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
Sholpan [36]
3 years ago
12

The second term in a geometric sequence is 12. The fourth term in the same sequence is 4/3. What is the common ratio in this seq

uence?
Mathematics
2 answers:
aniked [119]3 years ago
3 0
The common ratio in this sequence is 6:2 or 4:3
Lapatulllka [165]3 years ago
3 0

Answer:

The common ratio is r=\pm\frac{1}{3}.

Step-by-step explanation:

Given : The second term in a geometric sequence is 12. The fourth term in the same sequence is 4/3.

To find : What is the common ratio in this sequence?

Solution :

The nth term of G.P is a_n=ar^{n-1}

The second term in a geometric sequence is 12.

i.e. a_2=ar^{2-1}

12=ar .....(1)

The four term in a geometric sequence is \frac{4}{3}.

i.e. a_4=ar^{4-1}

\frac{4}{3}=ar^3 .....(2)

Divide (1) and (2),

\frac{\frac{4}{3}}{12}=\frac{ar^3}{ar}

\frac{1}{9}=r^2

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

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

Therefore, the common ratio is r=\pm\frac{1}{3}.

You might be interested in
7 movie tickets cost $25.00
horsena [70]

Answer:

3 remaining of 4

Step-by-step explanation:

25÷7=3remainder of 4

3 0
3 years ago
F(x) = 2(x + 6), find x if f(x) = 22
Ksivusya [100]
   F(x) = 2(x + 6)      Plug in 22 for x
F(22) = 2(22 + 6)    Use the Distributive Property
F(22) = 44 + 12       Add
F(22) = 56
7 0
2 years ago
Read 2 more answers
Which type of graph is typically not used for quantitative data?
Zigmanuir [339]
The answer is E histogram
4 0
3 years ago
What do we call these types of fractions?<br><br> 1/2 and 5/10
ruslelena [56]
This are fractions because they are not mixed fraction by the way those two are 0.5
6 0
2 years ago
Read 2 more answers
HELPS PLS ryad borrowed $1450 and made 18 payment of $95.25 how much did he pay in interest?
BaLLatris [955]
First calculate total payments
18×95.25=1,714.5

After that to find the interest you just subtract the amount borrowed from the total payments
Interest=1,714.5−1,450=264.5

Hope it helps!
3 0
3 years ago
Other questions:
  • Which expressions are equivalent to 4(4a+5) ?Choose 3 answers: (Choice A) 16a+5 (Choice B,) 16a+20 (Choice C) 12a+20+4a (Choice
    15·1 answer
  • Find the equation of the parabola that passes through the points:<br> (0,5) (1,7) (-2,19)
    8·2 answers
  • A soccer ball is placed 12 feet away from a goal post that measures 8ft high. You kick the ball and it hits the crossbar at the
    5·1 answer
  • 1 + 1 2 ⋅ (4x − 6) = −2
    15·2 answers
  • Multiplying a number by 2 two and then dividing by 3 is the same as multiplying by what number?
    15·1 answer
  • You rent an apartment that cost $800 per month during the first year, but the rent is set to go up 12.5% per year. What would be
    13·1 answer
  • Write twenty three and four hundredths as a decimal
    9·2 answers
  • The graphic shows the 108 students
    6·1 answer
  • 15 POINTS TO WHOEVER
    12·1 answer
  • What is the next term of theWhat is the next term of the arithmetic sequence? -3,-7,-11,-15,
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!