1. Warm-Up#

2. Homework
Pattern Recognition worksheet

3. Lesson on Patterns and Sequences

5. Arithmetic Sequence
It is a sequence that goes from one term to the next term by always adding or subtracting to the same value Example:

6. Common difference (notation= d)
It is the difference between each number in an arithmetic sequence

7. Geometric Sequence
It is a sequence that goes from one term to the next by always multiplying or dividing by the same value Example:

8. Common ratio (notation = r)
It is the ratio of a term to the previous term in a geometric sequence.

9. Sequence So what is the 0th term for this example? Explain.
A sequence always start with the 1st term.
Example: {3, 5, 7, 9…}
So what is the 0th term for this example? Explain.
1st term
2nd term

10. Practice Problems
{24, 27, 30, …}
(56, 66, 76, …}
{4, 16, 64…}
{50, 25, 12.5, …}

11. Arithmetic Sequence
If the sequence is an arithmetic sequence, then it is a linear function with an equation of y = mx + b

12. Geometric Sequence
If the sequence is a geometric sequence, then it is an exponential function with an equation of 𝒚=𝒂𝒃 𝒙