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
V125BC [204]
3 years ago
8

Determine whether the sequence converges or diverges. If it converges, give the limit.

Mathematics
1 answer:
Arte-miy333 [17]3 years ago
6 0
<span>the sequence is geometric, with the common ratio being 1/6 (48 * 1/6 = 8

The formula for a geometric sequence is cr^n where "c" is a constan</span>t <span> and "r" is the common ratio 
=48(1/6)^n. 

A geometric series converges only if the absolute value of the common ratio is < It diverges if the ratio is >or equal to 1.
 the ratio is 1/6, so the sequence converges. 

Now in this case, the limit seems to approach 0,
 values can only keep getting smaller.
 If the limit approaches 0, then the series will converge to a definite sum
 S = c / (1 - are) 
S = 48 / (1 - 1/6) 
S = 57.6 

series converges, has a limit of 0,
 sum of 57.6.
hope this helps</span>
You might be interested in
How would i solve 5-8x&lt;2+3 step by step
Sindrei [870]

Answer:

x<0

Step-by-step explanation:

4 0
1 year ago
What is the diameter of a circle with a circumference of 12 pii units
klemol [59]
The diameter is equal to 12.
5 0
3 years ago
In 1990, a magazine collected data and published an article evaluating freezers. It listed 45 models, giving the brand, cost (do
Anna71 [15]

Complete question is;

In 1990​, a magazine collected data and published an article evaluating dryers. It listed 45 ​models, giving the​ brand, cost​ (dollars), size​ (cu ft),​ type, estimated annual energy cost​ (dollars), an overall rating​ (good, excellent,​ etc.), and repair history for that brand​ (percentage requiring repairs over the past 5​ years).

The​ W's are​ Who, What,​ When, Where,​ Why, and hoW.

1) Identify the Who. Choose the correct answer below.

A. 45 models of dryers

B. Dryers

C. Brands of dryers

D. Size of dryers dryers

2) Identify the What. Choose the correct answer below.

A. ​Brand, type, overall rating

B. ​Brand, cost,​ size, type, estimated annual energy​ cost, overall​ rating, repair history

C. Cost, size, estimated annual energy​ cost, repair history

D. ​Brand, cost,​ size, type

3) Identify the When. Select the correct choice below​ and, if​ necessary, fill in any answer boxes within your choice.

A. The data were recorded in 1990.

B. The information is not provided.

4) Identify the Where. Choose the correct answer below.

A. The 45 models of dryers

B. The information is not provided.

C. The population of dryers

5) Identify the Why. Choose the correct answer below.

A. To provide information to the magazine's readers

B. To write an article about dryers

C. To compare the size of the dryers

D. To collect information about dryers

6) Identify the hoW. Choose the correct answer below.

A. The different dryers belonged to the​ magazine's employees.

B. The dryers were chosen at random.

C. The information is not provided.

7) Identify each variable as either categorical or quantitative.

Brand

▼

Categorical

Quantitative

Estimated annual energy cost

▼

Quantitative

Categorical

Cost

▼

Categorical

Quantitative

Overall rating

▼

Categorical

Quantitative

Size

▼

Quantitative

Categorical

Repair history

▼

Quantitative

Categorical

Type

▼

Categorical

Quantitative

8) For each quantitative​ variable, determine the units in which it was measured.

Cost

▼

Dollars

Not specified

Pounds

Estimated annual energy cost

▼

Dollars

Pounds

Not specified

Size

▼

Cubic inches

Cubic feet

Feet

Inches

Not specified

Repair history

▼

Years

Percentages

Not Specified

Answer:

All answered below.

Step-by-step explanation:

1) Option A: 45 models of dryers

2) Option B: ​Brand, cost,​ size, type, estimated annual energy​ cost, overall​ rating, repair history

3) Option A: The data were recorded in 1990.

4) Option B: The information is not provided.

5) Option A: To provide information to the​ magazine's readers

6) Option C. The information is not provided.

7) - Brand variable is Categorical

- Estimated annual energy cost variable is Quantitative

- Cost variable is Quantitative

- Overall rating variable is Categorical

- Size variable is Quantitative

- Repair history variable is Quantitative

- Type variable is Categorical

8) - cost​ is in dollars)

- estimated annual energy cost​ is in dollars

- size​ is in cu. ft

- repair history is in percentages

8 0
3 years ago
Identify the level of measurement of data and explain what is wrong with the given calculation. In a set of data car ranking rep
eimsori [14]

There are different levels of measurement that have been classified into four categories. It is important for the researcher to understand the different levels of measurement, as these levels of measurement play a part in determining the arithmetic and the statistical operations that are carried out on the data.

In ascending order of precision, the four different levels of measurement are:

<span>nominalordinalinterval<span>ratio</span></span>
8 0
3 years ago
A lawn in the shape of the a trapezoid has an area of 1,833 square meters. The length of one base is 52 meters, and th length of
astra-53 [7]
Formula for area of trapezoid is (base a + base b)*h/2 

A = (a+b)*h/2

1833 = (52+42)*h/2

2*1833=94h

3666=94h

h = 3666/94 = 39

the height of trapezoid is equal 39 meters 

hope helped 
4 0
3 years ago
Other questions:
  • Can someone help me with these both
    9·1 answer
  • Tutorial Exercise A boat leaves a dock at 2:00 PM and travels due south at a speed of 20 km/h. Another boat has been heading due
    10·1 answer
  • What is the volume of the cylinder use pie = 3.14 and round to the nearest tenth if needed
    11·1 answer
  • A 23% increase followed by a 17% decrease is what percent change?
    10·2 answers
  • The design shown contains kite ABCD. Which statement is true?
    7·2 answers
  • Devin’s friend Ryan lives 2 blocks west and 5 blocks south of Devin. Devin’s friend Andy lives 7 blocks east and 2 block north o
    14·2 answers
  • Find another point on the line containing the points (-2,-3) and (3,-4)
    9·1 answer
  • Is this question rlly that easy?
    12·2 answers
  • In ABC, what is the measure of C?<br><br> 108°<br><br> 20°<br><br> 18°<br><br> 36°
    7·2 answers
  • Mark and don are planning to sell each of their marble collections at a garage sale. if don has 2 more than 4 times the number o
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!