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Tell if the following sequences illustrate Arithmetic Sequence or not. Circlehape if it illustrates Arithmetic Sequence and emoji " if it does not. If Arithmetic Sequence, find the next three terms. 1. 3, 7, 11, 15 2.9, 5, 1,... 3. 12, 9, 8, 4, 2, . 4. 2 2'10 '10' 10 5. 3.8, 0.9, 0.1, -0.18,

Tell if the following sequences illustrate Arithmetic Sequence or not. Circlehape if it illustrates Arithmetic Sequence and emoji " if it does not. If Arithmetic Sequence, find the next three terms. 1. 3, 7, 11, 15 2.9, 5, 1,... 3. 12, 9, 8, 4, 2, . 4. 2 2'10 '10' 10 5. 3.8, 0.9, 0.1, -0.18,

Algebra and Trigonometry (6th Edition)
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Increasing Arithmetic Sequence Decreasing Arithmetic Sequence Common difference is positive Common difference is negative 6,9, 12, 15, 18 18, 15, 12, 9, 6 Common difference: 3 Common Difference : - 3 In other words, an Arithmetic Sequence is a numerical pattern that increases or decreases at a constant rate called the common difference With this basic idea, you can now illustrate Arithmetic Sequence. Example 3: 3.1 Find the next three terms in the sequence -14, -10, -6, -2, _? Answer: This is an example of Increasing Arithmetic Sequence and the common difference is 4. Therefore, the next three terms are 2, 6,10. 3.2. Find the next four terms of 31, 24, 17, 10,. Answer: This is an example of Decreasing Arithmetic Sequence. The common difference next four terms will be 3, -4, -11, -18. 3.3. Zia planted 28 marigold saplings in the first row of the garden patch, 23 saplings in the 2d row, 18 saplings in the 3" row and so on in an Arithmetic Sequence. What will be the number of saplings in 4", 5" and 6" rows of the garden patch? Answer: In the given problem, the common difference is 5 and it is a Decreasing Arithmetic Sequence. is -7. The Therefore, the number of saplings are 13, 8 and 3. II. LEARNING COMPETENCY: MOST ESSENTIAL LEARNING COMPETENCIES Illustrates an Arithmetic Sequence QUARTER K-12 CG CODE M10AL-Ib-1 1 II. EXERCISES: Activity 1: TELL ME! Tell if the following sequences illustrate Arithmetic Sequence or not. Circle Shape if it illustrates Arithmetic Sequence and emoji " if it does not. If Arithmetic Sequence, find the next three terms. 1. 3, 7, 11, 15 2.9, 5, 1,... 3. 12, 9, 8, 4, 2, . 4. 17 23 2'10 '10' 10 5. 3.8, 0.9, 0.1, -0.18, . #MakeEverylearnerLoveMath | 7
Transcribed Image Text:Increasing Arithmetic Sequence Decreasing Arithmetic Sequence Common difference is positive Common difference is negative 6,9, 12, 15, 18 18, 15, 12, 9, 6 Common difference: 3 Common Difference : - 3 In other words, an Arithmetic Sequence is a numerical pattern that increases or decreases at a constant rate called the common difference With this basic idea, you can now illustrate Arithmetic Sequence. Example 3: 3.1 Find the next three terms in the sequence -14, -10, -6, -2, _? Answer: This is an example of Increasing Arithmetic Sequence and the common difference is 4. Therefore, the next three terms are 2, 6,10. 3.2. Find the next four terms of 31, 24, 17, 10,. Answer: This is an example of Decreasing Arithmetic Sequence. The common difference next four terms will be 3, -4, -11, -18. 