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CS-708 1 Series – (20 - 2)
45

Lecture 16 SERIES

Jun 20, 2015

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Faisal Mehmood

Discrete Mathematics
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Page 1: Lecture 16  SERIES

CS-708 1

Series – (20 - 2)

Page 2: Lecture 16  SERIES

CS-708 2

Summation Notation – (20 - 3)

Page 3: Lecture 16  SERIES

CS-708 3

Summation Notation – (20 – 3a)

Page 4: Lecture 16  SERIES

CS-708 4

Computing Summations – (20 – 4)

Page 5: Lecture 16  SERIES

CS-708 5

Solution – (20 – 4a)

Page 6: Lecture 16  SERIES

CS-708 6

Solution – (20 – 4b)

Page 7: Lecture 16  SERIES

CS-708 7

Solution – (20 – 4c)

Page 8: Lecture 16  SERIES

CS-708 8

Exercise – (20 - 5)

Page 9: Lecture 16  SERIES

CS-708 9

Exercise – (20 – 5a)

Page 10: Lecture 16  SERIES

CS-708 10

Remark – (20 – 5b)

Page 11: Lecture 16  SERIES

CS-708 11

Example – (20 - 6)

Page 12: Lecture 16  SERIES

CS-708 12

Example – (20 – 6a)

Page 13: Lecture 16  SERIES

CS-708 13

Exercise – (20 - 7)

Page 14: Lecture 16  SERIES

CS-708 14

Exercise – (20 – 7a)

Page 15: Lecture 16  SERIES

CS-708 15

Exercise – (20 – 7b)

Page 16: Lecture 16  SERIES

CS-708 16

Exercise – (20 – 7c)

Page 17: Lecture 16  SERIES

CS-708 17

Exercise – (20 – 7d)

Page 18: Lecture 16  SERIES

CS-708 18

Solution – (20 - 8)

Page 19: Lecture 16  SERIES

CS-708 19

Remark – (20 - 9)

Page 20: Lecture 16  SERIES

CS-708 20

Example – (20 - 10)

Page 21: Lecture 16  SERIES

CS-708 21

Exercise – (20 – 10a)

Page 22: Lecture 16  SERIES

CS-708 22

Example – (20 – 11)

Page 23: Lecture 16  SERIES

CS-708 23

Solution – (20 – 11a)

Page 24: Lecture 16  SERIES

CS-708 24

Properties of Summations – (20 - 12)

Page 25: Lecture 16  SERIES

CS-708 25

Exercise – (20 - 13)

Page 26: Lecture 16  SERIES

CS-708 26

Solution – (20 – 13a)

Page 27: Lecture 16  SERIES

CS-708 27

Arithmetic Series – (20 - 14)

Page 28: Lecture 16  SERIES

CS-708 28

Arithmetic Series – (20 – 14a)

Page 29: Lecture 16  SERIES

CS-708 29

Sum of n Terms of an Arithmetic Series – (20 - 15)

Page 30: Lecture 16  SERIES

CS-708 30

Sum of n Terms of an Arithmetic Series – (20 – 15a)

Page 31: Lecture 16  SERIES

CS-708 31

Sum of n Terms of an Arithmetic Series – (20 – 15b)

Page 32: Lecture 16  SERIES

CS-708 32

Sum of n Terms of an Arithmetic Series – (20 – 15c)

Page 33: Lecture 16  SERIES

CS-708 33

Sum of n Terms of an Arithmetic Series – (20 - 16)

Page 34: Lecture 16  SERIES

CS-708 34

Exercise – (20 - 17)

Page 35: Lecture 16  SERIES

CS-708 35

Solution – (20 – 17a)

Page 36: Lecture 16  SERIES

CS-708 36

Exercise – (20 - 18)

Page 37: Lecture 16  SERIES

CS-708 37

Solution – (20 – 18a)

Page 38: Lecture 16  SERIES

CS-708 38

Solution – (20 – 18b)

Page 39: Lecture 16  SERIES

CS-708 39

Solution – (20 - 19)

Page 40: Lecture 16  SERIES

CS-708 40

Geometric Series – (20 - 20)

Page 41: Lecture 16  SERIES

CS-708 41

Geometric Series – (20 – 20a)

Page 42: Lecture 16  SERIES

CS-708 42

Sum of n Terms of a Geometric Series – (20 - 21)

Page 43: Lecture 16  SERIES

CS-708 43

Sum of n Terms of a Geometric Series – (20 – 21a)

Page 44: Lecture 16  SERIES

CS-708 44

Exercise – (20 - 22)

Page 45: Lecture 16  SERIES

CS-708 45

Solution – (20 – 22a)