What are the first 3 terms in. t(n)=-2n+7

Answers

Answer 1

Answer:

The first 3 terms of the sequence [tex]t(n)=-2n+7[/tex] are:

[tex]5, 3, 1[/tex]

Step-by-step explanation:

Given the sequence

[tex]t(n)=-2n+7[/tex]

Here [tex]n[/tex] represents any term number in the sequence

Determining the first term

substitute n = 1 in the sequence to determine the first term

[tex]t(n)=-2n+7[/tex]

[tex]t(1)=-2(1)+7[/tex]

[tex]t(1)=-2+7[/tex]

[tex]t(1) = 5[/tex]

Determining the 2nd term

substitute n = 2 in the sequence to determine the 2nd term

[tex]t(n)=-2n+7[/tex]

[tex]t(2) = -2(2) + 7[/tex]

[tex]t(2) = -4 + 7[/tex]

[tex]t(2) = 3[/tex]

Determining the 3rd term

substitute n = 3 in the sequence to determine the 3rd term

[tex]t(n)=-2n+7[/tex]

[tex]t(3) = -2(3) + 7[/tex]

[tex]t(3) = -6 + 7[/tex]

[tex]t(3) = 1[/tex]

Therefore, the first 3 terms of the sequence [tex]t(n)=-2n+7[/tex] are:

[tex]5, 3, 1[/tex]


Related Questions

Will's band played 33 shows in three months. How many shows per month did they play?

Answers

Answer:

11

Step-by-step explanation:

33÷3= 11

11 shows every month

f(x) = -1152 – 90x® + 216x2 + 288x + 9x4

Answers

Answer:

F(x) = 43/16 (43 over 16)

How would I get the answer to this problem.

Answers

Answer:

[tex]\displaystyle m=\frac{-1}{3}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (3, 7)

Point (9, 5)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                            [tex]\displaystyle m=\frac{5-7}{9-3}[/tex][Fraction] Subtract:                                                                                          [tex]\displaystyle m=\frac{-2}{6}[/tex][Fraction] Simplify:                                                                                          [tex]\displaystyle m=\frac{-1}{3}[/tex]

The amount earned in dollars for recycling p pounds of copper is 2p. How much do you earn for recycling 28 pounds of copper

Answers

Answer:

56 dollars are earned for recycling 28 pounds of copper.

Step-by-step explanation:

Quantity of copper recycled = [tex]p[/tex] pounds

Amount earned in dollars for recycling [tex]p[/tex] pounds of copper = [tex]2p[/tex]

Also,

Quantity of copper recycled = [tex]28[/tex] pounds

Therefore,

Amount earned in dollars for recycling [tex]28[/tex] pounds of copper = [tex]2(28)=56[/tex] dollars

So,

56 dollars are earned for recycling 28 pounds of copper.

Solve for x. Round to two decimal places if necessary.

Answers

Answer:

Length of JK is 68.27 units.

Step-by-step explanation:

By applying geometric mean theorem (leg theorem) in the triangle attached,

[tex]\frac{KL}{KM}= \frac{JK}{KL}[/tex]

(KL)² = (KM)(JK)

(32)² = (15)(x)

x = [tex]\frac{1024}{15}[/tex]

x = 68.2666

x ≈ 68.27

Therefore, length of JK is 68.27 units.

The area of a typical eardrum is about 5.00 10-5 m2. (a) Calculate the average sound power incident on an eardrum at the threshold of pain, which corresponds to an intensity of 1.00 W/m2. 5e-5 Correct: Your answer is correct. W (b) How much energy is transferred to the eardrum exposed to this sound for 4.10 min

Answers

Answer:

5 * 10^-5 W

1.23 * 10^-2 J

Step-by-step explanation:

Given that :

Area = 5 * 10^-5 m²

Threshold of Pain = Intensity = 1.00 W/m2

Using the relation:

Intensity = power / Area

Hence,

Power = Intensity * Area

Power = 1 W/m² * 5 * 10^-5 m²

Power = 5 * 10^-5 W

Energy transferred to eardrum. Exposed for 4.10 minutes :

Using the relation :

Energy = Power * time

Energy = 5 * 10^-5 * (4.10 * 60 seconds)

Energy = 5 * 10^-5 W * 246 s

Energy = 0.0123

= 1.23 * 10^-2 J

Simplify the expression:
-10(32-6)
—————
3

Answers

Answer: -260

Step-by-step explanation:

Answer:

-260

Step-by-step explanation:

First, we have to distribute -10 to 32 and -6, since 32 - 6 is in parentheses.

So, the expression becomes -320 + 60, because -10 × 32 = -320 and -10 × -6 = 60.

So, -320 + 60 = -260

help I'm doing an assignment and im stuck

Answers

Answer your answer is correct it is 9

Step-by-step explanation:

Answer:your correct! btw heyy

Step-by-step explanation:

Help me with those two questions

Answers

Given:

A figure in which a transversal line intersect two parallel lines.

