mathematical induction

50
CS-708 1 Principle of Mathematical Induction – (23 - 2)

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Transcript of mathematical induction

Page 1: mathematical induction

CS-708 1

Principle of Mathematical Induction – (23 - 2)

Page 2: mathematical induction

CS-708 2

Principle of Mathematical Induction – (23 – 2a)

Page 3: mathematical induction

CS-708 3

Example – (23 - 3)

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CS-708 4

Solution – (23 – 3a)

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CS-708 5

Solution – (23 – 3b)

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CS-708 6

Solution – (23 - 4)

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CS-708 7

Solution – (23 – 4a)

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CS-708 8

Solution – (23 – 4b)

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CS-708 9

Solution – (23 – 4c)

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CS-708 10

Exercise – (23 - 5)

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CS-708 11

Exercise – (23 – 5a)

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CS-708 12

Solution – (23 - 6)

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CS-708 13

Solution – (23 – 6a)

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CS-708 14

Solution – (23 – 6b)

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CS-708 15

Exercise – (23 - 7)

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CS-708 16

Solution – (23 – 7a)

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CS-708 17

Solution – (23 - 8)

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CS-708 18

Solution – (23 – 8a)

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CS-708 19

Exercise – (23 - 9)

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CS-708 20

Solution – (23 - 10)

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CS-708 21

Solution – (23 – 10a)

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CS-708 22

Solution – (23 - 11)

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CS-708 23

Solution – (23 – 11a)

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CS-708 24

Exercise – (23 - 12)

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CS-708 25

Solution – (23 - 13)

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CS-708 26

Solution – (23 – 13a)

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CS-708 27

Solution – (23 – 13b)

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CS-708 28

Example – (23 - 15)

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CS-708 29

Solution – (23 – 15a)

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CS-708 30

Solution – (23 - 16)

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CS-708 31

Solution – (23 – 16a)

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CS-708 32

Solution – (23 – 16b)

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CS-708 33

Exercise – (23 - 22)

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CS-708 34

Solution – (23 – 22a)

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CS-708 35

Solution – (23 - 23)

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CS-708 36

Solution – (23 – 23a)

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CS-708 37

Solution – (23 – 23c)

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CS-708 38

Solution – (23 – 23a)

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CS-708 39

Solution – (23 – 23b)

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CS-708 40

Example – (23 - 18)

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CS-708 41

Solution – (23 – 18a)

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CS-708 42

Solution – (23 - 19)

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CS-708 43

Solution – (23 – 19a)

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CS-708 44

Solution – (23 – 20)

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CS-708 45

Solution – (23 – 20a)

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CS-708 46

Solution – (23 - 21)

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CS-708 47

Exercise – (23 - 25)

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CS-708 48

Exercise – (23 – 25a)

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CS-708 49

Exercise – (23 – 25b)

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CS-708 50

Exercise – (23 – 25c)