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
Sergeeva-Olga [200]
3 years ago
5

What is the common ratio of the geometric sequence 16, 24, 36, 54, ...?

Mathematics
2 answers:
Marta_Voda [28]3 years ago
6 0

The common ratio for the geometric sequence is :
<span>32</span>

Explanation:

<span>16,24,36,54</span>

We calculate the common ratio r:
r is obtained by dividing a term by its preceding term

1) <span><span>2416</span>=<span>32</span></span>

2) <span><span>3624</span>=<span>32</span></span>

The common ratio for the geometric sequence is :
<span><span>32</span></span>

kompoz [17]3 years ago
3 0

Answer:  The required common ratio of the given geometric sequence is \dfrac{3}{2}.

Step-by-step explanation:  We are given to find the common ratio of the following geometric sequence :

16,   24,   36,   54,   .   .   .

We know that

the common ratio of a geometric sequence is the ratio of any term to its preceding term.

For the given sequence, we have

a(1) = 16,   a(2) = 24,  a(3) = 36,  a(4) = 54,  .  .  .

So, we get

\dfrac{a(2)}{a(1)}=\dfrac{24}{16}=\dfrac{3}{2},\\\\\\\dfrac{a(3)}{a(2)}=\dfrac{36}{24}=\dfrac{3}{2},\\\\\\\dfrac{a(4)}{a(3)}=\dfrac{54}{36}=\dfrac{3}{2},~~.~~.~~.

Thus, the required common ratio of the given geometric sequence is \dfrac{3}{2}.

You might be interested in
The graph shows the function f(x) = 3x.What is the value of x when f(x) = 9?
Law Incorporation [45]

Answer:

I'm just guessing so don't judge. 3

Step-by-step explanation:

5 0
3 years ago
What is the simple interest on $360 borrowed for 30 months at 12.3%?
astra-53 [7]

Answer:

$110.70

Step-by-step explanation:

<em>I=PRT</em>

P (principal)=360

R(rate)=12.3%

T(time)=30 months (2 and half years)

I=360*12.3%*2.5

=$110.70

Just to note 12.3% is also 0.123 we sometimes change it into a decimal.

3 0
2 years ago
Read 2 more answers
What is 24^2? Use mental math.
AnnZ [28]

Answer:

576

Step-by-step explanation:

calculator

5 0
3 years ago
Find all points on the portion of the plane x+y+z=5 in the first octant at which f(x, y, z) = xy2z2 has a maximum value.
irina1246 [14]
Lagrange multipliers:

L(x,y,z,\lambda)=xy^2z^2+\lambda(x+y+z-5)

L_x=y^2z^2+\lambda=0
L_y=2xyz^2+\lambda=0
L_z=2xy^2z+\lambda=0
L_\lambda=x+y+z-5=0

\lambda=-y^2z^2=-2xyz^2=-2xy^2z

-y^2z^2=-2xyz^2\implies y=2x (if y,z\neq0)

-y^2z^2=-2xy^2z\implies z=2x (if y,z\neq0)

-2xyz^2=-2xy^2z\implies z=y (if x,y,z\neq0)

In the first octant, we assume x,y,z>0, so we can ignore the caveats above. Now,

x+y+z=5\iff x+2x+2x=5x=5\implies x=1\implies y=z=2

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of f(1,2,2)=16.

We also need to check the boundary of the region, i.e. the intersection of x+y+z=5 with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force f(x,y,z)=0, so the point we found is the only extremum.
4 0
3 years ago
Absolute value of 13
natima [27]

Answer:

13.

Step-by-step explanation: the absolute value is the distance away from 0 a number is. 13 is 13 numbers away from 0. the absolute value of negative 5 would simply be 5 since it is still 5 units away from zero, even though it is a negative number.

6 0
3 years ago
Other questions:
  • What is the value of x?
    12·2 answers
  • How do u write negative 2/9 in a decimal
    12·1 answer
  • How would i find y i need helppp
    15·1 answer
  • A customer bought a car and paid $1,080 in sales tax.
    7·2 answers
  • PLEASE HELP !!!!!!!!!! I'LL GIVE BRAINLIST!!!!!!
    14·2 answers
  • If P= (2, 7) and Q= (2, -3), which could be the coordinates of R if triangle PQR is isosceles?
    11·1 answer
  • Two brothers, richard and andrew share a sum £30 in the ratio 3:7 how much does each brother get?
    13·2 answers
  • For what Value of X is ABC~ DEF?​
    14·1 answer
  • HELP PLZZZZZZ PLZZZZZZ I GIVE EXTRA POINTS <br><br> Plz do the last box’s for me
    15·1 answer
  • Solve the equation 2x - 4 = 12
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!