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Number sequences

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Number sequences

This presentation is a helping guide for students who have just begun the topic of Number Sequences and Patterns.

This presentation is a helping guide for students who have just begun the topic of Number Sequences and Patterns.

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Number sequences

1. 1. TYPES OF NUMBER PATTERNS IN MATH • ARITHMETIC SEQUENCE • GEOMETRIC SEQUENCE • TRIANGULAR NUMBERS • SQUARE NUMBERS • CUBE NUMBERS • FIBONACCI SEQUENCE
2. 2. • 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
3. 3. NUMBER TERMS AND SEQUENCES
4. 4. FIBONACCI SEQUENCE IN NATURE
5. 5. Number Sequence s observed in Daily- life
6. 6. 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
7. 7. 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
8. 8. 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
9. 9. 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
10. 10. 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
11. 11. Reference Material