Problem

Determine whether the series is convergent or div…

04:25

Problem 27 Easy Difficulty

Determine whether the series is convergent or divergent. If it is convergent, find its sum.
$ \frac {1}{3} + \frac {1}{6} + \frac {1}{9} + \frac {1}{12} + \frac {1}{15} + \cdot \cdot \cdot $

Answer

Diverges

Topics

Sequences

Series

Calculus: Early Transcendentals

Chapter 11

Infinite Sequences and Series

Section 2

Series

Discussion

You must be signed in to discuss.

Top Calculus 2 / BC Educators

Watch More Solved Questions in Chapter 11

Problem 1

Problem 2

Problem 3

Problem 4

Problem 5

Problem 6

Problem 7

Problem 8

Problem 9

Problem 10

Problem 11

Problem 12

Problem 13

Problem 14

Problem 15

Problem 16

Problem 17

Problem 18

Problem 19

Problem 20

Problem 21

Problem 22

Problem 23

Problem 24

Problem 25

Problem 26

Problem 27

Problem 28

Problem 29

Problem 30

Problem 31

Problem 32

Problem 33

Problem 34

Problem 35

Problem 36

Problem 37

Problem 38

Problem 39

Problem 40

Problem 41

Problem 42

Problem 43

Problem 44

Problem 45

Problem 46

Problem 47

Problem 48

Problem 49

Problem 50

Problem 51

Problem 52

Problem 53

Problem 54

Problem 55

Problem 56

Problem 57

Problem 58

Problem 59

Problem 60

Problem 61

Problem 62

Problem 63

Problem 64

Problem 65

Problem 66

Problem 67

Problem 68

Problem 69

Problem 70

Problem 71

Problem 72

Problem 73

Problem 74

Problem 75

Problem 76

Problem 77

Problem 78

Problem 79

Problem 80

Problem 81

Problem 82

Problem 83

Problem 84

Problem 85

Problem 86

Problem 87

Problem 88

Problem 89

Problem 90

Problem 91

Problem 92

Video Transcript

let's determine whether the Siri's is conversion or diversion, and if it is, conversion will go ahead and find some as well. So this Siri's, we can go ahead. And if it did converse, we should just be able to pull out of one over three and rewrite. This is and so on. However, the Siri's and the inside of the parentheses. We can rewrite this as the sum and equals one to infinity of one over end. If you want, you could think of this. One is one over one. But as mentioned in your textbook, this is a well known example. Call the harmonic series, and this one actually diverges. And if you take a diversion, Siri's and if you multiply it by one over three, it'LL still that verge. Though this whole thing here diverges, and therefore this sum that was given to us will also die average. So that version, and that's our final answer

J H.

Topics

Sequences

Series

Calculus: Early Transcendentals

Chapter 11

Infinite Sequences and Series

Section 2

Series

Problem