grade 10 quarter 1- mathematics

1. SEQUENCE
generates patterns.***

2. PATTERN
Is an ordered set of numbers,
shapes or other math objects,
arranged according to rule.

6. 0, 4, 8, 12
12, 14, 16, 18, 20
20, 18, 16, 14, 12
11, 12, 13, 14, 15
12, 13, 14, 15, 16

7. 0, 4, 8, 12
12, 14, 16, 18, 20
20, 18, 16, 14, 12
11, 12, 13, 14, 15
12, 13, 14, 15, 16

8. SEQUENCE
Is a set of numbers written in
succession. Each element of the
sequence is called term. The first
element is called first term, followed
by the second term, third term and
so on.

9. SEQUENCE
Each term of a sequence is denoted
by where is the term number. For
𝑛
instance, for the first term, for the
second term, for the third term and
so on.

10. EXAMPLE
0, 4, 8, 12, ______
12, 14, 16, 18, 20, ____
20, 18, 16, 14, 12, ____
11, 12, 13, 14, 15, ____
12, 13, 14, 15, 16, ____

11. FINITE AND INFINITE
SEQUENCE

12. FINITE SEQUENCE
If it has a first term and last term.
0, 4, 8, 12
12, 14, 16, 18, 20
20, 18, 16, 14, 12

13. INFINITE SEQUENCE
If it has a first term, but no last
term.
0, 4, 8, 12…
12, 14, 16, 18, 20…
20, 18, 16, 14, 12…

14. RECITATION
1) 1, 2, 4, 8, 16
2) 3, 6, 9, 12, 15
3) 1, 4, 9, 16, …
4) 1, 1.2, 1.4, 1.6, …
5) 2, 4, …, 32,
6) -5, -9, -13, -17, …

15. ACTIVITY 1

16. LISTING THE TERMS OF A
SEQUENCE

17. A sequence can also be described
as a function whose domain is the
finite set {1, 2, 3, … , } or the
𝑛
infinite set {1, 2, 3, … }. This
means that for every value of ,
𝑛
there is only one corresponding
value for .

18. EXAMPLE
1. Write the first four terms of the sequence =
12 − 3n
2. Write the 20th
term of the sequence = 12 −
3n
3. What is the seventh term of the sequence =
− 3?
4. What is the first 5 terms of the sequence =
− 3?

19. ACTIVITY 2

20. QUIZ 1

21. ANSWER
1. A
2. B
3. A
4. C
5. D
6. C
7. A
8. A
9. 2X and 11x
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