The document provides classroom rules for students to follow, including listening when the teacher is talking, raising your hand to speak, following instructions, wearing a mask, and observing social distancing. It then discusses objectives, definitions, and examples related to sequences, such as the definition of a term, nth term, and coefficient. Examples of sequence problems and their solutions are also provided.

3. MAGANDANG BUHAY !
MABUTING ASAL!

4. Classroom Rules
Listen when your
teacher is talking.

5. Raise your hand to
speak to the class.

6. Always follow
instructions and
participate actively
in class discussion.

7. Wear your mask
and observe social
distancing.

8. Let’s see if you can still remember
our previous topics.

12. OBJECTIVES

14. W _ _ T _ _ G
WRITING

15. R _ L _ S
RULES

16. F_ R
FOR

17. S _ Q _ _ N C _ S
SEQUENCES

18. SEQUENCES
WRITING
RULES
FOR

21. A sequence is a set of numbers written in a special
order by the application of a definite rule.
Each number in the sequence is called a term.
To formulate the rule in finding the nth term of a
sequence we can look for a pattern, guess and
check, or work backwards.
Numbers, figures, objects, or symbols arranged
in a definite order or sequence is often
encountered in mathematics.

22. Sequences
Definitions:
Term A term is a number and / or variable(s) connected with
x and / or ÷ separated from anther term by an ‘+’ or ‘-’ operation.
Sequence A list of numbers or diagrams that are connected in some way.
nth term
The ‘general’ term used to describe a sequence, e.g. 3n + 1
If you are given the nth term you can find the terms of a
sequence.
CoefficientThe number preceding a letter – the number that is used to
multiply a letter. e.g. 2n the coefficient is 2

24. tekhnologic
JASMIN
VERNILYN
SPIN

25. Sequence Next three terms
a. y, 𝒚𝟐
, 𝒚𝟑
, 𝒚𝟒
, …
b. a, 2b, 3c, 4d, …
c. a, a+b, a + 2b, …
d. 7a, 5a, 3a, …

26. Sequence Next three terms
a. y, 𝒚𝟐
, 𝒚𝟑
, 𝒚𝟒
, …
b. a, 2b, 3c, 4d, …
c. a, a+b, a + 2b, …
d. 7a, 5a, 3a, …
𝒚5
,𝒚6
,𝒚7
5e,6f,7g
a+3b,a+4b,a+5b
a,-a,-3a

31. Give thoughtful feedback
Respect others opinion
On task all the time
Use soft voices
Participate actively
Stay with your group.
Group Rules

33. 5 4 3
Correctness
of the answer
All answers are
correct and follows
the task properly.
There are 1-2
incorrect answers
and did not follow
the task properly.
Most of the answers
are incorrect and
not following all the
task.
Promptness
First group to answer
before the time.
Second group to
answer on time.
Third group to
answer after the
time.
Cleanliness No erasure at all. There is 1-2
erasures.
A lot of erasures.
Teamwork
All members are
participative
1-2 members didn’t
participate.
Most of the
members are not
participative.

38. ADD
LOVE
SUBTRACT
HATE
MULTIPLY
PREPARE TO DIVIDE AND

43. Read and solve the problem carefully.
Show your complete solution to the problem.
Assignment:

45. What is the nth term rule of
the sequence 2, 4, 6, 8, 10?
A. 2n + 1
B. N + 1
C. 2n
D. 𝑛2

46. What is the next letter
A, D, G, J,___?
A. M
B. L
C. K
D. N

47. It is a set of numbers written in a
special order by the application
of a definite rule.
A. Term
B. Rules
C. Pattern
D. Sequences

48. What is the next figure

49. What are the missing numbers in
the sequence? 7, 12, ___, 37,__
A. 15, 40
B. 23, 45
C. 21, 47
D. 22, 57

50. What are the next three
combination of numbers and
letters 2a, 3b, 4c, … ?
A. 5a, 6b, 7c
B. 2d, 3e, 4f
C. 5d, 6e, 7f
D. 2f, 3e, 4d

54. tekhnologic
A. B.
C. D.
>

55. tekhnologic
A. B.
C. D.
What is the name of the figure below?
>

56. tekhnologic
A. B.
C. D.
Which figure is appropriate in the
name CYLINDER?
>

57. Sequences
The term to term rule is the rule that connects numbers in a sequence:
e.g. Find the term to term rule for this sequence:
5, 7, 9, 11, ...
The dots show that the sequence continues
Each term (consecutive number in the sequence) is 2 more than the
one before it, so the rule is:
+2

58. Sequences
To write the terms of a sequence given the nth term
Given the expression: 2n + 3 write the first 5 terms
In this expression the letter n represents the term number and thus
if we substitute the term number for the letter n we will find value
that particular term.
The first 5 terms of the sequence will be using values for n of
1, 2, 3, 4 and 5
term 1
2 x 1 + 3
5
term 2
2 x 2 + 3
7
term 3
2 x 3 + 3
9
term 4
2 x 4 + 3
11
term 5
2 x 5 + 3
13

59. Sequences
Look at the nth term
n +2 and the sequence it generates: 3, 4, 5, 6, 7
Find the term to term rule: +1
Look at the nth term
2n +5 and the sequence it generates:
7, 9, 11, 13, 15
Find the term to term rule:
+2
You will notice that the coefficient in each expression is the
term to term rule: n +2 rule +1
The coefficient of n is 1 because if we multiply n by 1 it is still n
2n +5 rule +2

61. 7,9,11,13,15 1,4,7,10,13
8,13,18,23,28
3,6,11,18,27 6,2,-2,-6,-8

62. 3n+1
4n+2
4 7 10 13
6 10 14 18

63. Correct!

64. Oh, No!! Try Again!