 # 9.2 Arithmetic Sequence and Partial Sum Common Difference Finite Sum.

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9.2 Arithmetic Sequence and Partial Sum Common Difference Finite Sum

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

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

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

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

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

Finite Sum The equation to find a finite sum

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

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

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

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

Summation Notation Partial Sum are Finite (Series)

Summation Notation Find n

Summation Notation Find n

Summation Notation Find n

Summation Notation Find n

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

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

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