This document discusses different types of number patterns in math such as arithmetic, geometric, triangular, square, and cube sequences. It also discusses Fibonacci sequences. Examples are provided of number sequences observed in daily life and nature. Practice questions are included about writing the next terms of sequences and finding the formula for the nth term. An example word problem is provided about finding the number of handshakes at a party in terms of the number of people.

2. TYPES OF NUMBER PATTERNS IN
MATH
• ARITHMETIC SEQUENCE
• GEOMETRIC SEQUENCE
• TRIANGULAR NUMBERS
• SQUARE NUMBERS
• CUBE NUMBERS
• FIBONACCI SEQUENCE

3. • A number sequence is a
list of numbers
• The numbers in this
sequence are known as
the terms
• These terms are
governed by a specific
rule

4. NUMBER TERMS AND SEQUENCES

7. FIBONACCI
SEQUENCE
IN NATURE

9. Number
Sequence
s
observed
in Daily-
life

10. EXEMPLARY PRACTICE QUESTIONS
• WRITE DOWN THE NEXT 2 TERMS OF EACH OF THE
FOLLOWING SEQUENCES.
a. 98, 89, 80, 71, 62, …
b. -2, 0, 4, 10, 18, …
c. 1, 9, 25, 49, 81, …
Question # 1
59, 50
121,
199
28, 40

11. EXEMPLARY PRACTICE QUESTIONS
• CONSIDER THE SEQUENCE 2, 1, 3, 4, 7, …
i. WRITE DOWN THE NEXT 2 TERMS OF THE SEQUENCE.
11, 18, …
Question # 2

12. EXEMPLARY PRACTICE QUESTIONS
• CONSIDER THE SEQUENCE 9, 16, 25, 36, 49, …
i. WRITE DOWN THE NEXT 2 TERMS OF THE SEQUENCE.
64, 81, …
ii. FIND IN TERMS OF n, A FORMULA FOR THE nth TERM OF THE
SEQUENCE.
 Tn= (n + 2)2
Question # 3

13. EXEMPLARY PRACTICE QUESTIONS
• CONSIDER THE SEQUENCE 44, 41, 38, 35, 32, …
i. WRITE DOWN THE NEXT 2 TERMS OF THE SEQUENCE.
29, 26, …
Question # 4

14. EXEMPLARY WORD PROBLEM
• There are n people at a party. If each person shakes hand with each of
the other people only once, find an expression, in terms of n, for the
number of handshakes that will take place.
 Number of handshakes that will take place= ½ n(n – 1)
Question # 5

15. Reference
Material