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Mumz [18]
3 years ago
7

Determine whether the series is convergent or divergent by expressing Sn as a telescoping sum. If it is convergent, find its sum

. Show all work.
The sum as n goes from 1 to infinity of ln(n/(n+1))
Mathematics
1 answer:
Inessa05 [86]3 years ago
3 0
<span> i'm going to be slightly extra careful in showing each step. specific, ln [n / (n+a million) ]= ln n - ln(n+a million). So, we've sum(n=a million to infinity) ln [n / (n+a million) ] = lim(ok--> infinity) sum(n=a million to ok) ln [n / (n+a million) ] = lim(ok--> infinity) sum(n=a million to ok) [ln n - ln(n+a million)] = lim(ok--> infinity) (ln a million - ln 2) + (ln 2 - ln 3) + ... + (ln ok - ln(ok+a million)) = lim(ok--> infinity) (ln a million - ln(ok+a million)), for the reason that fairly much all the words cancel one yet another. Now, ln a million = 0 and lim(ok--> infinity) ln(ok+a million) is countless. So, the sum diverges to -infinity. IM NOT COMPLETELY SURE

</span>
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The equation y = 13x describes the amount of money Sarah earns, where x is the number of hours she works
enot [183]

Answer:

A) $14/hr B) Austin

Step-by-step explanation:

A)

If he earns $140 in 10 hours you can divide 140 by 10 to find out how much he makes per hour

B)

Sarah makes $13/hr which is $1 less than Austin

8 0
3 years ago
Calculate the area of this composite shape. Hint: The figure is made up of a rectangle and a semi-circle. Use 3.14 for the value
White raven [17]

Answer:ok

Step-by-step explanation:ok

3 0
2 years ago
Does 2 and 12 have a least common multiple of 24
vova2212 [387]

Answer:

Least common multiple (LCM) of 12 and 24 is 24.

Step-by-step explanation:

6 0
2 years ago
Which of the following sets of data will have the smallest Standard Deviation?
uranmaximum [27]

Answer: D

Step-by-step explanation:

Standard Deviation σ2 =

Σ(xi - μ)2/N

=(1 - 5.3)2 + ... + (9 - 5.3)2/10

=68.1/10

= 6.81

σ = √6.81

= 2.60959767014

B) σ2 =

Σ(xi - μ)2/N

=(3 - 61.7)2 + ... + (99 - 61.7)2/10

=58414.1/10

= 5841.41

σ = √5841.41

= 76.429117488036

C) (1 - 11.4)2 + ... + (1 - 11.4)2/10

=8758.4/10

= 875.84

σ = √875.84

= 29.59459410095

D) (79 - 79)2 + ... + (79 - 79)2/10

=0/10

= 0

σ = √0

= 0

I hope this helps, mark as Brainliest please.

6 0
3 years ago
Chris has 150 cookies to sell each cookie is covered with one topping 1 /5 of cookie are covered with coconut 1/3 of the cookie
Elan Coil [88]

Answer:

1/6 or 25

Step-by-step explanation:

1/3=10/30

3/10=9/30

1/5=6/30

together is 25/30, which leaves the rest, 5/30 or 1/6 or 25 cookies.

3 0
3 years ago
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