Alg2 lesson 11-1

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Alg2 lesson 11-1

  1. 1. What comes next? An arithmetic3, 5, 7, 9, 11 13 15 __, __, __ sequence is a pattern of +2 +2 +2 +2 +2 +2 numbers in Common difference which each d=2 number is a1 = 3 found by adding a constant to a2 = 5 the number before it. a3 = 7
  2. 2. What’s the common difference?8, 10.5, 13, 15.5, …d = 2.59, 5, 1, -3, …d = -4
  3. 3. 3, 5, 7, 9, 11, 13, 15, … +2 +2 +2a1 = 3a2 = 5 3 + 1(2)a3 = 7 3 + 2(2)a4 = 9 3 + 3(2) an = a1 + (n – 1)d
  4. 4. Write an equation for the nth term of the arithmetic sequence –8, –6, –4, ….Find the 80th term of the sequence a80 = 2(80) – 10 = 160 – 10 = 150
  5. 5. Complete the statement for the arithmetic sequence: 124 is the ____ term of -2, 5, 12, … 124 -2 7 124 = -2 + 7n – 7 124 = 7n – 9 133 = 7n 19 = n
  6. 6. The terms between any two nonconsecutiveterms of an arithmetic sequence are arithmeticmeans.Find the three arithmetic means between 21 and 45. 27 33 39 21, ___, ___, ___, 45, ..., +d +d +d +d

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