1. 4-7 Arithmetic Sequences

2. Sequence: is an ordered list of numbers that often form a pattern Term of a Sequence: What each number in the list is called

3. Arithmetic Sequence: The difference between consecutive terms is constant This difference is called the Common Difference

4. Problem 1 and 2: Extending Sequences and Identifying Arithmetic Sequences
Tell whether the sequence is arithmetic. If it is find the common difference and find the next three terms. 3, 8, 13, 18, …

5. Tell whether the sequence is arithmetic
Tell whether the sequence is arithmetic. If it is find the common difference and find the next three terms. 6, 9, 13, 17

6. Tell whether the sequence is arithmetic
Tell whether the sequence is arithmetic. If it is find the common difference and find the next three terms. 8, 15, 22, 30

7. Tell whether the sequence is arithmetic
Tell whether the sequence is arithmetic. If it is find the common difference and find the next three terms. 10, 4, –2, –8

8. Problem 3: Writing a Recursive Formula
𝐴 𝑛 =𝑡ℎ𝑒 𝑓𝑖𝑟𝑠𝑡 𝑡𝑒𝑟𝑚 𝑖𝑛 𝑡ℎ𝑒 𝑠𝑒𝑞𝑢𝑒𝑛𝑐𝑒
𝐴 𝑛 =𝐴 𝑛−1 +𝑐𝑜𝑚𝑚𝑜𝑛 𝑑𝑖𝑓𝑓𝑒𝑟𝑒𝑛𝑐𝑒

9. Write a recursive formula for the arithmetic sequence 70, 77, 84, 91, …

10. Write a recursive formula for the arithmetic sequence 97, 88, 79, 70, …

11. Problem 4: Writing an Explicit Formula
The common difference of the sequence
The 1st term of the sequence

12. Write an explicit formula for the arithmetic sequence 3, 7, 11, 15, …

13. Write an explicit formula for the arithmetic sequence 3, −2, −7, −12, …