1. Acc. Coordinate Algebra / Geometry A Day 36
Learning Target:
Students can use the recursive formula to find the next term of a sequence.

2. Arithmetic & Geometric Sequences
Recursive Formula

3. Recursive Formula
a formula used to find the next term of a sequence when the previous term is known

4. Recursive Formula for Arithmetic Sequence

5. Ex: The first term is 1 for an = an-1 – 2. Find the next two terms.

6. Recursive Formula for Geometric Sequence

7. Ex: The first term is 320 for an = -1/4 an-1. Find the next two terms.

8. Find the next term and write the recursive rule.y 1 3 2 13 23 4 33 n

9. Find the next term and write the recursive rule.y 1 16 2 40 3
100 4
250 n

10. Find the next term and write the recursive rule.y 1 2 14 3 98 4
686 n

11. Find the next term and write the recursive rule.y 1 19 2 13 3 7 4 n

12. Write the explicit rule and the recursive rule.
a1 = 15 and d = 5

13. Write the explicit rule and the recursive rule.
a1 = 4 and r = 0.2

14. Arithmetic and Geometric Sequences Practice 7 tables
Practice Worksheet
Arithmetic and Geometric Sequences Practice 7 tables

15. Explicit and Recursive Sequences Practice 12 problems
Homework
Explicit and Recursive Sequences Practice
12 problems