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
White raven [17]
3 years ago
8

Please help! find the common ratio of the geometric sequence. -1/4, 1/16, -1/64, 1/256,... A. 1/64 B. -1/4 C. -1/16 D. 1/16 E. 1

/4​
Mathematics
2 answers:
Ahat [919]3 years ago
8 0
<h3>Answer:  B) -1/4</h3>

=====================================================

Explanation:

Pick any term of the sequence that isn't the first term. Divide whatever you picked by the previous term. That will compute the common ratio. This applies to geometric sequences only.

So let's say we pick on term 3 and divide it over term 2. That will get us...

r = \left(\text{3rd term}\right) \div \left(\text{2nd term}\right)\\\\r = -\frac{1}{64} \div \frac{1}{16}\\\\r = -\frac{1}{64} \times \frac{16}{1}\\\\r = \frac{-1*16}{64*1}\\\\r = -\frac{16}{64}\\\\r = -\frac{16}{16*4}\\\\r = -\frac{1}{4}\\\\

Where r is the common ratio.

As another example, let's say we picked on term 4 and divided it over the third term

r = \left(\text{4th term}\right) \div \left(\text{3rd term}\right)\\\\r = \frac{1}{256} \div -\frac{1}{64}\\\\r = \frac{1}{256} \times -\frac{64}{1}\\\\r = \frac{1*(-64)}{256*1}\\\\r = -\frac{64}{256}\\\\r = -\frac{64}{64*4}\\\\r = -\frac{1}{4}\\\\

We get the same result. I'll let you try dividing the second term over the first term. You should get r = -1/4 after simplifying.

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

Because the common ratio is r = -1/4, this means that we multiply each term by the common ratio to generate the next term.

For instance,

term 3 = (term 2)*(common ratio)

term 3 = (1/16)*(-1/4)

term 3 = -1/64

which matches with the given sequence

Alex Ar [27]3 years ago
3 0

Answer:

B    -1/4

Step-by-step explanation:

To find the common ratio, divide any term by the previous term.

1/16 ÷ -1/4 = 1/16 * -4 = -4/16 = -1/4

You might be interested in
How to solve 6x+5x-4=2x-8
solniwko [45]
6x+5x-4=2x-8~~~First we simplify(add 6x and 5x)
11x-4=2x-8~~~Now add 4 to both sides
       +4      +4
11x=2x-4~~~~Remove 2x from both sides now.
-2x   -2x
9x=-4~~~~Now divide by 9x
÷9x ÷9x

x= -4/9

6 0
3 years ago
Read 2 more answers
Besides using the proper formula, what must you be cautious of when calculating the area of geometric
abruzzese [7]

Answer:

be cautious of the answer

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
The larger of two numbers is 1 less than 3 times the smaller. their sum is 63. find the numbers
dybincka [34]

Your answer would be 5 and 2 :)

7 0
3 years ago
Read 2 more answers
1/4ab+1/3ab=12+1/2ab geometry help
Shkiper50 [21]

Answer:

ab=1/12

Step-by-step explanation:

1/(4ab)+1/(3ab)-1/(2ab)=12

1/(ab)*[1/4+1/3-1/2]=1/12

1/(12ab)=1/12

ab=1

6 0
3 years ago
How to find the averge
sasho [114]
If you mean average, then it's quite simple.
Usually when you want to find the average of something, you add them up all together and divide by how many there are.
 
For example, the numbers:
12, 69, 35, 67, and 2.

Steps:
1.) Add them. 12 + 69 + 35 + 67 + 2 = 185
2.) 185 divided by 5. 
3.) Answer: 37
5 0
3 years ago
Other questions:
  • When diving a bald eagle can reach a speed of 200 miles per hour what is this speed in in feet per second
    12·1 answer
  • If a student was randomly guessing while completing a 20 question multiple choice exam, what is the probability they would score
    5·1 answer
  • What is the equation of a line passing through (-6, 5) and having a slope of 1/3 ? A. B. C. D. y = 3x + 7
    15·2 answers
  • Write as a unit rate: 66 miles to 3 gallons *
    10·2 answers
  • NEED HELP ASAP
    14·1 answer
  • you buy a rooster for the purpose of laying eggs and you expect to get three eggs each day for breakfast, how many eggs will you
    11·1 answer
  • Terrell got 1 3/4 pounds of ground meat and 2 1/6 of ground chicken. he used 1 2/3 pounds of ground chicken to make a casserole.
    11·1 answer
  • <img src="https://tex.z-dn.net/?f=%5Ctt%5Chuge%5Cred%7BPlease%20%5C%3A%20help%20%5C%3A%20me%21%7D" id="TexFormula1" title="\tt\h
    7·1 answer
  • 4-1/4 with no decimal point​
    12·1 answer
  • P Simplify using
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!