Grade 10 Q1 Sequences: Harmonic Fibonacci.pptx

A PPT Presentation for Type of Sequence: Harmonic and Fibonacci Sequence

1. HARMONIC & FIBONACCI SEQUENCE INSPIRED BY LESSON 9

2. GEOMETRIC SERIES Learning Outcomes Define Harmonic and Fibonacci Sequence Solve problems involving Harmonic and Fibonacci Sequence Identify sequence that are geometric.  

3. HARMONIC SEQUENCE – is a sequence such that the reciprocals of terms forms an arithmetic sequence. … … is a HARMONIC SEQUENCE  

4. Solution: Step 1: Find the reciprocals of each term Is the sequence ,   Example 1: Step 2: Check if the reciprocal forms an Arithmetic Sequence

5. Solution: Step 1: Continue the Arithmetic Sequence to form the first 8 terms Given the Arithmetic Sequence -20, -26, -32, -38…Find the first 8 terms of its Harmonic Sequence Example 2: Step 2: Find the reciprocals of each term to form the first 8 terms of the corresponding Harmonic Sequence.

6. FIBONACCI SEQUENCE – is a sequence where its first two terms are either both 1 or 0 and 1, and each term therefore is obtained by the two preceding terms

7. Solution: What is the next five terms of the sequence 1, 1, 2, 3, 5, ___, ___, ___, ___, ____ Example 3: 1, 1, 2, 3, 5, ___, ___, ___, ___, ____ 8 13 21 34 55

8. QUIZ NO. 11 DIRECTION: Give what is asked for each number.