Arithmetic Sequences:

We started off the year and this unit by learning what and Arithmetic Sequence is. It is a sequence of numbers that consistently increases or decreases by the same amount each time, it almost never ends.

Formula used to find a term in an arithmetic sequence:

We always need at least 2 parts of the question in order to find the answer: t1, n or d.

Ex: 1,3,5,7,9…

Arithmetic Series:

Arithmetic Series has the sane concept as sequences but now you are adding them all together to find the sum.

Formula used:

1+3+5+7+9…

Geometric Sequences:

Instead if the sequences going up or down like in arithmetic, a geometric sequence we are multiplying or diving by the same ratio every time.

Formula:

2,4,8,16,32…

Geometric Series:

Instead of going up or down we are adding and finding the sum

Formula:

Infinite Geometric series:

means that it is never ending. If it is converging we can use the formula to find the sum if it diverges and its a whole number we cannot

Formula: