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laila [671]
3 years ago
9

What is the sum of the infinite geometric series?

Mathematics
2 answers:
grandymaker [24]3 years ago
8 0
<h2>Answer:</h2>

The sum of the  infinite geometric series is:

                                 -288

<h2>Step-by-step explanation:</h2>

We know that the sum of the infinite geometric series:

\sum_{n=1}^{\infty} ar^{n-1}

is given by the formula:

Sum=\dfrac{a}{1-r}

The series is given by:

     \sum_{n=1}^{\infty} (-144)\cdot (\dfrac{1}{2})^{n-1}

By looking at the series we observe that the first term of the series is:

            a=-144

and the common ratio of the series is:

r=\dfrac{1}{2}

Hence, the sum of the series is:

Sum=\dfrac{-144}{1-\dfrac{1}{2}}\\\\Sum=\dfrac{-144}{\dfrac{1}{2}}\\\\Sum=-144\times 2\\\\Sum=-288

Alexandra [31]3 years ago
3 0

Answer:

-288

Step-by-step explanation:

n=1/2 divided by -144. You then just plug that number which is .00347 into n in the equation and use a scientific calculator to find the answer.

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A pet supply store sells dog biscuits and cat treats. The store has 27 boxes of dog biscuits and 21 pouches of cat treats/each b
Gre4nikov [31]

Answer:

There are more cats treats. 504 treats

Step-by-step explanation:

27 boxes of dog biscuits. Each 18 biscuits

27*18=486 biscuits

21 pouches of cat treats. Each 24 treats.

21*24=504

3 0
3 years ago
You volunteer at an animal shelter on the weekends and today is adoption day! At the beginning of the event, you start with 44 c
densk [106]

The equation 44 - x + 2x = 50 can be used to determine the number of cats/kittens adopted.

Step-by-step explanation:

Given,

Number of cats/kittens at the event = 44

Number of cats/kittens at the end of event = 50

Let,

x be the number of cats/kittens adopted

Therefore;

Number of cats/kittens returned = 2x

Number of cats/kittens at the event - adopted + returned = Number at the end of event

44 - x + 2x = 50

The equation 44 - x + 2x = 50 can be used to determine the number of cats/kittens adopted.

Keywords: equation, variable

Learn more about variables at:

  • brainly.com/question/10699220
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#LearnwithBrainly

4 0
3 years ago
This? year, donnelly,? inc., will produce 60 comma 00060,000 hot water heaters at its plant in? delaware, in order to meet expec
juin [17]
Summary of problem.
annual production = 60000 units
work hours per worker = 200*12=2400 hours
productivity = 0.15 unit / person-hour
Need to calculate the number of workers/persons employed.
 
Each unit requires 1 unit / 0.15 unit/person-hour
= 1/0.15 person-hours / unit

60000 unit requires 60000 units * 1/0.15  person-hours/unit
= 400000 person-hours

400000 person-hours requires 400000 person-hours /2400 hours = 166.7 persons 
=>
The plant has 167 labourers  (assuming perfect attendance).

4 0
3 years ago
What is the missing number in the equation.. 35.4 x □ = 3.54. A. 100 B. 10 C. 1/10 D. 1/100
fomenos
The correct answer is 1/10.
4 0
3 years ago
Read 2 more answers
Question 7 of 40
Irina-Kira [14]

Answer:

12

Step-by-step explanation:

5 0
1 year ago
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