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
Resolve the factors ( xy+z)^2 (y-xz)^2​
skelet666 [1.2K]

Answer:

=x4y2z2−2x3y3z+2x3yz3+x2y4−4x2y2z2+x2z4+2xy3z−2xyz3+y2z2

Make me brainliest

5 0
3 years ago
Read 2 more answers
For 3x^2+5x-2 state the domain and range
FromTheMoon [43]
Domain is all real numbers. 

Range is all real numbers such that y is greater than -49/12
7 0
3 years ago
pleas help I need help with these two! right answers only please asap! will give brainliest to person who explains !
ladessa [460]
For question 4: you have to do (y2 - y1) divided by (x2 - x1) to get the rise over run...

5-2
——. = 3/4
11 - 7


For question 5: input the values of x,y and the gradient into the equation of a line.....

y = mx+ c

-8 = 3(-2) + c

-8 = -6 + c

-2 = c

therefore:

y = 3x - 2

Hope this helps! Any questions let me know :)


7 0
2 years ago
Read 2 more answers
Torrance is shopping for a school party. His donation to the party is snack bags and juice boxes. Snack bags come in packages of
lara [203]

Answer:

Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.

Step-by-step explanation:

Given that:

Snack bags come in packages of 12.

Juice bags come in packages of 10.

To find:

Fewest number of packages of each product so that there are same number of snack bags and juice boxes.

Solution:

Number of snack bags when 1 package is bought = 12

Number of snack bags when 2 package is bought = 24

Number of snack bags when 3 package is bought = 36

Number of snack bags when 4 package is bought = 48

Number of snack bags when 5 package is bought = 60

Number of snack bags when 6 package is bought = 72

Number of juice bags when 1 package is bought = 10

Number of juice bags when 2 package is bought = 20

Number of juice bags when 3 package is bought = 30

Number of juice bags when 4 package is bought = 40

Number of juice bags when 5 package is bought = 50

Number of juice bags when 6 package is bought = 60

Number of juice bags when 7 package is bought = 70

We can see that when 5 packages of snack bags are bought and 6 packages of juice bags are bought, 60 bags of each are bought.

This can be found by finding the LCM as well.

LCM of 10 and 12 is 60.

It means we need to buy 60 bags of each item.

And we can easily find the number of packages for each.

Number of packages of snack bags to be bought = \frac{60}{12} =5

Number of packages of juice bags to be bought = \frac{60}{10} = 6

Torrance must purchase 5 packages of snack bags and 6 packages of juice boxes.

4 0
3 years ago
Jacob needs 48 ounces of tomatoes for the spaghetti sauce. He is choosing between two brands of tomatoes.
OlgaM077 [116]

Answer:

$0.37 and $0.31

Step-by-step explanation:

4 0
2 years ago
Other questions:
  • If a space ship travels 22,500 miles per hour, in 100 hours, it would have traveled 2.25 x 106 miles. true or false
    12·1 answer
  • Camilla has 1\2 pound of raisins that she will divide evenly into 5 bags.Shade the diagram to show the fractional part of a poun
    15·2 answers
  • A series circuit has a capacitor of 0.25 × 10−6 F, a resistor of 5 × 103 Ω, and an inductor of 1 H. The initial charge on the ca
    6·1 answer
  • A taxi cab charges a $3.50 flat fee plus a $1.20 fee mile. Write an equation for the total cost, y, after riding for x miles
    10·2 answers
  • 24 ten thousands + 11 thousands on a chart
    12·1 answer
  • What is the total area? Use 3 for Pi.<br> Answer fast pls!! xx
    9·2 answers
  • Write an equation that has the solution x = −2
    9·1 answer
  • Two different businesses model their profits over 15 years, where x is the year, f(x) is the profits of a garden shop, and g(x)
    8·1 answer
  • ⚠️⚠️⚠️⚠️HELP ME PLLEEAASEE⚠️⚠️⚠️⚠️⚠️
    12·1 answer
  • A bedroom is 15 ft long and 12 ft wide. How much will it cost to carpet the room if carpeting costs $22 per square yard?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!