The document discusses arithmetic sequences and patterns. It provides examples of identifying patterns in numbers and objects. Students are asked to determine the next term in various sequences. Key points covered include defining sequences as sets of objects or numbers that follow a pattern. Finite sequences have a last term, while infinite sequences do not end. Terms refer to the individual elements in a sequence.

1. THE
SEQUENCE
1

2. Prepared by:
 Ms.MariaMaitasM.Marasigan
At the end of the lesson, the students will be able to:
1. generate patterns; and
2. illustrate arithmetic sequence.
2

3. Perform the indicated operations.
Prepared by:
 Ms.MariaMaitasM.Marasigan
3
1. 23 + 10 − 3
2. (11 − 3) + (−5 − 2)
4.
3
4
+
5
4
−
1
4
5.
2
5
−
7
4
+
1
10
3. 1.15 − 3.10 + 0.05

4. Perform the indicated operation.
Prepared by:
 Ms.MariaMaitasM.Marasigan
4
1. 23 + 10 − 3
2. (11 − 3) + (−5 − 2)
4.
3
4
+
5
4
−
1
4
5.
2
5
−
7
4
+
1
10
3. 1.15 − 3.10 + 0.05
Ans. 𝟑𝟎
Ans. 𝟏
Ans. −𝟏. 𝟏𝟗
Ans.
7
4
Ans. −
5
4

5. APPLICATION
Saulog Transit Inc. is one of the many bus
transportation companies in the Philippines servicing
routes between Cavite and Metro Manila, Olongapo or
Baguio City.
One day, on its way back to its terminal at Mendez, via
Aguinaldo Highway, one (1) passenger went down at SM
City Bacoor, then, another four (4) passengers went down
to Robinson’s Place Imus, seven (7) passengers went
down to Robinson’s Place Pala-pala and ten (10)
passengers went down to Lourdes Church at Tagaytay.
List down the number of passengers who went down in
each place.
Does it form sequence? If it does, how is the sequence
formed?
5

6. Identify if each picture below shows a pattern or not.
If there is a pattern, determine the next term.
Prepared by:
 Ms.MariaMaitasM.Marasigan
6
1. Bandaritas Answer:
Has a pattern
Green
Blue
Red
Orange
Yellow

7. Identify if each picture below shows a pattern or not.
If there is a pattern, determine the next term.
Prepared by:
 Ms.MariaMaitasM.Marasigan
7
2. Coffee Beans
Answer:
10, 12, 14, ...

8. 7
Identify if each picture below shows a pattern or not.
If there is a pattern, determine the next term.
Prepared by:
 Ms.MariaMaitasM.Marasigan
8
3. Stack of Stones
Answer:
6, 7, 8, ...

9. 7
Identify if the set of numbers below shows a pattern
or not. If there is a pattern, determine the next term.
9
1) 0, 4, 8, 12, 16, ___
2) 4, -1, -6, -11, -16, ___
3) 1, 3, 9, 27, 81, ___
ANS. : 20
ANS. : -21
ANS. : 243
Prepared by:
 Ms.MariaMaitasM.Marasigan

10. Were you able to find patterns and get the next term
in the previous activity?
Prepared by:
 Ms.MariaMaitasM.Marasigan
10
What do we call a set of objects or set of numbers
that shows patterns?
How can we identify a sequence?
How is a finite sequence different from an infinite
sequence?
Answer: YES
Answer: Sequence
Answer: If there is a pattern.
Answer: A finite sequence ends, it has a last
term; while an infinite sequence does not end.

11. SEQUENCE - is a function whose domain is the finite
set {1, 2, 3, 4, . . ., n} or the infinite set {1, 2, 3, . . .}.
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SEQUENCE - is a string of objects, like numbers, that
follow a particular pattern. (www.world.mathigon.org)
Term - is the element or the object in the sequence.
Finite Sequence - is a sequence with countable
terms. It has a last term.
Infinite Sequence - is a sequence whose term does not
end. That is, it is a sequence that does not have a last
term.
Prepared by:
 Ms.MariaMaitasM.Marasigan

12. A.Study the following patterns, then supply the missing
term to complete the sequence.
1) 2, 4, 7, 11, ____ 2) 7, 9, 11, ____, ____, 17, 19
3) 1, 8, 27, 64, 125, ____ 4) 5, 10, 7, 14, 11, 22, 19,___
Prepared by:
 Ms.MariaMaitasM.Marasigan
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B. The table shows the cost of renting the
Cavite Hall at Island Cove Resort and
Leisure Park in Kawit, Cavite, depending
on the number of attendees.
Number
of
Persons
Rental
Cost in
Peso
20 6200
25 6500
30 6800
35 7100
Jose booked the hall for a birthday party
for 40 persons. How much will he pay?