[tex]m\angle 2=4x+7, m\angle 7=5x-13, m\angle 5=68[/tex] and [tex]m\angle 3=3y-2[/tex].

To find:

The value of x and y.

Solution:

We know that, if a transversal line intersect two parallel lines, then

(1) Alternate exterior angles are equal.

(2) Same sided interior angles are supplementary. So their sum is 180 degrees.

In the given figure j and k are parallel lines and l is a transversal line.

From the given figure, it is clear that,

[tex]m\angle 2=m\angle 7[/tex]                (Alternate exterior angles are equal)    

[tex]4x+7=5x-13[/tex]

[tex]7+13=5x-4x[/tex]

[tex]20=x[/tex]

Therefore, the value of x is 20.

Now,

[tex]\angle 3+\angle 5=180[/tex]     (Same sided interior angles are supplementary)

[tex]3y-2+68=180[/tex]

[tex]3y+66=180[/tex]

[tex]3y=180-66[/tex]

[tex]y=\dfrac{180-66}{3}[/tex]

[tex]y=\dfrac{114}{3}[/tex]

[tex]y=38[/tex]

Therefore, the value of y is 38.

Find the area of the polygon pls

Answers

Given:

The figure of a polygon.

To find:

The area of the polygon.

Solution:

Area of a triangle is

[tex]Area=\dfrac{1}{2}\times Base\times Height[/tex]

Area of trapezoid is

[tex]Area=\dfrac{1}{2}(a+b)h[/tex]

Where, a, b are bases and h is the height.

The area of the triangle with base 6 cm and height 8 cm is

[tex]A_1=\dfrac{1}{2}\times 6\times 8[/tex]

[tex]A_1=24[/tex]

Height of the trapezoid is [tex]13-8=5\ \text{cm}[/tex] and the bases are 6 cm, 12 cm. So, the area of the trapezoid is

[tex]A_2=\dfrac{1}{2}(6+12)(5)[/tex]

[tex]A_2=\dfrac{1}{2}(18)(5)[/tex]

[tex]A_2=(9)(5)[/tex]

[tex]A_2=45[/tex]

Now, the total area of the polygon is

[tex]A=A_1+A_2[/tex]

[tex]A=24+45[/tex]

[tex]A=69[/tex]

Therefore, the area of the polygon is 69 sq. cm.

write an equivalent expression for 4(g-6)-7g. Simplify the expression.

Answers

Answer:

-3g-24

Step-by-step explanation:

4(g-6)-7g

= 4g-24-7g

= -3g-24

What is the solution of the system? Use elimination.

3 (-5x-2y=6)
3x+6y=6

Answers

Answer:

x = -2 and y = 2

Step-by-step explanation:

The given equations are :

-5x-2y=6 ...(1)

3x+6y=6 ...(2)

Multiply equation (1) by 3. SO,

-15x-6y=18 ...(3)

Adding equation (2) and (3).

3x+6y-15x-6y = 6+18

-12x = 24

x = -2

Put the value of x in equation (1).

-5(-2)-2y=6

10-2y=6

4=2y

y = 2

So, the value of x is -2 and y is 2.

A paint store sells an orange paint that is made by combining 7 parts red with 4 parts
yellow. A customer tried to recreate the order at home, but made a mistake. Her
container has 4 parts red paint and 8 parts yellow paint. How much red paint does she
need to add to get the correct shade of orange?

Answers

Answer:

10 parts red paint

Step-by-step explanation:

she doubled the amount of yellow paint in the can at home, so you will need to add twice the amount of red paint. 7×2=14, 14-4= 10.

helpppp plssss :))))))((((

Answers

Answer:

a= 80

b= .25

Step-by-step explanation:

We know that a has to equal 80 because

[tex]a(b)^0=80\\a=80[/tex]

We can then just solve for b

[tex]80(b)^1=20\\b=\frac{20}{80} \\b=.25[/tex]

Can anybody help me with this please

Answers

Answer:

c

Step-by-step explanation:

180-24-30=126

3x-9=126

3x=135

x=45

find the missing angle​

Answers

Answer:

50°

Step-by-step explanation:

65+65+<z = 180

130+ <z = 180

<z = 50°

Find the median of the set of data.
5 10 18 36 29 18 15 10

Answers

Answer:

Put them in order 5 , 10 , 10, 15, 18, 18, 29, 3615+18/2 = 16.5

To keep her pet groundhog Marley happy, Gwen built a rectangular pen for Marley with an area of 242 square feet. She only had 66 feet of fencing to use, and wanted the length to be twice as long as the width. What are the dimensions of the pen?

Answers

seitz seirz seitz seit

Question 10 of 10
Which of the following is(are) the solution(s) to . |x+8|= 1?

