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
malfutka [58]
3 years ago
15

Consider the infinite geometric series ∑∞n=1−4(13)n−1

Mathematics
2 answers:
vodomira [7]3 years ago
3 0

Answer:

See below

Step-by-step explanation:

-4 (1/3)^(n-1)

Part A

<em><u>For n = 1</u></em>

-4(1/3)^(1 - 1)

-4(1/3)^0    Anything to the 0 power (except 0) is 1

-4 (1)

-4

<em><u>n = 2</u></em>

-4(1/3)^(2 - 1)

-4*(1/3)^1

-4/3

<em><u>n = 3</u></em>

- 4(1/3)^2

-4/9

<em><u>n = 4</u></em>

-4/(1/3)^3

-4 / 27

Part B

The series converges.

1/3 is between -1 <= 1/3 <= 1

Part C

<em><u>Formula</u></em>

Sum = a/(1 - r)

a = - 4

r = 1/3

Sum = -4/(1 - 1/3) = -4//2/3 = - 4/(0.666666666...) = -6

Basile [38]3 years ago
3 0

Answer:

-4 (1/3)^(n-1)

Step-by-step explanation:

This is correct. Connexuss.

You might be interested in
Help mee please quickkk asapp
UkoKoshka [18]

Answer:114% percent of her budget is used to entertain

Step-by-step explanation: You just add up all the money and minus it by 40%

7 0
3 years ago
Read 2 more answers
Recent research published by Frumin and colleagues (2011) in the journal Scienceaddresses whether females' tears have an effect
iogann1982 [59]

Answer: Option C.  [0.95, 1.59].

Step-by-step explanation:

We know that the mean is:

M = 1.27

and the margin of error is:

e = 0.32

This means that the actual value can be at a maximum distance of 0.32 from the mean.

then the interval will be:

[M - e, M + e].= [1.27 - 0.32, 1.27 + 0.32].= [0.95, 1.59].

The correct option is C.

3 0
3 years ago
Kate wants to spend less than $100 per day to rent a car. A car rents for $45 per day plus $0.25 per mile. Write, solve, and gra
Bezzdna [24]
Money to be spent per day <$100
To rent a car:
Minimum amount per day= $45
Amount per mile= $0.25

Hence amount spent depends on distance travelled.
If distance travelled= x; fee for travel= 0.25x

Hence finally we need the fare to be less than $100
And fare is $45+0.25x

So the final inequality is 0.25x+45<100.

Hope it helps.
8 0
3 years ago
Express in scientific notation. 0.0872
Aloiza [94]

Answer:

8.72 x 10^-2

Step-by-step explanation:

7 0
3 years ago
Wanda needs to buy packages of colored paper. Each package contains 320 pieces of paper. If she buys 18 packages, how many piece
Vsevolod [243]

Answer:

18 x 320=5,760 pieces of paper

Step-by-step explanation:

5,760

3 0
3 years ago
Other questions:
  • What is the surface area for this triangular prism?
    5·1 answer
  • Frank received a monthly statement for his college savings account. It listed a deposit of $100 as +100.00. It listed a withdraw
    10·1 answer
  • Y'all I need help I'm being timed please
    10·1 answer
  • 4. Mom and Dad solved the following expression: 24 - (3 x 5) +2. Explain which parent is incorrect and why?
    13·1 answer
  • Help me i'm not sure about this one
    13·2 answers
  • Marshall has $0.34 in dimes and pennies. He has 7 coins altogether. How many coins of each kind does he have?
    11·1 answer
  • How we all doing? Can someone explain Graphs!
    6·2 answers
  • 10 wholes 2/5 -7 wholes 3/5
    11·1 answer
  • Algebra 2 question need help thanks.​
    9·1 answer
  • Consider parallelogram ABCD. Which of the following transformations will change the perimeter of the parallelogram?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!