write an equation to represent the N'th term of the sequence (2,-1.-4,-7,...)

Answers

Answer 1

Answer: a(n) = 5 - 3n

the sequence has:

a1 = 2

a2 = -1

a3 = -7

.........

we can see that: a2 - a1 = a3 - a2 = -3

=> the sequence is a  arithmetic sequence

=> the distance between the numbers is d = -3

because this sequence is a  arithmetic sequence

=> a(n) = a1 + (n - 1)d = 2 + (n - 1).(-3) = 5 - 3n

Step-by-step explanation:


Related Questions

^70 POINTS
can someone help me with this i rlly need it




The length of a rectangle is 1 inch less than twice its width, and its perimeter is 40 inches. Find the width of the rectangle.


7 in.
13 in.
14 in.




If the second equation is multiplied by 5 and then the equations are added, the result is _____.

x + 5y = 3
2x - y = -2


9x = 13
11x = -7
9x = -7


For the following system, use the second equation to make a substitution for x in the first equation.

x + 3y = 5
x + 7 = 2y

What is the resulting equation?


2y + 2x + 3y = 5
2y + 7 + 3y = 5
2y - 7 + 3y = 5




Graph the following system of equations. Click on the graph until the correct one appears.

y > -x + 1
y ≤ 2x - 3


Find A B if A = {3, 6, 9, 12} and B = {2, 4, 6, 8, 10}.



{6}
{2, 3, 4, 6, 8, 9, 10, 12}


Choose the correct mathematical translation for the given statement.

She is at most twenty years old.


x 20
x ≥ 20

Answers

Answer:

1) 7 in

2) 11x=-7

3)2y - 7 + 3y = 5

4) i DONT'KNOWN

Step-by-step explanation:

1)

step 1

the length of the rectangle is 1 inch less than twice its width ( in other words , you have to subtract  1 to twice the width to get the length)

Let

L represents the length

W represent the width

Hence

Twice width= 2w

Now , replace

L=2w-1 equation (1)

Also

The perimeter =40 inches

[tex]perimeter= 2(L+W) 40=2(L+W) equation (2)[/tex]

Step 2

Solve for w

Replace equation (1) in equation (2)

[tex]40=2(L+W) equation (2)\\40=2((2W-1)+W)\\40=2(3W-1)\\40=6W-2\\Add 2 in both sides\\40+2=6W-2+2\\42=6W\\Divide both sides by 6\\\frac{42}{6}=\frac{6W}{6} \\7=W[/tex]

so ,the width is 7 in.

2) Given the equations

[tex]x+5y=3\\2x-y=-2[/tex]

The  first step is to multiply the second equation by 5 (both sides of the equation)

[tex]5(2x-y=-2)\\5(2x-y)=5.(-2)\\5.2x-5.y=-10\\10x-5y=-10\\[/tex]

Next is to add both equations

x+5=3 +10x-5y=-10 = 11x+0y=-7

The result is 11x=-7

3)[tex]x+3y=5\\x+7=2y[/tex]

To make a substitution for x using the second equation in the first equation you :

1. solve for x the second equation

Subtract 7 in both sides of the equation:

[tex]x+7-7=2y-7\\x=2y-7\\[/tex]

2.Substitute the x in the first equation for the value of x you get in step 1 :

[tex]2y-7+3y=5[/tex]

PLEASE MARK ME AS BRAINLIEST

Im new too this math and i could use a little help !:)

Answers

Answer:

25 degrees

Step-by-step explanation:

A right triangle is considered 90 degrees, so subtract 90 degrees by 65 degrees.

90 - 65 = 25

Hence, angle A equals 25 degrees.

can anyone help please :)

Answers

Answer:

148°

Step-by-step explanation:

the angles are equal

can sum1 do number 3 for me plz i will mark brainliest

Answers

Answer:

Addition-

(9x+27)

Subraction-

(x-63)

Multiplication-

(20x-810)

Division-

(1.25x-0.4)

Step-by-step explanation:

Help and what is function ​

Answers

Depends, maybe an activity or purpose natural to or intended for a person or thing
A function is a relationship or expression involving one or more variables.

y = -4x + 14

Can you help me

Answers

✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌✌

Write down two factors of 18

Answers

Answer:

Any two factors of 18 2 ,3

I think that this is ,that all the factors that 18 has : 1,2,3,6,9,18

The expression 8 + 2x can be written as _____.