Answers

Answer:

The solutions are x = -7 and x = -9

Step-by-step explanation:

All absolute values are non-negative numbers, so x + 8 will always be greater than 0. This means that |x + 8| = 1 can be represented as x + 8 = 1 AND x + 8 = -1.

x + 8 = 1 ⇒ x = -7

x + 8 = -1 ⇒ x = -9

So the solutions are x equals -7 or -9.

Find the geometric mean for the pair of numbers,
5 and 9.8

Answers

Answer:

7

Step-by-step explanation:

To find the geometric mean of two numbers, just find the product of those numbers and take the square root!

5 x 9.8 = 49

√49 = 7

I hope this helped!

Sincerely,

Rekifromsk8theinfinity

:D

PLEASE HELP :))
3
Solve for x.
6
12
5
r-1

Answers

Answer:

12 is the answer

Step-by-step explanation:

12 is the answer

What digit has the thousandths value in two hundred forty-six ten thousandths? *
1 point
A. 2
B. 6
C. 4
D. 10​

Answers

The answer is D, 10 is in the thousandths place
The answer is 6, answer B

Evaluate 2x − 2 for x = 0, x = 1, and x = 2.

Answers

Answer:

-2, 0, and 2

Step-by-step explanation:

For x=0:

2(0) -2

0-2

-2

For x=1:

2(1)-2

2-2

0

For x=2:

2(2)-2

4-2

2

Answer:

its -1, 0, 2

Step-by-step explanation:

Pls help me you don't need to explain. ❤️❤️❤️

Answers

Answer:

6

Step-by-step explanation:

It goes up 6 and 1 across 6/1 = 6

Answer: 6

Step-by-step explanation:

The easiest way to find slope is by [rise/run] or literally the y value over the x value. In this way, you need to find two points that are on the intersections of the gridlines, then count the units in between

---------------------------------------------------------------------------

(-8, 4) (-9, -2)

 Rise/run

= 6/1

= 6

Hope this helps!! :)

Please let me know if you have any questions

PLEASE HELP ITS DUE AT 11:59

Solve for the value of y.


(9y-6)° 51°

Answers

Answer:

5

Step-by-step explanation:

This is a right angle which means it is equal to 90. The angle is separated into two parts as shown - the sum of these two parts is equal to 90.

Calculations:

9y - 6 + 51 = 90

9y + 45 = 90

9y = 45

y = 5

it’s 5
habsjsjs jkjk

the line with a slope of 1/3 and a y- intercept of - 15 intersects the line passing through which of these pairs of points?

Answers

Answer:

Options (C), (D) and (E)

Step-by-step explanation:

Slope of the given line = [tex]\frac{1}{3}[/tex]

Any line having same slope will be parallel to the given line otherwise the lines will intersect.

Therefore, we will find the slope of the lines passing through two points given in the options.

Option A

Slope of the line passing through (12, -13) and (15, -12)

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

   = [tex]\frac{-13+12}{12-15}[/tex]

   = [tex]\frac{1}{3}[/tex]

Therefore, both the lines are parallel having no point of intersection.

Option B

Slope = [tex]\frac{-9+7}{18-24}[/tex]

          = [tex]\frac{1}{3}[/tex]

Both the lines are parallel having no point of intersection.

Option C

Slope = [tex]\frac{-20+21}{15-18}[/tex]

          = [tex]-\frac{1}{3}[/tex]

Therefore, both the lines will intersect.

Option D

Slope = [tex]\frac{-15+14}{30-36}[/tex]

          = [tex]\frac{1}{6}[/tex]

Both the lines will intersect each other.

Option E

Slope = [tex]\frac{-11+10}{24-30}[/tex]

          = [tex]\frac{1}{6}[/tex]

Both the lines will intersect each other at a point.

Options (C), (D) and (E) are the correct options.

PLEASE HELP!!!!!!!!!

Answers

Answer:

A

B

C

D

E

Step-by-step explanation:

You need 180 or 360 degrees to make a Cyclic Quadrilateral.

So, if you add all of the expressions. You get 360.

Hopefully, you get it right!

how do I find the area of the composite figure?​

Answers

A = 119.4in^2

hope it's helpful ❤❤❤❤

THANK YOU.

If g(x) = x^2-5, find the value(s) of x so that:
a. g(x)= 20
b. g(x) = 6

Answers

9514 1404 393

Answer:

  a)  x = ±5

  b)  x = ±√11 ≈ ±3.317

Step-by-step explanation:

Since we want x for some function value, it is convenient to determine the inverse function.

  x = g(y)

  x = y^2 -5

  x +5 = y^2

  y = ±√(x +5)

__

a) x = ±√(20 +5) = ±5

b) x = ±√(6 +5) = ±√11 ≈ ±3.317

5
.
The coordinates of A are (4,5) and the coordinates
of B are (10, y). If the midpoint of AB is (7, -2),
find the value of y.

Answers

Answer:

5

Step-by-step explanation:

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