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
Oksi-84 [34.3K]
3 years ago
15

Find an equation for the nth Term of a geometric sequence where the second and fifth terms or -8 and 512, respectively

Mathematics
2 answers:
velikii [3]3 years ago
8 0

Answer:

Tn = -4^n/2

Step-by-step explanation:

The formula for nth tern of a geometric sequence is given as:

Tn = ar^n-1 where;

a is the first term

r is the common ratio

n is the number of terms

Since we are looking for the nth term if the geometric sequence, we will write our answer as a function if 'n'.

Given the second and fifth terms to be -8 and 512, respectively, this can be interpreted as;

T2 = ar^2-1 = -8

T5 = ar^5-1 = 512

From the equations above, we have;

ar = -8... (1)

ar⁴ = 512

Dividing both equation, we have;

ar⁴/ar = -512/8

r³ = -64

r = -4

Substituting r = -4 into equation 1, we have;

a(-4) = -8

-4a = -8

a = 2

Since nth term Tn = ar^n-1

Substituting the value of a and r into the equation will give;

Tn = 2(-4)^n-1

2(-4^n × -4^-1)

2(-4^n × -1/4)

= -4^n/2

zhenek [66]3 years ago
5 0

Answer:

32

Step-by-step explanation:

You might be interested in
PLZ HELP WITH THIS QUESTION!
Bad White [126]

Answer:

D

Step-by-step explanation:

Given the quadratic

d = - 16t² + 12t ← subtract d from both sides

- 16t² + 12t - d = 0 ← in standard form

with a = - 16, b = 12, c = - d

Use the quadratic formula to solve for t

t = ( - 12 ± \sqrt{12^2-(4(-16)(-d))}) / - 32

 = ( - 12 ± \sqrt{144-64d}) / - 32

 = ( - 12 ± \sqrt{16(9-4d)}) / - 32

 = ( - 12 ± 4\sqrt{9-4d}) / - 32

 = \frac{-12}{-32} ± \frac{4}{-32}\sqrt{9-4d}

 = \frac{3}{8} ± \frac{1}{8}\sqrt{9-4d}

 = \frac{3}{8} ± \frac{\sqrt{9-4d} }{8} → D

8 0
3 years ago
What is the surface area of a sphere with radius 2
Gelneren [198K]

Answer:

A

Step-by-step explanation:

The surface area (A) of a sphere is calculated as

A = 4πr² ← r is the radius

here r = 2, hence

A = 4π × 2² = 4π × 4 = 16π units² → A

3 0
2 years ago
Which value of a would make the following expression completely factored?
Margarita [4]

Answer:

when it ur first question and u make it hard

Step-by-step explanation:

Make it easy btw this is your teacher

6 0
2 years ago
A dietitian at a hospital wants a patient to have a meal that has 126 grams of protein, 82 grams of carbohydrates, and 101.5 mil
katovenus [111]
<h3>The dietitian provide 2.5 numbers of salmon steak, 1 baked egg and 2 acorn squash for the patient. </h3>

Step-by-step explanation:

Let

Number of salmon steak = x

Number of baked eggs =y

and Number of acorn squash =z

Total amount of protein that is provided to the patient =40 x +20 y+3 z

Total amount of carbohydrates that is provided to the patient = 20 x+2y +15z

Total amount of vitamin A that is provided to the patient = x+25 y+ 37z

According to the problem,

40x+20y+3z=126,     20x+2y+15z=82    and   x+25y+37z= 101.5

Solving the above equations

we get x= 2.5 ,y= 1 and z=2

So ,  The dietitian provide 2.5 numbers of salmon steak, 1 baked egg and 2 acorn squash for the patient.

4 0
2 years ago
First question. The midpoint of SR is...
Blizzard [7]

The formula of a midpoint SR:

M\left(\dfrac{x_S+x_R}{2},\ \dfrac{y_S+y_R}{2}\right)

We have

S(4, 1) and M(7, -5)

Substitute:

\dfrac{4+x_R}{2}=7\qquad|\cdot2\\\\4+x_R=14\qquad|-4\\\\x_R=10\\\\\dfrac{1+y_R}{2}=-5\qquad|\cdot2\\\\1+y_R=-10\qquad|-1\\\\y_R=-11

<h3>Answer: R(10, -11)</h3>
6 0
3 years ago
Other questions:
  • Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99​% confidenc
    15·1 answer
  • If f(x)=2x+4 find f(x+1)
    14·1 answer
  • The product of victors saving and 9 is 435
    9·1 answer
  • What is the perimeter of a rectangle with a length of 15 ft and a width of 32 ft
    14·2 answers
  • Simplify using the order of operations.
    6·1 answer
  • What is the value of Z, help please
    11·1 answer
  • HALP HALP HALP HALP HALP
    15·1 answer
  • Which of the following is a measure used to describe the typical distance of a
    9·1 answer
  • Identify the variable(s), set up your equation(s), and solve. Richard has an elder sister who is twice his age and a younger sis
    13·1 answer
  • The sum of 7+14+21 + 150 terms​
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!