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
brilliants [131]
3 years ago
10

Evaluate the geometric series or state that it diverges. [infinity] Σ e^-5n n=0

Mathematics
1 answer:
Marianna [84]3 years ago
4 0

Answer:

sum = = 1 / ( 1-e^(-5) )

( 1.00678   to 5 decimals)

Step-by-step explanation:

Question: sum

[infinity]

Σ e^-5n

n=0

We note that this is a geometric series,

with n=0, e^(-5n) = e^0 = 1

with n=1, e^(-5n) = e^(-5)

with n=2, e^(-5n) = e^(-10)

...

Therefore the common ratio is r=e^(-5)

and the sum for a geometric series

a+ar+ar^2 + ... ar^N

=a(1-r^(N+1)) / (1-r)

=1(1-r^(infinity-1)) / (1-e^(-5))

= 1 / ( 1-e^(-5) )

You might be interested in
How do you write the expressions part
statuscvo [17]
Could you possibly post a more high quality picture so its not blurry thanks!
7 0
3 years ago
Anyone get this?? I really appreciated if you’ed help me :)
notsponge [240]

Answer:

V =5292 in ^3

Step-by-step explanation:

To find the volume for a rectangular prism

V = l*w*h

V = 6 * 36 * 24.5

V =5292 in ^3

6 0
3 years ago
Newton's first law of motion applies only to objects that are already moving.<br> O True<br> O False
larisa [96]

Answer:

false

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which letter will correspond to the location of the following points when plotted on the number line below?
Alinara [238K]

Answer:

A, E, B, D, C

Step-by-step explanation:

1) 6 is A

2) √83 = 9.11, so it is E

3) √40 = 6.3, so it is B

4) √64 = 8, so it is D

5) 7.5 is C

5 0
2 years ago
I need help with Geometry
ehidna [41]

Answer:

We conclude that segment QR is the shortest.

Hence, option B is true.

Step-by-step explanation:

First, we need to determine the missing angle m∠R

Given the triangle Δ∠PQR

m∠P = 48°

m∠Q = 83°

m∠R = ?

We know the sum of angles of a triangle is 180°.

m∠P+m∠Q+m∠R = 180°

48°+83°+m∠R=180°

m∠R = 180° - 48° - 83°

m∠R = 49°

Thus, the value of m∠R = 49°

We know that the longest side in a triangle is opposite the largest angle, and the shortest side is opposite the smallest angle.

Here,

m∠P = 48° is the shortest angle.

As the side QR segment is opposite the smallest angle i.e. m∠P = 48°

Therefore, we conclude that segment QR is the shortest.

Hence, option B is true.

5 0
2 years ago
Other questions:
  • Geometry Help!<br><br> I've attached the image I need help with!
    9·1 answer
  • Plzzzzzzzzzzz helpppppppppppppp
    11·1 answer
  • Help please due tomorrow!
    12·1 answer
  • A fair coin is tossed 5 times. what is the probability of at least one? head? round to the nearest? ten-thousandth.
    11·1 answer
  • Two coins are flipped. What is the probability that both coins land heads up? *<br> 1 point
    5·2 answers
  • The ______ states that you can add two or more numbers in any order and get the same sum.
    14·1 answer
  • If f(x) = 4+ 3x, what is f(-9)?
    12·2 answers
  • Please l have a test only 5 minutes left Help
    14·1 answer
  • If I get 18 dollars every 2 weeks how long before I get 2,000?
    14·1 answer
  • Who use remind if so join with this code 2ff7fb
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!