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
kkurt [141]
3 years ago
9

What is the common ratio between successive terms in the sequence?

Mathematics
1 answer:
Cloud [144]3 years ago
7 0

Question:

What is the common ratio between successive terms in the sequence?

27, 9, 3, 1

Answer:

common ratio = \frac{1}{3}

Step-by-step explanation:

In a geometric progression, the common ratio, r, is the ratio of a term in the sequence to a preceding term in that same sequence. In other words, the common ratio is found by dividing a term by the term just before it. For example, if the geometric sequence is:

a, b, c, d...

The common ratio is found by any of the following;

r = \frac{b}{a}        ----------(i)

r = \frac{c}{b}        -----------(ii)

r = \frac{d}{c}        ------------(iii)

Any of equations (i) through (iii) will give the common ratio of the sequence.

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

Now, from the question, the given sequence is;

27, 9, 3, 1

To get the common ratio, just divide the second term (9) by the first term (27) i.e

r = \frac{9}{27} = \frac{1}{3}

OR

You can also divide the third term (3) by the second term (9). i.e

r = \frac{3}{9} = \frac{1}{3}

OR

You can choose to divide the fourth term (1) by the third term (3). i.e

r = \frac{1}{3}

Which ever adjacent terms you choose gives you the same result. Therefore, the common ratio of the given sequence is \frac{1}{3}

You might be interested in
What’s the answer?? <br><br> B/18=-6
erastova [34]

Answer:  -108/+18 = -6

Step-by-step explanation: Multiply 18 by -6 for B then it simplifies out.

3 0
3 years ago
Read 2 more answers
A dental filling is 9 carats. what percent of the filling is gold?
alexandr1967 [171]

Answer:

Lower than 50%

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
Is a÷6 is greater than 1
notsponge [240]

Answer: is the suposed to be -6 if it is no not grater then 1

Step-by-step explanation:

5 0
2 years ago
I need help on b i dont understand
Savatey [412]
Mean is adding all the goals together then dividing by how many games there were so it’d be 48/8 = 6
8 0
3 years ago
Read 2 more answers
14. Point P has the coordinates (-2,-4). Point P is dilated with a center at the origin and
DedPeter [7]

Answer:

Step-by-step explanation:

The answer is b (1,-1)

3 0
3 years ago
Other questions:
  • 14 + 5x = 3(-x + 3) -11 please show work step by step
    7·1 answer
  • The answer to eaquivalent fraction 1×2/3×4 answer.
    10·1 answer
  • Use the information provided to determine a 95% confidence interval for the population variance. A researcher was interested in
    12·1 answer
  • At southern states university ssu there are 719 students taking finite mathematics or statistics. 328 are taking finite mathemat
    6·2 answers
  • In a video game, Agnes scored 20% fewer than Amy. Amy scored 860
    7·1 answer
  • “Puppies are cute animals.”<br> 1. Write the quote as a conditional statement.
    15·1 answer
  • What is 2/3=????????​
    7·2 answers
  • What is the zero of r(x)=8/3<br> - 16?
    6·1 answer
  • Couldn't write, added a file
    8·2 answers
  • Laptop A weighs one point two five kilograms. Laptop B weighs three hundred grams less. What is the weight of laptop B?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!