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Lesson 8.1 Page 587-589 #1-25(EOO), 33, 37, 43-65 (ODD), 69-77(EOO), 79-95 (ODD), 99, 103-111 (ODD)

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Presentation on theme: "Lesson 8.1 Page 587-589 #1-25(EOO), 33, 37, 43-65 (ODD), 69-77(EOO), 79-95 (ODD), 99, 103-111 (ODD)"— Presentation transcript:

1 Lesson 8.1 Page 587-589 #1-25(EOO), 33, 37, 43-65 (ODD), 69-77(EOO), 79-95 (ODD), 99, 103-111 (ODD)

2 Sequences and Series Objective Students will know how to use sequence, factorial, and summation notation to write the terms and sum of a sequence, and how to find sums of infinite series.

3 What is a sequence??? 3, 6, 9, 12, 153, 6, 9, 12, 15, … Finite Sequence Infinite Sequence Sequence - a function whose domain is a set of consecutive integers.

4 3, 6, 9, 12, 15 If the terms of a sequence have a pattern, then you may be able to write a rule for the n th term of the sequence. General Rule:

5 3, 6, 9, 12, 15 General Rule: ** Can also be written using function notation ** Domain: 1, 2, 3, 4, 5 Range: 3, 6, 9, 12, 15

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12 3 + 6 + 9 + 12 + 153 + 6 + 9 + 12 + 15 + … Finite Series Infinite Series Series - when the terms of a sequence are added. OR Partial Sum

13 3 + 6 + 9 + 12 + 15 We use summation notation to write a series. upper limit lower limit index of summation Sigma Notation “ the sum from i equals 1 to 5 of 3i ”

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