Increasing Arithmetic SequenceDecreasing Arithmetic SequenceCommon difference is positiveCommon difference is negative6,9, 12, 15, 1818, 15, 12, 9, 6Common difference: 3Common Difference : - 3In other words, an Arithmetic Sequence is a numerical pattern that increases or decreases ata constant rate called the common differenceWith 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 differencenext 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 saplingsin 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. TheTherefore, the number of saplings are 13, 8 and 3.II. LEARNING COMPETENCY:MOST ESSENTIAL LEARNING COMPETENCIESIllustrates an Arithmetic SequenceQUARTERK-12 CG CODEM10AL-Ib-11II. EXERCISES:Activity 1: TELL ME!Tell if the following sequences illustrate Arithmetic Sequence or not. Circle Shape if it illustratesArithmetic Sequence and emoji " if it does not. If Arithmetic Sequence, find the next three terms.1. 3, 7, 11, 152.9, 5, 1,...3. 12, 9, 8, 4, 2, .4.17 232'10 '10' 105. 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 SEQUENCE1. 2,2. -5,1043. 10,4. -6,256ACTIVITY 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 and36, respectively.3. A finite arithmetic sequence has 10 terms. If the first and last terms of the sequence are 12and 38 respectively, find S10-7.4. 34. Find the sum of the arithmetic series+++. +11.6 3 2IV:RUBRICSPoint/s DescriptionThe 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 Scoring123V. 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 tofind any term of the sequence if a, is unknown?2. Is it possible to insert any number of terms between two terms of an arithmeticsequence?3. When do you use the following formulas to find the sum of a finite arithmeticsequence/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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Increasing Arithmetic SequenceDecreasing Arithmetic SequenceCommon difference is positiveCommon difference is negative6,9, 12, 15, 1818, 15, 12, 9, 6Common difference: 3Common Difference : - 3In other words, an Arithmetic Sequence is a numerical pattern that increases or decreases ata constant rate called the common differenceWith 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 differencenext 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&#34; row and so on in an Arithmetic Sequence. What will be the number of saplingsin 4&#34;, 5&#34; and 6&#34; rows of the garden patch?Answer: In the given problem, the common difference is 5 and it is a Decreasing Arithmetic Sequence.is -7. TheTherefore, the number of saplings are 13, 8 and 3.II. LEARNING COMPETENCY:MOST ESSENTIAL LEARNING COMPETENCIESIllustrates an Arithmetic SequenceQUARTERK-12 CG CODEM10AL-Ib-11II. EXERCISES:Activity 1: TELL ME!Tell if the following sequences illustrate Arithmetic Sequence or not. Circle Shape if it illustratesArithmetic Sequence and emoji &#34; if it does not. If Arithmetic Sequence, find the next three terms.1. 3, 7, 11, 152.9, 5, 1,...3. 12, 9, 8, 4, 2, .4.17 232'10 '10' 105. 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 SEQUENCE1. 2,2. -5,1043. 10,4. -6,256ACTIVITY 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 and36, respectively.3. A finite arithmetic sequence has 10 terms. If the first and last terms of the sequence are 12and 38 respectively, find S10-7.4. 34. Find the sum of the arithmetic series+++. +11.6 3 2IV:RUBRICSPoint/s DescriptionThe 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 Scoring123V. 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 tofind any term of the sequence if a, is unknown?2. Is it possible to insert any number of terms between two terms of an arithmeticsequence?3. When do you use the following formulas to find the sum of a finite arithmeticsequence/series?a. S, =&#34; (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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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,