After working with patterns and attempting to organize what we see and act on it, we are formalizing our experience through a couple of weeks of analyzing arithmetic and geometric sequences both in their explicit and recursive form. This formalization has a great deal of notation to adjust to, but is ultimately just a shorthand way of writing how the pattern works.

*Can you write an explicit and recursive equations for the sequences above?*

All of our homework for the next three weeks will be from

*It's All Connected*and while I cannot upload the file here, if you are a student I can email you the file if you lose your it!

### I have embedded three videos to help those of you who want to review some of the big concepts at home:

#### 1. Here is a video from Khan Academy on explicit and recursive definitions

**Explicit and recursive definitions of sequences**:

#### 2. Writing Recursive Formulas from Arithmetic Sequences

#### 3. Writing Recursive Formulas form Geometric Sequences

Online Practice and Videos from Khan Academy available here: https://www.khanacademy.org/math/trigonometry/seq_induction/seq_and_series/v/explicit-and-recursive-definitions-of-sequences