This document provides an overview of patterns and sequences. It defines a sequence as a string of organized objects following a criteria that can be ordered or established by a pattern. A pattern is a form or model for repetition. Examples of sequences are provided, along with explanations of terms and how to find subsequent terms. Students are given examples of writing the first five terms of sequences based on their general nth term formulas. References for the material are listed.

1. PRAYER

4. PATTERNS AND
SEQUENCES
FIRST QUARTER
WEEK 1 LESSION
M10AL-la-1

5. OBJECTIVES
• GENERATE AND DESCRIBE PATTERNS
• FIND THE NEXT FEW TERMS OF A SEQUENCE
• FIND THE GENERAL OR THE nth TERM OF A SEQUENCE

6. WHAT’S THE DIFFERENCE BETWEEN
PATTERN AND SEQUENCE?
• SEQUENCE IS A STRING OF ORGANIZED OBJECTS FOLLOWING A CRITERIA
WHICH CAN BE:
*ORDERED (INCREASING OR DECREASING)
*ESTABLISHED BY A PATTERN
• PATTERN IT IS A FORM OR MODEL PROPOSED FOR IMITATION (REPETITION).

8. SEQUENCE AND PATTERNS
• SEQUENCE IS AN ARRANGEMENT OF TWO OR MORE THINGS (USUALLY
NUMBERS) IN SUCCESSIVE ORDER THAT FOLLOWS A CERTAIN RULE.
EXAMPLE: 1, 5, 9, 13, 17, 21, . . . (SEQUENCE)
ADD 4 TO GET THE NEXT NUMBER (PATTERN)
0, 3, 6, 9, 12, . . .
WHAT IS THE 10TH NUMBER IN THE SEQUENCE?

9. SEQUENCE
• EACH NUMBER IN THE SEQUENCE ARE CALLED TERMS, AN ELEMENT, OR A
MEMBER
• TERMS ARE DENOTED AS: 𝑎1, 𝑎2, 𝑎3, 𝑎4, . . . , 𝑎𝑛
EXAMPLE:
1) 1, 4, 7, 10, 13, . . . WHAT IS THE 9TH TERM IN THE SEQUENCE?
2) 2, 6, 18, 54, 162, . . . WHAT IS THE 7TH TERM IN THE SEQUENCE?
3) 2n + 3 WHAT ARE THE FIRST FIVE TERMS OF THE SEQUENCE?

10. 64 54
A
D
U N E R S T
N D I N G
UNDERSTANDING

11. SEATWORK # 1
• WRITE THE FIRST FIVE TERMS OF THE SEQUENCE GIVEN BY THE nth TERM.
1) 𝑎𝑛= n + 4
2) 𝑎𝑛= 2n – 1
3) 𝑎𝑛 = 12 – 3n
4)𝑎𝑛 = 3n
5) 𝑎𝑛= (-2)𝑛

12. REFERENCES
• E-MATH BOOK BY ORENCE
• MAKATI MODULE
PREPARED BY: CHRISTINE ORQUIA, LPT 1