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January 5, 2010

January 5, 2010. Sequences. Warm Up. Which most accurately describes the relation {(2,6), (-2,3), (2,0)}? a. linear function b. linear relation c. nonlinear function d. nonlinear relation Which equation is a linear function? a. x = 4 b. c. y = - x +5 d.

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January 5, 2010

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  1. January 5, 2010 Sequences

  2. Warm Up • Which most accurately describes the relation {(2,6), (-2,3), (2,0)}? a. linear function b. linear relation c. nonlinear function d. nonlinear relation • Which equation is a linear function? a. x = 4 b. c. y = - x +5 d. 3. What is the next y value?

  3. An Equation is not a Function if… • the “y” variable is raised to an EVEN power; • x = any number; x = 5 and x = -9 – these are vertical lines.

  4. An Equation is NOT linear if… • any two variables are being multiplied together, ex. “xy” Or… • there is a power on any variable greater than 1, ex. “x2” & “y5” Or… • there is a variable in the denominator, ex.

  5. For each list of numbers below, determine the next three numbers in the list. 1, 2, 3, 4, 5, _______, ________, ________ 7, 9, 11, 13, 15, _______, _______, _______ 10, 7, 4, 1, -2, _______, _______, _______ 2, 4, 7, 11, 16, _______, _______, _______ 1, -1, 2, -2, 3, -3, _______, _______, _______

  6. For each list of numbers below, determine the next three numbers in the list. 1, 2, 3, 4, 5, 6, 7, 8 7, 9, 11, 13, 15, _______, _______, _______ 10, 7, 4, 1, -2, _______, _______, _______ 2, 4, 7, 11, 16, _______, _______, _______ 1, -1, 2, -2, 3, -3, _______, _______, _______

  7. For each list of numbers below, determine the next three numbers in the list. 1, 2, 3, 4, 5, 6, 7, 8 7, 9, 11, 13, 15, 17, 19, 21 10, 7, 4, 1, -2, _______, _______, _______ 2, 4, 7, 11, 16, _______, _______, _______ 1, -1, 2, -2, 3, -3, _______, _______, _______

  8. For each list of numbers below, determine the next three numbers in the list. 1, 2, 3, 4, 5, 6, 7, 8 7, 9, 11, 13, 15, 17, 19, 21 10, 7, 4, 1, -2, -5, -8, -11 2, 4, 7, 11, 16, _______, _______, _______ 1, -1, 2, -2, 3, -3, _______, _______, _______

  9. For each list of numbers below, determine the next three numbers in the list. 1, 2, 3, 4, 5, 6, 7, 8 7, 9, 11, 13, 15, 17, 19, 21 10, 7, 4, 1, -2, -5, -8, -11 2, 4, 7, 11, 16, 22, 29, 37 1, -1, 2, -2, 3, -3, _______, _______, _______

  10. For each list of numbers below, determine the next three numbers in the list. 1, 2, 3, 4, 5, 6, 7, 8 7, 9, 11, 13, 15, 17, 19, 21 10, 7, 4, 1, -2, -5, -8, -11 2, 4, 7, 11, 16, 22, 29, 37 1, -1, 2, -2, 3, -3, 4, -4, 5

  11. For each list of numbers below, determine the next three numbers in the list. 0, 1, 4, 9, 16, 25, _______, _______, _______ 2.0, 3.5, 5.0, 6.5, 8.0, 9.5, _____, _____, _____ 17.5, 13.2, 8.9, 4.6, 0.3, _____, _____, ______ 2, 5, 11, 23, 47, _______, _______, _______ 1, 1, 2, 3, 5, 8, _______, _______, _______

  12. For each list of numbers below, determine the next three numbers in the list. 0, 1, 4, 9, 16, 25, 36, 49, 64 2.0, 3.5, 5.0, 6.5, 8.0, 9.5, _____, _____, _____ 17.5, 13.2, 8.9, 4.6, 0.3, _____, _____, ______ 2, 5, 11, 23, 47, _______, _______, _______ 1, 1, 2, 3, 5, 8, _______, _______, _______

  13. For each list of numbers below, determine the next three numbers in the list. 0, 1, 4, 9, 16, 25, 36, 49, 64 2.0, 3.5, 5.0, 6.5, 8.0, 9.5, 11.0, 12.5, 14.0 17.5, 13.2, 8.9, 4.6, 0.3, _____, _____, ______ 2, 5, 11, 23, 47, _______, _______, _______ 1, 1, 2, 3, 5, 8, _______, _______, _______

  14. For each list of numbers below, determine the next three numbers in the list. 0, 1, 4, 9, 16, 25, 36, 49, 64 2.0, 3.5, 5.0, 6.5, 8.0, 9.5, 11.0, 12.5, 14.0 17.5, 13.2, 8.9, 4.6, 0.3, -4.0, -8.3, -12.6 2, 5, 11, 23, 47, _______, _______, _______ 1, 1, 2, 3, 5, 8, _______, _______, _______

  15. For each list of numbers below, determine the next three numbers in the list. 0, 1, 4, 9, 16, 25, 36, 49, 64 2.0, 3.5, 5.0, 6.5, 8.0, 9.5, 11.0, 12.5, 14.0 17.5, 13.2, 8.9, 4.6, 0.3, -4.0, -8.3, -12.6 2, 5, 11, 23, 47, 95, 191, 383 1, 1, 2, 3, 5, 8, _______, _______, _______

  16. For each list of numbers below, determine the next three numbers in the list. 0, 1, 4, 9, 16, 25, 36, 49, 64 2.0, 3.5, 5.0, 6.5, 8.0, 9.5, 11.0, 12.5, 14.0 17.5, 13.2, 8.9, 4.6, 0.3, -4.0, -8.3, -12.6 2, 5, 11, 23, 47, 95, 191, 383 1, 1, 2, 3, 5, 8, 13, 21, 34

  17. Recursive Formula • Consider the following sequence: 20, 24, 28, 32, 36, . . . • What is the common difference (d)? 4 • Use the recursive formula to find the next term of a sequence.

  18. Recursive Formula tn = tn-1 + d; where n is the term number & d is the common difference. Find the next term of the sequence. Given: t1 = 20 & d = 4 t2 = t2-1 + 4 t2 = t1 + 4 t2 = 20 + 4 t2 = 24

  19. Recursive Formula YOU TRY! Find the next term of the sequence. Given: t1 = 56 & d = -8 t2 = t2-1 + (-8) t2 = t1 + (-8) t2 = 56 + (-8) t2 = 48

  20. Homework • Textbook page 144, #18-28 Even • Online textbook: my.hrw.com • Username: TappMath8 • Password: tappmath8

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