4(2 + x)
2(4 + x)
2(4 + 2x)

Answers

Answer: 2(4 + x)

Step-by-step explanation:

i just multiplied across the parentheses. we can rule out the first option, because it would multiply out to be 8 + 4x.

the second option is the one that i calculated second, so i knew that i could rule out the last one my default.

just for kicks, if we multiplied the third option, it would come out to 8 + 4x.

4 plus x then 5 plus two subtracted by 70 million x 50

6. In a class 85% of the students were present on a
certain day. If there were only 34 students present
on that day, how many students were absent on that
day?​

Answers

Answer:

I think it's 6 kids absent

Step-by-step explanation:

Hope this helps

Find the missing angle:
100° 29°
?
A. 60 degrees
B. 55 degrees
C. 51 degrees
D. 90 degrees

Answers

Answer:

c. 51 degrees is the missing angle.

Mr. gracia is at Dunkin' Donuts .he has $17.50 in his pocket ,and he buys a sandwich for $2.50 and 5 coffees using cash . Write an inequality to determine the possible cost of each coffee

Answers

Answer:

The coffee is $3 or less

Step-by-step explanation:

Set up an inequality where c is the cost of one coffee:

17.50 [tex]\geq[/tex] 5c + 2.50

Solve for c:

17.50 [tex]\geq[/tex] 5c + 2.50

15 [tex]\geq[/tex] 5c

3 [tex]\geq[/tex] c

So, the coffee is $3 or less

Solve each question using elimination
-4x-2y=-12
4x+8y=-24

Answers

Answer:

(3,6) or x= 3 and y= 6

(-6,-3) or x= -6 and y= -3

whats the quotient of -72 divided by -9?

Answers

Answer:

8

Step-by-step explanation:

  9 |08|

       72

   -    0

        72

-

         72

            00

400
?
700
700
600
what is the value of c

Answers

Answer:

300?

Step-by-step explanation:

Nancy and bill collect coins. Nancy has x coins. Bill has 9 coins fewer than 5 times the number of coins Nancy has. Write and simplify an expression for the total number of coins Nancy and Bill have.

Answers

Answer:

nicee cat

Step-by-step explanation:

Which graph represents an exponential function?

Answers

Answer:

b

Step-by-step explanation:

The second graph, which represents Table B, represents an exponential function.

What is an exponential function?

Mathematical functions with exponents include exponential functions. f(x) = bˣ, where b > 0 and b 1, is a fundamental exponential function.

Let table A represents the first graph.

x: 0, -1, 1, 2, -2, 3, -3.

y: 0, -1, -1, -4, -4, -6, -6.

And table B represents the second graph.

x:-4, -3,-2.75, -2.  

y: 2, 4, 6, 10

To determine which graph represents an exponential function, we need to recall the properties of exponential functions. An exponential function is a function of the form y = a^x, where a is a constant greater than 0 and not equal to 1.

Looking at table A, we can see that the y-values do not appear to follow an exponential pattern. For example, the y-values for x = 1 and x = -1 are both -1, but the y-value for x = 2 is -4. This is not consistent with the pattern of an exponential function.

Looking at table B, we can see that the y-values do appear to follow an exponential pattern. The y-values increase rapidly as x increases, which is consistent with the pattern of an exponential function. To confirm this, we can calculate the ratio of consecutive y-values:

For x = -4 and x = -3, y increases by a factor of 4/2 = 2.

For x = -3 and x = -2.75, y increases by a factor of 6/4 = 1.5.

For x = -2.75 and x = -2, y increases by a factor of 10/6 = 1.67.

These ratios are not exactly the same, but they are approximately equal to each other. This is consistent with the pattern of an exponential function, where the ratio of consecutive y-values is constant.

Therefore, the second graph, which represents Table B, represents an exponential function.

To learn more about the exponential function;

https://brainly.com/question/14344314

#SPJ7

☆15 points☆ select all that apply!​

Answers

The answers are D & C

please answer my question I will mark brainliest

Answers

Answer:

Wouldn't it be A because the spinner has a 1/8th of a chance to land on a number

Step-by-step explanation:

What is the product?

(6r-1)(-8r-3)

Answers

Answer:

− 4 8 ²  − 1 0 + 3

Step-by-step explanation:

the first one

The first one hoped I helped a bit

What are the coordinates of vertex B' if the figure is rotated
90° counterclockwise about the origin?

