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
dem82 [27]
3 years ago
12

Determine whether the sequence converges or diverges. if it converges give the limit.

Mathematics
1 answer:
posledela3 years ago
8 0
The sequence converges.
The limit of the sequence is 0.

-------------------------------------------------------------

This is a geometric sequence with the first term a = 48 and r = 1/4 = 0.25 as the common ratio. Since |r| < 1, this means that the terms are steadily getting smaller and smaller. The terms will approach 0 but not actually get there.

Note: if you added up all the terms of this infinite sequence, then the sum would be S = a/(1-r) = 48/(1-0.25) = 64
You might be interested in
A rectangular floor is 7 yards long and 3 yards wide. what is the area of the floor in square feet? be sure to include the corre
mario62 [17]
There are a couple ways to do this, but basically you need to convert the units. 

<span>7 yards x 3 ft/yard = 21 feet </span>
<span>4 yards x 3 ft/yard = 12 feet </span>
<span>So the area (in sq. ft) will be: </span>
<span>21 x 12 </span>
<span>= 252 sq. ft. </span>

<span>Alternatively, you can figure the area in square *yards* and then multiply by 9 sq. ft per sq. yard. </span>
<span>7 yards x 4 yards x 9 sq. ft/sq. yard </span>
<span>= 252 sq. ft.

hope this helps :)</span>
4 0
3 years ago
Can somebody help me out with the question
Evgen [1.6K]

Answer:

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Greatest common factor of 48,120
AlekseyPX
Hello. &#10;&#10;Let's figure this out.&#10;&#10;I'll list all the factors to help us answer your question. &#10;&#10;48: 1&#10;2&#10;3&#10;4&#10;6&#10;8&#10;12&#10;16&#10;24&#10;48&#10;&#10;120: 1&#10;2&#10;3&#10;4&#10;5&#10;6&#10;8&#10;10&#10;12&#10;15&#10;20&#10;24&#10;30&#10;40&#10;60&#10;120 &#10;&#10;We can see that the GREATEST common factor (GCF) between&#10;&#10;49 and 120 is: 24&#10;&#10;You're welcome.
5 0
3 years ago
Read 2 more answers
This is my problem. I need help ​
koban [17]

Answer:

1: -3

2: She gives him $3 per week

3: 18

4: How much money she initially borrowed

5: y = -3x + 18

7 0
2 years ago
Diane has 386 coins in her coin collection. There are a total of 112 nickels and 61 dimes in her collection the remaining coins
Dafna1 [17]
Diane has 380 coins (rounded to the nearest 10)
7 0
3 years ago
Other questions:
  • HELP PLSSSSSS (-2) X (3 4/7) Distributive property????
    8·1 answer
  • Chang and Cal both collect pearls. Chang has three more pearls in her collection than Cal. Write an expression to represent the
    14·1 answer
  • A group of people were given a personality test to determine if they were Type A or Type B. The results are shown in the table b
    11·1 answer
  • Which graph shows the solution to the system of linear inequalities?<br> y&lt; 2x-5<br> y&gt;-3x + 1
    11·1 answer
  • Find the area of the semicircle.
    13·1 answer
  • What is the constant of proportionality for the table below?​
    6·1 answer
  • Make your own word problem using 2 equivalent RATES.
    13·1 answer
  • HELPPP!! ASAP NO ROCKY LIL HOMIE I NEED TO PASS THIS YEAH
    8·1 answer
  • Please help me with these thanks!! :)
    13·1 answer
  • Solve for y in the equation x -4y = -4
    14·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!