1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Sergio [31]
3 years ago
11

Does this sum converge: show steps

Mathematics
1 answer:
ehidna [41]3 years ago
6 0

Answer:

Yes

Step-by-step explanation:

\sum_{n=1}^{\infty} e^{-\sqrt{n} } \\\sum_{n=1}^{\infty} (\frac{1}{e})^{\sqrt{n} }

If we say u = √n, then:

\sum_{u=1}^{\infty} (\frac{1}{e})^{u}

This is a geometric series.  Since |1/e| < 1, the series converges.

You might be interested in
Darren and his 2 sisters want to equally share 17 tokens at an arcade. How many tokens will each of them get
Sauron [17]

Answer:

6

Step-by-step explanation:

3 divided by 17 there will be 1 left over

3 0
2 years ago
You have purchased a property that you intend to rent out to people. The mortgage payment is $765/month and the property taxes a
Delicious77 [7]
Monthly mortgage payment multiplied by 12 months in a year. 
765*12=9,180.
Add yearly mortgage plus property taxes:
9,180+4,056=13,236
Divide the total by 12 months in a year. 
13,236/12=1,103
You should charge $1,103 a month to come out even. 

You can also take the property taxes and divide them by 12 (months in a year)  4056/12=338. Then add the monthly mortgage ($765) 
 765+338= $1,103.

Hope this helps :)
7 0
3 years ago
A train at the local fair is 6 feet long. This 1.10 scale of an actual passenger train. You want to draw a mural that includes a
Allisa [31]

Answer:

Step-by-step explanation:

5 0
2 years ago
Helppppppppppppppppppppppp
Crank

Answer:

0.13m

Step-by-step explanation:

1m = 100cm

0.13m = 13cm

3 0
2 years ago
Read 2 more answers
The area of a rectangle is 40 square feet. What could be the perimeter of the rectangle? how is this problem solved.
schepotkina [342]

A possible perimeter for the rectangle would be 28

Area=L x W

40/10=4

Width=4, Length=10

Perimeter=L+L+W+W

4+4+10+10=28

4 0
3 years ago
Read 2 more answers
Other questions:
  • This is really getting on my nerve
    7·1 answer
  • Express the following in scientific notation: 0.0000079
    11·2 answers
  • What is the value of<br> (1+i) (1 - 1)<br> 2 – 3<br> ?
    15·2 answers
  • Which set of three angles could represent the interior angles of a triangle? 26 degrees, 51 degrees, 103 degrees 29 degrees, 54
    11·2 answers
  • What is the center of the circle given by the equation (x−6)2+(y+3)2=72?
    12·1 answer
  • How do you tell wether the ratios form a proportion 8/24 5/15
    13·1 answer
  • A video game cost $34.90 plus 10% tax. How much will you pay in all for the game?
    5·2 answers
  • 2. Jason wants to plant 54 carrot seeds and 27 onion bulbs. He would like to plant them so that there are the same number of pla
    11·1 answer
  • Make me laugh who ever does ill give Brainliest
    7·2 answers
  • Rationalize the denominator: √2
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!