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Arithmetic Sequence Demo Teaching.pptx.pdf
This document discusses arithmetic sequences and provides examples of how to determine the nth term, common difference, sum of terms, and missing terms of an arithmetic sequence. It defines an arithmetic sequence as a sequence where each term is created by adding or subtracting a common number to the preceding term. Several examples are worked through, such as finding the 20th term given the 3rd term and common difference, determining the common difference and first term when given the sum of the first 10 terms and the last term, and calculating the sum of terms of an arithmetic sequence.
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- 2. âĸ Illustrate anarithmetic sequence OBJECTIVES: âĸ Determine arithmetic means and nth term of an arithmetic sequence âĸ Find the sum of the terms of a given arithmetic sequence
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- 4. SEQUENCES A.) 5, 9,13, 17, 21, âĻ B.) 0, 1, 3, 6, 10, âĻ C.) 3, 9, 27, 81, 243, âĻ D.) 29, 20, 11, 2, -7, âĻ Increasing Decreasing Which among the following sequences is an arithmetic sequence?
- 5. A sequence inwhich a term is created or obtained by adding or subtracting a common number to its preceding term or value Arithmetic Sequence
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- 7. TRY THIS! 7, 15,23, 31, 39 d= 8
- 8. Consider the arithmeticsequence 3, 12, 21, 30, 39 âĻ What is the value of the 20th term? Example 1 n= 20 d= 9
- 9. TRY THIS! Consider thearithmetic sequence 9, 14, 19, 24, 29, âĻ What is the value of the 35th term? n= 35 d= 5
- 10. Example 2 n=30 d= ?
- 11. d= ? n= 28 TRYTHIS!
- 12. Find the missingterms 5, ___, ___, ___, ___, 25 Example 3 n= 6 25-5=5d 9 13 17 21 Arithmetic Mean The term of the arithmetic sequence that is between two given terms are called arithmetic means
- 13. d= ? n= 6 TRYTHIS! Find the missing terms 68, ___, ___, ___, ___, 3 55 42 29 16
- 14. Example 4 If the3rd term and the 7th term of an arithmetic sequence is 17 and 45 respectively. What is the value of the 14th term? d=? TRY THIS!
- 15. Find the sumof the arithmetic sequence 15, 18, 21, âĻâĻâĻ. 39, 42, 45 Example 5 n= ? TRY THIS!
- 16. Example 6 The sumof the first 10 terms of an arithmetic sequence is 530. What is the first term if the last term is 80. What is the common difference? d= ? n=10 Find d 530= 10 (80-9d)+45d 530= 800-90d+45d 530= 800-90d+45d 530-800=-90d+45d
- 17. Example 6 The sumof the first 10 terms of an arithmetic sequence is 530. What is the first term if the last term is 80. What is the common difference? d= 6 n=10 TRY THIS! continuation
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- 21. 3.) Find thesum of the given arithmetic sequence 26, 32, 38, âĻâĻâĻ 68, 74, 80 ANSWER: 477
- 22. 4.) Find thesum of the first 35 multiples of 7 ANSWER: 4410
- 23. 5.) Find thesum of the odd integers between 1 and 100 ANSWER: 2500
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- 25. Exit Ticket On Jamboard, rate yourselves from 1-10 on how well did you understand the lesson. 1 being the lowest and 10 being the highest. Also, One word that will summarize your understanding in this topic.
- 26. Thank you! See younext time.