The document provides a series of exercises to teach about sequences, which are arrangements of numbers or objects in a particular order. Learners are asked to identify patterns in sequences and supply missing terms to complete sequences. The goal is to build understanding of what defines a sequence and how to determine the next term based on the pattern.

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Identify if each picture below shows a pattern or not. If there is a pattern, put a check
mark (✓) and identify it, otherwise put a cross mark (x).
With Pattern or Without Pattern?
✓
✓
1. Banderitas
2. Coffee Beans
3. Tahong Shells
3. Stack of Stones
✓
✓

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Directions: Complete the pattern generated from the previous
activity.
a. Color of the Banderitas:
Green, Blue, Red, Orange, Yellow, Green, Blue,
Red, Orange, Yellow, _____
b. Number of Coffee beans:
4, 6, 8, _____
Green
10

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c. Tahong shells:
Close, Open, Close, Open,
Open, Close, Open, Open, Open, _____
d. Number of Stack of Stones:
1, 2, 3, 4, 5, _____
f. Dates in the calendar for the month of July 3, 10, 17, 24, _____
Close
6
31

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SLIDESMANIA.COM
The set objects
in the priming
activity are
called sequences.
1. Define sequence.
2. Identify the next term of a
sequence
3. Value accumulated knowledge as
means of new understanding.
Sequences

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SLIDESMANIA.COM
What is a Sequence?
A sequence is an arrangement of
numbers in a particular order.
List of numbers that are in order.
Example; 1, 2, 3, 4 …
3, 5, 7, 9, 11 …

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SLIDESMANIA.COM
What is a Sequence?
A sequence is a function whose
domain is a finite set of positive
integers {1, 2, 3, …, n} or an infinite
set {1, 2, 3, …}. It is a string of
objects, like numbers, that follow a
particular pattern.

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SLIDESMANIA.COM
An element or object in the sequence
is called term.
When the sequence goes on forever it
is called an infinite sequence,
otherwise it is a finite sequence.

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Illustrative Example:
Identify if the set of each object shows a pattern or not then find
the next term.
1. 0, 4, 8, 12, 16, ___
2. 9, 4, -1, -6, -11, ____
3. 1, 3, 9, 27, 81, _____
4. 160, 80, 40, 20,10, ___
20
-16
243
5

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Study the following patterns then supply the missing term
to complete the sequence.
1. Jan, Feb, March, April, May, ___, ____
2. 5, 8, 11, 14, ___, 20, ___...
3. 3, -6, ___, -24, 48, ___ …
4. 1, 4, 9, 16, ___, 36, 49, 64, ___
June July
17 23
12 -92
25 81

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SLIDESMANIA.COM
Guided Questions
● What pattern is shown in every item?
● If the pattern continues in each of the
item, what will be the next item?

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Directions: Study the given sequence, identify the pattern then find the
missing number.
1. 1 3 5 7 9 ____ 13 15 17
2. 0 5 10 ____ 20 25 30 35 40
3. 17 15 13 ____ 9 7 5 3
4. 25 35 45 ___ 65 75
5. 34 44 54 64 ___ 84 94
Find the Number

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SLIDESMANIA.COM
Questions
● What is a sequence?
● What do you call an object or element
in the sequence?

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Directions: Get ½ crosswise and 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, _____