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.
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
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
27.
28.
29.
30.
31. Give thoughtful feedback
Respect others opinion
On task all the time
Use soft voices
Participate actively
Stay with your group.
Group Rules
32.
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.
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
Kapag tayo ay may mabuting asal bibigyan din tayo ng ating panginoon ng magandang buhay.
Is everybody in? Are we having a complete attendance today? Are you all ready for a new lesson to discuss? If yes I think you are all ALIVE, ALERT, AWAKE, AND ENTHUSIASTIC to discover new lessons.
But before that we have our classroom rules to follow to have a harmonious class.
You will only lean if the name and net of solid figure are congruent to the given picture and dab if not.
Who wanted to eat and drink these three? Are these three good for our body? Are they helpful?
Group your selves into four groups yellow, blue, red, and pink. Are you familiar with my name is chicky in tiktok?
You need to follow the actions in the screen actively or else you will answer the given questions.
Yellow will be chicky, blue will be cha-cha, red will be boom boom, and pink will be lala.
WE HAVE OUR 3 OBJECTIVES TO REACH AFTER THE LESSON TO BE DISCUSSED.
LETS SEE IF U CAN GUESS OUR NEW LESSON TODAY. I HAVE DIFFERENT PICTURES AND A STATEMENT that was being flash in the screen ALL YOU NEED TO DO IS TO GUESS AND THINK OF THE WORD for our topic this morning.
I am a verb with ING form. It is the first thing that the children in kindergarten need to know.
TO HAVE A HARMONIOUS CLASS EVERY STUDENTS NEEDS TO FOLLOW. AND EVERYBODY MUST FOLLOW FOR A PEACEFUL LIVING.
I am a PREPOSITION that is part of a speech. With 3 letters, 2 consonants, and 1 vowel in between.
I keep things in order. Arrange things in a special order. Look for the vowel to complete the word.
We will now discuss and learn about how to write rules for sequences
In sequences it can be written in different terms it can be numbers, figures, objects or even colors. Just depend on you how you look for a pattern.
I have here a calendar for the month of may we can find here the different numbers .
But before going through the rules we need to identify first the terms we need in writing rules for sequences.
10 Segments
Do you want to travel? Visit any beautiful places in the Philippines. Here’s the top beautiful places in the Philippines.
Your groups depends on what kind of food you belong.
Ano ang makikita Ninyo mga smiley faces kinakailangan tayo ay masaya lang palagi because our smile and our laughters is the best medicine for a healthy living. Ang sa shapes sa emoji ano ang napansin ninyo? Malaki, mas Malaki at pinakamalaki. Magsimula tayo sa unang natapos.