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Arithmetic-Sequences-common-difference.pptx
- 1. 1 NOTES: NTH TERM TermPosition Term Sequence 1 2 3 4 5 6 Sequence – An ordered list of numbers Term – A number in a sequence Term position (n) – Place of term in sequence 5 10 15 20 25 30
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- 3. An Arithmetic Sequenceis defined as a sequence in which there is a common difference between consecutive terms.
- 4. Which of thefollowing sequences are arithmetic? Identify the common difference. YES YES NO NO -3, -7, -11, -15, -19 d=-4 4, 16, 64, 256 NO 48, 24,12, 6, 3 1, 4, 9, 16, 25, 36 1, 0, -1, -2, -3 d=-1
- 5. Which of thefollowing sequences are arithmetic? Identify the common difference. 3, 1, 1, 3, 5, 7, 9, . . . 15.5, 14, 12.5, 11, 9.5, 8, . . . 84, 80, 74, 66, 56, 44, . . . 8, 6, 4, 2, 0, . . . 50, 44, 38, 32, 26, . . . YES 2 d YES YES NO NO 1.5 d 6 d
- 6. The common difference isalways the difference between any term and the term that proceeds that term. 26, 21, 16, 11, 6, . . . Common Difference = 5
- 7. What is the10th term of the arithmetic sequence 2, 5, 8, 11, …
- 8. What is the10th term of the arithmetic sequence 2, 5, 8, 11, … 29
- 9. What is the12th term of the arithmetic sequence -1, -6, -11, …
- 10. What is the12th term of the arithmetic sequence -1, -6, -11, … -56
- 11. What is the15th term of the arithmetic sequence -13, -6, 1, …
- 12. What is the15th term of the arithmetic sequence -13, -6, 1, … 85
- 13. What is the50th term of the arithmetic sequence -7, -3, 1, 5, 9
- 14. Formula for thenth term of an ARITHMETIC sequence. 1 1 n a a n d The nth term n a The term number n The common difference d 1 The 1st term a If we know any three of these we ought to be able to find the fourth.
- 15. Given: 79, 75,71, 67, 63, . . . Find: 32 a 1 79 4 32 a d n 1 32 32 1 79 32 1 4 45 n a a n d a a IDENTIFY SOLVE
- 16. SW#1 Practice Problems 1.11, 13, 15, 17, … Find the 85th term 2. 25, 22, 19, 16, … Find the 50th term 3. a1 = -15 d = +4 Find the 71st term