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9.2 Arithmetic Sequence and Partial Sum Common Difference Finite Sum

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Common Difference Look at the sequence 3 + 8 + 13 + 18 + ….. To find the common difference d = a n+1 – a 1 d = 13 – 8 = 5 d = 18 – 13 = 5 d = 5

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Rule of Arithmetic Sequence 3 + 8 + 13 + 18 + ….. Find the equation a n = a 1 + (n – 1)d a n = 3 + (n – 1)5 a n = 3 + 5n – 5 a n = -2 + 5n

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Find the Rule of Arithmetic Sequence 3 + 10 + 17 + 24 + 31 …….

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Find the Rule of Arithmetic Sequence 3 + 10 + 17 + 24 + 31 ……. d = 10 – 3 = 7d = 17 -10 = 7

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Find the Rule of Arithmetic Sequence 3 + 10 + 17 + 24 + 31 ……. d = 10 – 3 = 7d = 17 -10 = 7 a n = 3 + (n – 1)(7) a n = 3 + 7n – 7 a n = -4 + 7n

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Finite Sum The equation to find a finite sum

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Finite Sum The equation to find a finite sum 6 + 13 + 20 + 27 + 34 + 41 + 48 + 55 =

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Finite Sum The equation to find a finite sum 6 + 13 + 20 + 27 + 34 + 41 + 48 + 55 =

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How many terms in the sequence? The sequence totals to 640. Start with 10, ends with 70.

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How many terms in the sequence? The sequence totals to 640. Start with 10, ends with 70.

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Summation Notation Partial Sum are Finite (Series)

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Summation Notation Find n

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Summation Notation Find n

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Summation Notation Find n

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Summation Notation Find n

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Homework Page 631 – 632 # 5, 15, 25, 35, 45, 55, 65, 75, 82

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Homework Page 631 – 632 # 10, 20, 30, 40, 50, 60, 70, 80, 90

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