lecture 15 sequences

54
CS-708 1 Example – (19 - 2)

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Discrete Mathematics

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Page 1: Lecture 15 sequences

CS-708 1

Example – (19 - 2)

Page 2: Lecture 15 sequences

CS-708 2

Example – (19 – 2a)

Page 3: Lecture 15 sequences

CS-708 3

Example – (19 – 2c)

Page 4: Lecture 15 sequences

CS-708 4

Example – (19 – 2b)

Page 5: Lecture 15 sequences

CS-708 5

Formal Definition of Sequence – (19 - 3)

Page 6: Lecture 15 sequences

CS-708 6

Notation – (19 – 3a)

Page 7: Lecture 15 sequences

CS-708 7

Example – (19 - 5)

Page 8: Lecture 15 sequences

CS-708 8

Example – (19 – 5a)

Page 9: Lecture 15 sequences

CS-708 9

Example – (19 - 6)

Page 10: Lecture 15 sequences

CS-708 10

Example – (19 - 7)

Page 11: Lecture 15 sequences

CS-708 11

Example – (19 – 7a)

Page 12: Lecture 15 sequences

CS-708 12

Example – (19 – 7b)

Page 13: Lecture 15 sequences

CS-708 13

Example – (19 – 8)

Page 14: Lecture 15 sequences

CS-708 14

Example – (19 – 8a)

Page 15: Lecture 15 sequences

CS-708 15

Example – (19 - 9)

Page 16: Lecture 15 sequences

CS-708 16

Example – (19 – 9a)

Page 17: Lecture 15 sequences

CS-708 17

Example – (19 – 9b)

Page 18: Lecture 15 sequences

CS-708 18

Example – (19 – 9c)

Page 19: Lecture 15 sequences

CS-708 19

Example – (19 – 9d)

Page 20: Lecture 15 sequences

CS-708 20

Example – (19 - 10)

Page 21: Lecture 15 sequences

CS-708 21

Example – (19 – 10a)

Page 22: Lecture 15 sequences

CS-708 22

Arithmetic Sequence – (19 - 11)

Page 23: Lecture 15 sequences

CS-708 23

Example – (19 – 11b)

Page 24: Lecture 15 sequences

CS-708 24

Example – (19 – 11c)

Page 25: Lecture 15 sequences

CS-708 25

Nth Term of a Sequence – (19 - 12)

Page 26: Lecture 15 sequences

CS-708 26

Nth Term of a Sequence – (19 – 12a)

Page 27: Lecture 15 sequences

CS-708 27

Example – (19 - 13)

Page 28: Lecture 15 sequences

CS-708 28

Example – (19 – 13a)

Page 29: Lecture 15 sequences

CS-708 29

Example – (19 - 14)

Page 30: Lecture 15 sequences

CS-708 30

Example – (19 – 14a)

Page 31: Lecture 15 sequences

CS-708 31

Solution – (19 - 15)

Page 32: Lecture 15 sequences

CS-708 32

Solution – (19 – 15a)

Page 33: Lecture 15 sequences

CS-708 33

Exercise – (19 - 16)

Page 34: Lecture 15 sequences

CS-708 34

Exercise – (19 – 16a)

Page 35: Lecture 15 sequences

CS-708 35

Exercise – (19 – 16b)

Page 36: Lecture 15 sequences

CS-708 36

Solution – (19 - 17)

Page 37: Lecture 15 sequences

CS-708 37

Solution – (19 – 17a)

Page 38: Lecture 15 sequences

CS-708 38

Geometric Sequence – (19 - 18)

Page 39: Lecture 15 sequences

CS-708 39

Geometric Sequence – (19 – 18a)

Page 40: Lecture 15 sequences

CS-708 40

Example – (19 – 18b)

Page 41: Lecture 15 sequences

CS-708 41

Example – (19 – 18c)

Page 42: Lecture 15 sequences

CS-708 42

Example – (19 – 18d)

Page 43: Lecture 15 sequences

CS-708 43

Nth Term of a Geometric Sequence – (19 - 19)

Page 44: Lecture 15 sequences

CS-708 44

Nth Term of a Geometric Sequence – (19 – 19a)

Page 45: Lecture 15 sequences

CS-708 45

Example – (19 - 20)

Page 46: Lecture 15 sequences

CS-708 46

Example – (19 – 20a)

Page 47: Lecture 15 sequences

CS-708 47

Example – (19 – 20b)

Page 48: Lecture 15 sequences

CS-708 48

Example – (19 - 21)

Page 49: Lecture 15 sequences

CS-708 49

Solution – (19 - 22)

Page 50: Lecture 15 sequences

CS-708 50

Solution – (19 – 22a)

Page 51: Lecture 15 sequences

CS-708 51

Example – (19 - 23)

Page 52: Lecture 15 sequences

CS-708 52

Example – (19 – 23a)

Page 53: Lecture 15 sequences

CS-708 53

Example – (19 - 24)

Page 54: Lecture 15 sequences

CS-708 54

Example – (19 - 24a)