M10AL–Ia–1 Definition of Sequence.ppt for Grade 10 Learners

Lesson on Definition of Sequence

1. JANRIE M. RAGUINE
(Teacher)

2. Objectives:

3. Objectives:
Attheendofthelesson,thestudents
shouldbeableto:

4. Objectives:
Attheendofthelesson,thestudents
shouldbeableto:
1. Define and illustrate a sequence;

5. Objectives:
Attheendofthelesson,thestudents
shouldbeableto:
1. Define and illustrate a sequence;
2. Determine the simple rule that defines a
sequence where terms are listed; and

6. Objectives:
Attheendofthelesson,thestudents
shouldbeableto:
1. Define and illustrate a sequence;
2. Determine the simple rule that defines a
sequence where terms are listed; and
3. List the next terms as indicated in a
sequence.

7. DEFINITION OF
SEQUENCE

8. Inthislesson,wewillworkwith
patterns.
Recognizingandextending
patternsareimportantskills
neededforlearningdifferent
sequences.
Introduction:

9. Activity 1:
Study the set of numbers below.
1. 5, 10, 15, 20, 25, 30
2. 2, 4, 6, 8, 10, 12
3. 1, 3, 5, 7, 9, 11, 13
4. 0.1, 0.5, 0.9, 1.3, 1.7

10. Guide Questions:

11. 1. What have you noticed from the given set
of numbers?
Guide Questions:

12. 1. What have you noticed from the given set
of numbers?
2. Can you determine the simple rule that
defines the given sets of numbers?
Guide Questions:

13. 1. What have you noticed from the given set
of numbers?
2. Can you determine the simple rule that
defines the given sets of numbers?
3. Do all the numbers have patterns?
Guide Questions:

14. Ithasbeennoticedfromthegiven
activitythateachoftheitemsgiven
havetheirrespectivepattern.This
patternissaidtobethesimplerule
thatdefinesthesequence.Setof
numberslikethisthatformedapattern
iscalledasequence.
Note:

15. Definition:
What is a
Sequence?

16. Definition:
Sequence

17. Definition:
Sequence
-a sequence is an ordered set
of numbers that follows a
definite rule.

18. Activity 2:
Determine the pattern in each
sequence and give the next terms as
indicated.
1. -9, -5, -1, 3, 7, … (4 terms)
2. 7,15/2 , 8,17/2 , … (3 terms)
3. 2y
2
, 4y
4
, 12y
6
, 48y
8
, 240y
10
, …
(3 terms)

19. Evaluation:
Generate the next 5 terms in each of the
following sequences.
1. 7, 14, 21, …
2. 1, 4, 9, …
3. 5, 10, 15, 20, …
4. y, 2y, 4y, 7y, …
5. 6x, 12x
2
, 24x
3
, …

20. Thank You!
JANRIE M. RAGUINE