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2 - generating sequences.pptx

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2 - generating sequences.pptx

  1. 1. GENERATING SEQUENCES AND FINDING RULES FOR SEQUENCES http://www.free-powerpoint-templates-design.com
  2. 2. Objectives Generate terms of a linear sequence using term-to-term and position-to-term rules Find term-to-term rules and position-to-term rules of sequences Tujuan Pembelajaran
  3. 3. Mathematics is the art of giving the same name to different things. Henri Poincaré
  4. 4. TERM & TERM-TO-TERM RULE 5, 9, 13, 17, … What is the first term? The first term is …. Apakah suku pertamanya? Suku pertamanya adalah 5 What is the second term? The second term is …. Apakah suku keduanya? Suku keduanya adalah …. What is the third term? The third term is …. term term term term
  5. 5. TERM & TERM-TO-TERM RULE 5, 9, 13, 17, … What is the fourth term? The fourth term is …. What is the next term? …. What is the 8th term? …. term term term term 5, 9, 13, 17, 21, 25, 29, 33
  6. 6. What is the rule when going from one term to the next? Apa aturan ketika beralih dari satu suku ke suku berikutnya? the rule when going from one term to the next is …. So, the term to term rule is …. TERM & TERM-TO-TERM RULE 5, 9, 13, 17, …? + 4 + 4 + 4 + 4
  7. 7. 25 22 27 24 29 … ??? What is the next number? TERM & TERM-TO-TERM RULE
  8. 8. POSITION-TO-TERM RULE Position number 1 2 3 4 Term 3 6 9 12 Multiples of 3 (Kelipatan 3) 3 6 9 12 3, 6, 9, 12, … (and so on) Term-to-term rule is add 3 Position-to-term rule is Term = 3 x position number 3 x 1 = 3 3 x 2 = 6 3 x 3 = 9 3 x 4 = 12
  9. 9. POSITION-TO-TERM RULE Work out the 21st term. Term = 3 x position number - 4 Anwer: The 21st term = 3 x 21 - 4 Example: POSITION-TO-TERM RULE Example:
  10. 10. Write down the first four terms of this sequence: First term = 3 ; term-to-term rule = add 2 Answer: …, …, …, … Example:
  11. 11. Lesson Recap Term = an individual number in a sequence Term-to-term rule = a rule to find a term of a sequence, given the previous term Position-to-term rule = a rule to find a term of a sequence, look the position number
  12. 12. Practice Write down the first four terms of each sequence: A. First term = 2 ; term-to-term rule = subtract 2 B. First term = 3 ; term-to-term rule = add 5
  13. 13. Practice Write down the first four terms of each sequence: C. First term = -1 ; term-to-term rule = subtract 5 D. First term = -10 ; term-to-term rule = add 20
  14. 14. Practice 2. The first term of a sequence is 5. The term-to-term rule is add 10. What is the 20th term of a sequence? Explain how you worked out your answer!
  15. 15. Practice 3. Work out the 10th term. Term = 2 x position number + 3 Anwer: The 10th term = … x … + … = …
  16. 16. THANK YOU

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