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
Crazy boy [7]
3 years ago
11

Consider the sequence 3, -9, 27, -81, .. Find the 14th term of the sequence.

Mathematics
2 answers:
bagirrra123 [75]3 years ago
5 0

Answer:

let 'a' be the first term, 'd' be the common difference between all the terms of the sequence

Step-by-step explanation:

therefore, a = 3,

and, d = -9 -3

          = -12

hence the 14th term would be,

=> a + 13d

=> 3 + 13( -12 )

=> 3 - 156

=> - 153

earnstyle [38]3 years ago
5 0

Answer:

<h2>-4782969</h2>

Step-by-step explanation:

The pattern can be seen as just multiplying the current number by -3 and repeating for each succeeding number. By that logic, we can just conventionally keep multiplying -3 until we reach the 14th term. In this case, we get the order

3, -9, 27, -81, 243, -729, 2187, -6561, 19683, -59049, 177147, -531441, 1594323, and lastly -4782969 which is our 14th term.

We can also realize that the 14th term can be found as the 14th power of -3, which also results in -4782969.

You might be interested in
PLEASE HELP ME I NEED HELP
ExtremeBDS [4]

Answer:

  3052.1 in³

Step-by-step explanation:

The volume of a sphere is given by the formula ...

  V = 4/3πr³ . . . . r is the radius

The radius is half the diameter, so is 9 in. Then the volume is ...

  V = (4/3)(3.14)(9 in)³ = 972(3.14) in³ ≈ 3052.1 in³

3 0
2 years ago
Solve: 4|x-1|+2=0<br> :{{{{{{{{{
Ivenika [448]
Answer: no solution
Explanation: 4|x-1| = -2 (subtract 2 from both sides)
|x-1| =-2/4 (divide by 4 on both sides)
|x-1| =-1/2 (simplify)
|x-1| =-1/2
Anything that comes out of an absolute value sign must be positive. But because this is not, this is no solution.
4 0
3 years ago
mark wants to paint a mural. He has 1 1/3 gallons of yellow paint, 1 1/4 gallons of green paint, and 7/8 gallon of blue paint. m
KatRina [158]

we have

Yellow paint

1\frac{1}{3} =(3*1+1)/3\\ \\ =\frac{4}{3} gal

Find the
amount of yellow paint left after painting the mural

(\frac{4}{3} -\frac{3}{4} )=(4*4-3*3)/12\\ \\ =\frac{7}{12} gal

Green paint

1\frac{1}{4} =(4*1+1)/4\\ \\ =\frac{5}{4} gal

Find the
amount of green paint left after painting the mural

(\frac{5}{4} -\frac{3}{4} )=(5-3)/4\\ \\ =\frac{2}{4} gal

Blue paint

\frac{7}{8}gal

Find the
amount of blue paint left after painting the mural

(\frac{7}{8} -\frac{3}{4} )=(7-2*3)/8\\ \\ =\frac{1}{8} gal

Find the
total amount of paint left after painting the mural

\frac{7}{12} +\frac{2}{4} +\frac{1}{8} =\frac{(2*7+6*2+3*1)}{24} \\ \\ =\frac{29}{24} gal

\frac{29}{24} =1\frac{5}{24} gal

therefore

the answer is

1\frac{5}{24} gal

7 0
2 years ago
Read 2 more answers
In part 4 the greatest number is 2390 and the least is 1850. What is the range?
Semmy [17]

Answer:

540

Step-by-step explanation:

In order to find the range you have to subtract the greatest number by the least number.

2390 - 1850 = 540

4 0
3 years ago
Read 2 more answers
What is value of p=0.5t+1 ?
Vinil7 [7]

Answer:

that value is I'm think it's 6

7 0
2 years ago
Other questions:
  • The wavelength​ w, in meters per​ cycle, of a musical note is given by w=r/f, where r is the speed of the sound in meters per se
    15·1 answer
  • A square patio has an area of 200 square feet. How long is each side of patio to the nearest 0.05?
    15·1 answer
  • Select the correct answer.
    7·1 answer
  • 3.2.4 practice modeling slope-intercept Equation of a line
    12·1 answer
  • Please help me on this question<br> thank u
    15·1 answer
  • Distributive property means
    10·2 answers
  • Pleeeeaaaaase help me
    11·1 answer
  • A kilometer is 3,280.8 feet. How many feet long is a meter?
    8·1 answer
  • Every 124 minutes ½ of a drug dosage remains in the body
    8·1 answer
  • What is (-4, 6) and (0, 7) in slope intercept form? :) thank you
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!