3.3. Zia planted 28 marigold saplings in the first row of the garden patch, 23 saplings in the 2d row, 18 saplings in the 3" row and so on in an Arithmetic Sequence. What will be the number of saplings in 4", 5" and 6" rows of the garden patch? Answer: In the given problem, the common difference is 5 and it is a Decreasing Arithmetic Sequence. is -7. The Therefore, the number of saplings are 13, 8 and 3. II. LEARNING COMPETENCY: MOST ESSENTIAL LEARNING COMPETENCIES Illustrates an Arithmetic Sequence QUARTER K-12 CG CODE M10AL-Ib-1 1 II. EXERCISES: Activity 1: TELL ME! Tell if the following sequences illustrate Arithmetic Sequence or not. Circle Shape if it illustrates Arithmetic Sequence and emoji " if it does not. If Arithmetic Sequence, find the next three terms. 1. 3, 7, 11, 15 2.9, 5, 1,... 3. 12, 9, 8, 4, 2, . 4. 17 23 2'10 '10' 10 5. 3.8, 0.9, 0.1, -0.18, . #MakeEverylearnerLoveMath | 7
ACTIVITY 2: BY ALL MEANS. Direction: Find the missing terms (arithmetic means) between the given terms. ARITHMETIC MEAN(S) ARITHMETIC SEQUENCE 1. 2, 2. -5, 10 4 3. 10, 4. -6, 25 6 ACTIVITY 3: THE SUM OF IT ALL. 1. Find the sum of the first five terms of the series 20 + 27 + 34 +. 2. Find the sum of the first 7 terms of an arithmetic series whose first and last terms are 6 and 36, respectively. 3. A finite arithmetic sequence has 10 terms. If the first and last terms of the sequence are 12 and 38 respectively, find S10- 7.4. 3 4. Find the sum of the arithmetic series+++. +11. 6 3 2 IV:RUBRICS Point/s Description The learner shows answer only. The learner shows partial process. The learner shows partial process with answer. The learner shows complete process with correct answer. Rubrics for Scoring 1 2 3 V. GUIDE QUESTIONS: Answer the following questions to determine your mastery of the topic. 1. The nth term of an arithmetic sequence is given by a, = a, +(n-I)d. Is it possible to find any term of the sequence if a, is unknown? 2. Is it possible to insert any number of terms between two terms of an arithmetic sequence? 3. When do you use the following formulas to find the sum of a finite arithmetic sequence/series? a. S, =" (a, +a,) b. S, =[24, + (n- 1)d] 4. Can you find the sum of a finite arithmetic sequence if n is unknown? #MakeEverylearnerloveMath | 14
Transcribed Image Text:ACTIVITY 2: BY ALL MEANS. Direction: Find the missing terms (arithmetic means) between the given terms. ARITHMETIC MEAN(S) ARITHMETIC SEQUENCE 1. 2, 2. -5, 10 4 3. 10, 4. -6, 25 6 ACTIVITY 3: THE SUM OF IT ALL. 1. Find the sum of the first five terms of the series 20 + 27 + 34 +. 2. Find the sum of the first 7 terms of an arithmetic series whose first and last terms are 6 and 36, respectively. 3. A finite arithmetic sequence has 10 terms. If the first and last terms of the sequence are 12 and 38 respectively, find S10- 7.4. 3 4. Find the sum of the arithmetic series+++. +11. 6 3 2 IV:RUBRICS Point/s Description The learner shows answer only. The learner shows partial process. The learner shows partial process with answer. The learner shows complete process with correct answer. Rubrics for Scoring 1 2 3 V. GUIDE QUESTIONS: Answer the following questions to determine your mastery of the topic. 1. The nth term of an arithmetic sequence is given by a, = a, +(n-I)d. Is it possible to find any term of the sequence if a, is unknown? 2. Is it possible to insert any number of terms between two terms of an arithmetic sequence? 3. When do you use the following formulas to find the sum of a finite arithmetic sequence/series? a. S, =" (a, +a,) b. S, =[24, + (n- 1)d] 4. Can you find the sum of a finite arithmetic sequence if n is unknown? #MakeEverylearnerloveMath | 14
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