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
chubhunter [2.5K]
3 years ago
11

What is a formula for the nth term of a given sequence

Mathematics
2 answers:
Sedbober [7]3 years ago
7 0

Answer:

a_{n} = -12-4(n-1)

Step-by-step explanation:

We have given a arithmetic sequence.

-12,-16,-20,...

We have to find formula for a given sequence.

The general formula for nth term of sequence is :

a_{n} = a_{1}+d(n-1)

In given sequence,

a_{1} = -12

d is the common difference between consecutive terms.

d = -16-(-12)  = -16+12

d = -4

Putting given values in formula, we have

a_{n} = -12-4(n-1) which is the answer.

IceJOKER [234]3 years ago
5 0

Answer:

a_n=-12-4(n-1)

Step-by-step explanation:

The given sequence is

-12,-16,-20...

The first term of this sequence is a_1=-12.

The common difference is

d=-16--12

d=-16+12=-4

The nth term of this arithmetic sequence is;

a_n=a_1+d(n-1)

We substitute the values for the first term and the common difference to obtain;

a_n=-12-4(n-1)

You might be interested in
How do I round off to the nearest decimal place​
Marrrta [24]
First, find the digit in the place you are rounding to. Look at the digit one place to the right. If the digit is less than 5, round down. If the digit is 5 or greater, round up.
For example: round 1.86 to the nearest tenth
Look at the tenth digit (8). The number to the right of it is 6. Since it’s above 5, round the 8 up to 9. So you would get 1.9.

If it was 1.84, since 4 is less than 5, you would not round the 8, and you would get 1.8
3 0
3 years ago
PLEASE HELP
AnnZ [28]

Answer: 7

Step-by-step explanation:

1. multiply both sides by -6 so the -6 on the right side could cancel out and the left side would be -6:  1= a-13/-6 ==> -6=a-13

2. add both sides by 13 so -13 on the right side could cancel out and the left side would be -6+13: -6=a-13 ==> -6+13=a-13+13

3. you know -6+13 equals 7 right? so the answer is a=7

5 0
3 years ago
Read 2 more answers
Angles 5 and 2 are??
Fed [463]

Answer:

Angles 5 and angle 2 are supplementary angles

Step-by-step explanation:

Angle 2 and angle 6 are corresponding angles and corresponding angles are equal when we have parallel lines

Angles 5 and angle 6 are supplementary angles since they form a line

Replace angle 6 with angle 2 since they are equal

Angles 5 and angle 2 are supplementary angles

5 0
3 years ago
A field is to be fertilized at a cost of $0.07 per square yard. The rectangular part of the field is 125 yd long and the diamete
Dmitry [639]

Answer:

The cost of fertilizing the field is \$437.96

Step-by-step explanation:

we know that

The area of the figure is equal to the area of the rectangle plus the area of a complete circle (two semicircles)

Step 1

Find the area of the rectangle

The area of rectangle is equal to

A=LW

where

L is the length side of rectangle

w is the width side of the rectangle

In this problem we have

L=125\ yd

W=D=40\ yd

substitute

A=125*40=5,000\ yd^{2}

Step 2

Find the area of the circle

The area of the circle is equal to

A=\pi r^{2}

where

r is the radius of the circle

In this problem we have

r=40/2=20\ yd

substitute

A=\pi (20)^{2}=1,256.64\ yd^{2}

Step 3

Find the area of the figure

Adds the area of rectangle and the area of the circle

5,000\ yd^{2}+1,256.64\ yd^{2}=6,256.64\ yd^{2}

Step 4

Find the cost

Multiply the total area by 0.07 \frac{\$}{yd^{2} }

so

6,256.64*0.07=\$437.96

5 0
3 years ago
How many cups did eddy order
IrinaK [193]

Answer:

9.

Step-by-step explanation:

334÷38=8.79, rounded up to 9.

4 0
3 years ago
Read 2 more answers
Other questions:
  • The length of a rectangle is represented by L. If the width of the rectangle is one-half of its length, represent its width.
    6·2 answers
  • :Which graph shows the solutions the following inequality?:<br> 4d - 6 &lt; 18
    8·2 answers
  • 3.) Select the FALSE statement:
    7·1 answer
  • Find a 3 by 3 magic square using numbers 2,5,8,12,15,18,22,25,29
    9·1 answer
  • Marco draws a card and replaces it 10 times from a standard deck of 52 cards. He draws 8 red cards and 2 black cards. What is th
    8·2 answers
  • What is the format of this proof?
    14·1 answer
  • Which expression is equivalent to<br> (5^-2)(5^-1)<br> A. -1/125<br> B. -1/5<br> C. 1/125<br> D. 1/5
    8·1 answer
  • ILL GIVE BRAINLIES!!!!<br> Please explain! Thank you!
    11·2 answers
  • A rectangular prism has 6 layers of unit cubes. The prism is made up of a total of 48 unit cubes
    8·1 answer
  • The following are the temperatures of 10 days in winter in °C. − 3 , 0 , 10 , 2 , 8 , − 5 , − 1 , 9 , 2 , − 3 Work out the mean
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!