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
ValentinkaMS [17]
3 years ago
15

What is the common ratio of the geometric sequence whose second and fourth terms are 6 and 54, respectively?

Mathematics
2 answers:
Maslowich3 years ago
7 0
A₂ = 6      a₄ = 54

a_{n}  =  q^{n-1}  *  a_{1} 

\left \{ {{ a_{2} = q^{2-1} * a_{1} } \atop { a_{4} = q^{4-1}* a_{1}  }} \right.   \\  \\  \left \{ {{6 = q *  a_{1} } \atop {54 =  q^{3} *  a_{1}  }} \right.   \\  \\   \left \{ {{  a_{1} = \frac{6}{q} } \atop {54 = q^{3} * \frac{6}{q}  }} \right.  \\  \\   \left \{ {{ a_{1}  =  \frac{6}{q} } \atop {54 =  q^{2} * 6 }} \right. 

\left \{ {{ a_{1} =  \frac{6}{q} } \atop { q^{2} =9}} \right.  \\  \\  \left \{ {{ a_{1} = \frac{6}{q} } \atop {q= \sqrt{9} }} \right. 
 
q = 3     q = -3

a₁ = 6/3 = 2   a₁ = 6/-3 = -2
Lemur [1.5K]3 years ago
5 0
Hi there! T4=T2×r²,6r²=54. Therefore, the answer would be 3.
You might be interested in
Write 5 7/8 in an improper fraction
maw [93]
47/8
                    wwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwwww

7 0
3 years ago
A length of string is 42 1/2 inches long.
agasfer [191]

Answer:

5 5/16

Step-by-step explanation:

you just divide 42 1/2 by 8

6 0
3 years ago
Read 2 more answers
You will need 120 feet of fencing to put all the way around a rectangular garden. The length of the garden is 40 feet. What is t
GREYUIT [131]

Answer:

A. 20 ft

Step-by-step explanation:

(120/2)-40=20

3 0
3 years ago
Read 2 more answers
If 30% of a number, p, is 240, what is 72% of p? giving brainliest
Mnenie [13.5K]

Answer:

576

Step-by-step explanation:

30/ 100 x p = 240

p = 240 x 100/30 = 800

72/ 100 x p=

72/100 x 800 = 576

I hope im right!!

3 0
3 years ago
Read 2 more answers
3/4ths multiplied by x equals 4 7/8ths what is x
alexandr402 [8]

Answer:

x=13/2

Step-by-step explanation:

3/4x=4 7/8

x= 4 7/8 divided by 3/4

x=13/2

check

3/4*13/2=39/8

=4 7/8

7 0
3 years ago
Other questions:
  • Can I get some help on these please
    14·2 answers
  • Plz gimme the right anwser
    13·2 answers
  • after 3.5 hours, Pasha had traveled 217 miles. if she travels ata constant speed, how far will she have traveled after 4 hours?
    12·2 answers
  • Heather lives 7 / 10 mile from theschool and 2 / 5 miles from the library . How much closer does Heather live to the library tha
    14·1 answer
  • What's the value of z?<br><br><br>Please Help ​
    11·1 answer
  • What is the chance that a person randomly selected off the street was born in May
    15·1 answer
  • In ΔLMN, the measure of ∠N=90°, NL = 6.8 feet, and LM = 9.4 feet. Find the measure of ∠L to the nearest tenth of a degree.
    11·2 answers
  • Please Help Me!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
    13·2 answers
  • Can someone pls explain how to solve the equation using two different first steps
    12·1 answer
  • Which best explains whether or not all isosceles triangles are similar?
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!