Answers

Answer:

Answer: B'(-5,2)

Step-by-step explanation:

Rotations

When rotating a point B(x,y) 90 degrees counterclockwise about the origin it maps to an image point B'(-y,x).

The image shows a figure formed by points ABCD. The coordinates of B are B(2,5).

This point will be rotated 90 degrees counterclockwise about the origin, thus the coordinates of the image point B' are B'(-5,2).

Answer: B'(-5,2)

Please help giving brainiest

Answers

Answer:

(0, -1); maximum

Kayla thinks that the slope of a vertical line is undefined, while Joshua argues that the slope of a vertical line is zero. Who is correct?

Answers

Answer:

Kayla

Step-by-step explanation:

Vertical lines are always undefined because if your answer has to be divided by zero, the answer is an undefined operation.

Horizontal lines always have the slope of zero!

Combining Like Terms
-4x - 2 + 5x = -4
I know the answer is -2 but I don’t know how to get -2

Answers

You have to combine the -4x+5x first
combine the -4x and the 5x
x-2=-4
+2. +2
x=-2

hope this helps!

Which line has a slope of 0.625, and which line has a slope of 1.6?
Explain why the slopes of these lines are 0.625 and 1.6.

Answers

Answer:

The answer is below

Step-by-step explanation:

The equation of a straight line is given by:

y = mx + b; where y and x are variables, b is the y intercept (i.e. value of y when x is zero), m is the slope of the line.

The slope of a line passing through the points [tex](x_1,y_1)\ and\ (x_2,y_2)\ is:[/tex]

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Let the point where the two lines intersect be the origin (0, 0).

Line 1 passes through (0, 0) and (8, 5). Hence:

slope of line 1 = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{5-0}{8-0} =0.625[/tex]

Line 2 passes through (0, 0) and (5, 8). Hence:

slope of line 2 = [tex]\frac{y_2-y_1}{x_2-x_1}=\frac{8-0}{5-0} =1.6[/tex]

16 divided by (x + 4) in WORD FORM

Answers

Answer:

sixteen divded by the sum of x and 4

Step-by-step explanation:

Hey there!

In order to do 16 divided by (x+4), you can first do 16/x + 16/4. Then, simplify 16/4, and then the answer to the question is 16/x + 4.

Hope this is what you were looking for! Let me know if you need more help! Good luck and have a great day!

Hurry plzzz
How many solutions does this system have?
12x-4y--8
y-3x+ 2
O one
O two
O
an infinite number
no solution

Answers

Step-by-step explanation:

12x-4y=-8y=3x+212x-4(3x+2)=-8

12x-12x-8=-8

0=0

I think,no solution

What is the value of 100?

Answers

Answer:

10

Step-by-step explanation:

Means back the numbers into multiples of several small numbers

Like:; 1. We take LCM of 40

Just break into multiples of small number

40= 2×2×2×5

2. We take LCM of 50

50= 5×5×2

So LCM for 100 is 2×2×5×5

after that see the pairs in the LCM like 2×2 or 3×3 or 4×4(same numbers)

Then write the the single number in place of two multipled numbers

Like:; 2×2 is written as 2 // 3×3 is written as 3

So we can write 100 into 2×2×5×5 and then after selecting pairs (2×2)×(5×5)

write pairs in single number 2×5

And so we get 2×5=10

So we find root of 100 that is 10

Value of a hundred is a hundred

A graph of f(x) = 10x2 – 11x – 6 is shown on the coordinate grid. What are the zeros of f(x)?

Answers

Answer:

-2/5 and 3/2

this is the answer for your question i probably send it to late for your answer but i hope it helps


Which expression is NOT equivalent to 2m 3 +4?
A. 4 + 2m
B. 3m2+4
C. 2(m+2)
D. m+m2+3+1

Answers

Answer:

I believe the answer is B,

explanation:

Well,  the others are exactly alike, the first answer is just the two numbers flipped, the third is where multiplication is needed, so (2 x m^3) + (2 x 2) = 2m^3 + 4. and the final one is m^3 plus itself which equals to 2m^3 + 4.

The system of equations id graphed on the coordinate plane.
y=4x +3
y=-X-2
Enter the coordinates of the solution to the system of equations
in the box

Answers

Answer:

;~; ...................IMA FAILL ;;;;;;;;;;----;;;;;;;;;;;;

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