Lesson-2---Arithmetic-Sequencefinal.pptx

It is a presentation for grade 10 math lesson.

1. LPO1: Mindful, Self-directed LEARNERS and ROLE MODELS EPO1: Assess and strengthen their own mathematical skills for continued learning and personal fulfillment. I am mindful, self-directed learner and role model, consciously expressing my Faith.

2. Each Paulinian will be able to: ILO 1. Illustrate an arithmetic sequence; and ILO 2. assess and strengthen his/her mathematical skills in determining arithmetic means, nth term of an arithmetic sequence and sum of the terms of a given arithmetic sequence. to understand, address, and resolve issues or problems of their communities   INTENDED LEARNING OUTCOMES:

3. 1) 2, 4, 6, 8, 10 2) 4, 7, 8, -11, 53 3) 1, 2, 5, 19, -4 4) -3, 9, -27, 81 … 5) 1, 2, 5, 6, 7, 9 Determine whether each given is a sequence or not. SEQUENCE NOT SEQUENCE NOT SEQUENCE SEQUENCE NOT SEQUENCE SEQUENCE OR NOT

4. Below are squares formed by match sticks. Count the number of match sticks for each figure and record the results in the table. MATCH STICKS ACTIVITY Number of Squares 1 2 3 4 5 6 7 8 9 10 Number of Matchsticks 25 7 10 13 16 19 22 4 28 31

5. Illustrating Arithmetic Sequence Prepared by: Miss Romalyn DC. Villegas

6. An Arithmetic sequence is a type of sequence where every term is obtained by adding a constant number called the common difference (d). In symbols,   Arithmetic Sequence

7. Thus, the nth term of an arithmetic sequence can be expressed generally as:   Wherein: / =   general term/ the term we need to find =   1 st term =   common difference

8. Let us determine whether each of the following is an arithmetic sequence or not. If the sequence is an arithmetic sequence, give the common difference and the next term.

9. 2, 5, 8, 11, 14 Example # 1 +3 +3 +3 +3 Arithmetic Sequence Common difference (d)= 3

10. 18, 14, 10, 6, 2 Example # 2 +(-4) +(-4) +(-4) +(-4) Arithmetic Sequence Common difference (d)= -4

11. 2, 6, 18, 54, … Example # 3 +4 +12 +36 Not an Arithmetic Sequence

12. -7, -2, 3, 8, 13 Example # 4 +5 +5 +5 +5 Arithmetic Sequence Common difference (d)= 5

13. 1, 3, 6, 10, 15 Example # 5 +2 +3 +4 +5 Not an Arithmetic Sequence

14. 2, -7, -16, -25, … a Example # 6 +(-9) +(-9) +(-9) Arithmetic Sequence Common difference (d) = -9

15. -2, 4, -8, 16, -32 Example # 7 +6 +(-12) +24 +(48) Not an Arithmetic Sequence

16. A company offers Jeffrey a starting annual salary of Php 300,000 with raises of Php 24,000 per year. What will be his salary on the 10 th year? Example word problem:

17. Solution:                           On the 10 th year, his annual salary will be Php 516,000.

18. G ROUP 1 Directions: Using the picture below answer the following questions.