1. Day 1 – Recursive Patterns Notes Part 1
Math 1: Unit 3 - Functions
Day 1 – Recursive Patterns Notes Part 1

2. Warm Up Solve each equation and give a real life example that the equation describes. Be specific and accurate in your description. 1. 7𝑦=28 2. 𝑥 4 =3

3. Recursive Patterns:
Sequence – List of numbers where each term is based on the previous term or a combination of previous terms using a set pattern or rule.
Recursive Formula – Relates each term of a sequence to the term before. In order to find a sequence in the term, the user must find all prior terms in chronological order.

4. NOW – NEXT form –

5. Find the Now-Next Formula:
STA
RT = 5, NEXT = NOW + 5
Ex 2) 32, 16, 8, 4, 2, . . .
Ex 3) 31, 27, 23, 19, ……

6. Ex. 4) Ex. 5) Term Value 1 -52 2 -46 3 -40 4 -34 5 -28 Term Value 1 -3
-12 4 24 5
-48

7. Find the next 3 values, graph the results. Then write the now-next.

8. Find the next 3 values, graph the results
Find the next 3 values, graph the results. Then write the now-next and graph
Ex. 7)

9. Find the next 3 values, graph the results
Find the next 3 values, graph the results. Then write the now-next and graph
Ex. 8)

10. Find the next 3 values, graph the results
Find the next 3 values, graph the results. Then write the now-next and graph
Ex. 9)

11. Find the next 3 values, graph the results
Find the next 3 values, graph the results. Then write the now-next and graph
Ex. 10)