term is bigger so we know that the sequences of this term are “PLUS”. it mean T1=1, T2=5 so if you want to have T2 you need to plus number before T2 with 3: T2=T1 + 3=5

T3=T2 + 3=8. with the above comments, we have this formula:

that is what we call Arithmetic sequences

Second units are Arithmetic Series.

Is the term of an arithmetic sequence is added, the result

for example

3,5,7,9,11 —–> Arithmetic sequences

3+5+7+9+11 —–> Arithmetic series

We have the formula:

Third units are Geometric Sequences

It is a sequences in which each term after the first obtained by multiplying the preceding term by a fixed nonzero real number called common ratio. The sequences discussed in the last slide

We have the formula:


fourth units are Infinite Geometric Series


The formula for the sum of a geometric series is When r is less then 1 we use this equivalent equation