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Q1L3-DETERMINING NTH TERM OF ARITHMETIC SEQUENCE.pptx
- 1. Grade 10 First Quarter Sequence ArithmeticSequence Determining the nth term of arithmetic sequence. (M10AL-Ib-c-1) 1 2 3 4 5 Lesson 3
- 2. Objectives -Derive the formulafor the nth term of an arithmetic sequence. - Calculate the nth term of an arithmetic sequence. - Demonstrate the knowledge and skill related to arithmetic sequence.
- 3. Activate Prior Knowledge 1 Howdo we find the next terms of an arithmetic sequence?
- 4. Activate Prior Knowledge 1 Thenext terms of an arithmetic sequence are obtained by adding a constant number to the preceding term.
- 5. Activate Prior Knowledge 1 Findthe next three terms of the given arithmetic sequence. 1. 3, 8, 13, 18,___, ___, ___ 33 23 28
- 6. Activate Prior Knowledge 1 Findthe next three terms of the given arithmetic sequence. 2. 2, 7, 12, 17,___, ___, ___ 32 22 27
- 7. Activate Prior Knowledge 1 Findthe next three terms of the given arithmetic sequence. 3. -5, -2, 1, 4,___, ___, ___ 13 7 10
- 8. Activate Prior Knowledge 1 Findthe next three terms of the given arithmetic sequence. 4. 8, 3, -2,___, ___, ___ -17 -7 -12
- 9. Activate Prior Knowledge 1 Findthe next three terms of the given arithmetic sequence. 5. 3, 12, 21, ___, ___, ___ 48 30 39
- 10. Activate Prior Knowledge 1 Whatabout if the problem is to find the 100th term or the 250th term?
- 11. Acquire New Knowledge 2 Aformula is necessary to find any nth term.
- 12.
- 13. Acquire New Knowledge 2 Findthe 8th term of the sequence 3, 8, 13, … Example 1. Solution: Thus, the 8th term is 38.
- 14. Acquire New Knowledge 2 Findthe 16th term of the sequence 1, ½ , 0… Example 2. Solution:
- 15. Acquire New Knowledge 2 Example3. Solution: Thus, 304 is the 100th term.
- 16. Acquire New Knowledge 2 Example4. Solution: These imply that: Eq. 1 Eq. 2
- 17. Acquire New Knowledge 2 SubtractEq.2 by Eq.1 Eq. 1 Eq. 2
- 18. Acquire New Knowledge 2 Example4. Thus, the common difference is 3.
- 19.
- 20.
- 21. Application 3 Solve what isasked. 3. The second term of an arithmetic sequence is 24 and the fifth term is 3. Find the first term and the common difference.
- 22. Application 3 Answer the following. 4.How many terms are there in an arithmetic sequence with a common difference of 4 and with first and last terms 3 and 59, respectively?
- 23. Application 3 Answer the following. 5.Verify if 79 is a member of the arithmetic sequence -1, 3, 7, 11, …
- 24. Application 3 Answer the followingquestion? 1. State the general formula of finding the nth term of an arithmetic sequence? 2. Given an arithmetic sequence, how do we find the common difference? 3. Given an arithmetic sequence, how do we find the nth term?
- 25.
- 26. Assessment 4 A C B D 99th term 2. Which termof the arithmetic sequence 7, 10, 13, 16, . . . is 304? 102nd term 100th term 111th term
- 27. Assessment 4 A C B D 7 5 3 3. Thefirst term of an arithmetic sequence is 2 while the 18th term is 87. Find the common difference of the sequence. 6
- 28. Assessment 4 A C B D 23rd 25th 26th 4. Whichterm of the arithmetic sequence 2, 7, 12, 17, … is 122? 24th
- 29. Assessment 4 A C B D 5. The 4th termof an arithmetic sequence is 12 and the 7th term is 21. Find the nth term
- 30.
- 31. Additional Activity 5 2. Whatis the nth term of the arithmetic sequence 7, 9, 11, 13, 15, …? A C B D
- 32. Additional Activity 5 3. The16th term of an arithmetic sequence is 48. If the common difference is 3, find the first term. A C B D -3 1/3 3 -1/3
- 33. Additional Activity 5 4. Whatis the nth term of the arithmetic sequence whose initial term is 15 and common difference is -3? A C B D
- 34. Additional Activity 5 A C B D 2 -2 -4 5.What is the first term of the arithmetic sequence whose 4th term is 11 and 10th term is 29? 4
- 35. References and Weblinks DilaoS. J., Orines, F. B. & Bernabe J. C. (2008). Intermediate Algebra. SD Publications, Inc. Bautista E. P., Cabral E. A., Garces I. J. L., Garces G. D., Muga F. B., Sarmiento J. F., Tuprio E. P(2008). Intermediate Algebra. Vibal Publishing House, Inc. Nivera G. C., Lapinid M. C. (2015). Grade Mathematics-Patterns and Practicalities.Salesiana Books by Don Bosco Press, Inc. Callanta M. M., Canonigo A. M., Chua A. I., Crus, J. D., Esparrago M. S., Garcia E. S., Magnaye A. N., Orines F. B., Perez R. S., Ternida C. S. (2015). Mathematics 10 Learners Module.DepEd-IMCS.
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