Which arithmetic sequence has a first term equal to 47 and a common difference of -18?

a.{-18, -65, -112, -159, …}

b.{47, 29, 11, -7, …}

c.{-18, 29, 76, 123, …}

d.{47, 65, 83, 101, …}

Answers

Answer 1

Answer:

b

Step-by-step explanation:

There are 2 sequences with a₁ = 47, b and d

The common difference of both is

(b)

d = a₂ - a1 = 29 - 47 = - 18

(d)

d = a₂ - a₁ = 65 - 47 = 18

The the sequence with first term 45 and common difference - 18 is b

Answer 2

The required sequence which has a first term equal to 47 and a common difference of -18 is {47, 29, 11, -7, …}. Option B is correct.

What is arithmetic progression?

Arithmetic progression is the series of numbers that have common differences between adjacent values

What is geometric progression?

Geometric progression is a sequence of series whose ratio with adjacent values remains the same.

Here,
An arithmetic sequence has a first term equal to 47 and a common difference of -18,
a = 47
d = -18

The sequence formed given as,
⇒ a, a + d, a + 2d, a + 3d
⇒ 47, 47 - 18, 47 + 2(-18), 47 + 3(-18)
⇒ 47 , 29, 11, -7 . . . . .

Thus, the above sequence matches the sequence given in option b.

Learn more about arithmetic progression here: https://brainly.com/question/20334860
#SPJ2


Related Questions

Which figures below are similar?



1 and 2
2 and 3
2 and 4
1 and 4

Answers

Answer:

I think it is 1 and 4 :))

Step-by-step explanation:

I hope so it will helpful for u

Answer:

Its 1 and 4

Step-by-step explanation:

I did the quiz

I need help with this and also the explanation plz

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Answer:

The correct answer is 0 or A

Step-by-step explanation:

2/0+2 + 1/5 = 6/0+5

2/2 + 1/5 = 6/5

1 + 1/5 = 6/5

5/5 + 1/5 = 6/5

6/5 = 6/5

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Which of these situations give a description of an experiment being performed? Choose all that are correct.

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Answer:

can't see it too small talk a shot little bit close

What is the percent increase or decrease between $3.25 and $3.64?​

Answers

Answer:

12% increase

Step-by-step explanation:

Have a good day :)

this is area right???

Answers

Answer:

Yes

Step-by-step explanation:

So permiter is two*lengths plus 2*width of a shape.

Area is the length times the width.

For examplel if a square has a length of 2, and a width of 3 the permiteter is:

2*2+3*3=

4+9

=

13

On the other hand, area  would be:

2*3

=

6

I hope this helps!

What is the length of the line?

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Answer:

Its D

square root of 37 = 6.0

Step-by-step explanation:

Find the area of the combined rectangles. Please help me

Answers

Answer:

8: 190 yd , 9: 30 m, 10: 92 ft

Step-by-step explanation:

for 8, you can spit it up pretty simply. find 10x18 which is 180 and then 5x2 which is 10 so 8 is 190.

for 9, 2x8=18 for the top portion and for the sides 3x2=6, so twelve. Combined its 30m.

for 10, 10x8=80, then 6x2=12. so 92 ft combined.

i need help with MAD someone pls help

Answers

Answer:

wh

at am I helping u wit lol use googl

A room is thrice as long as the breadth. It contains 270m^3 of air and the cost of painting its four walls at Rs 15 per m^2 is Rs. 3600, find the cost of carpeting the floor at Rs. 98 per m^2.

Answers

Answer: ₹2646

Step-by-step explanation:

Given

The volume of the room is [tex]V=270\ m^3[/tex]

cost of painting the walls is ₹[tex]3600[/tex] at the rate of [tex]15\ m^2[/tex]

So, the area of walls is

[tex]\Rightarrow A=\dfrac{3600}{15}\\\\\Rightarrow A=240\ m^2[/tex]

This the area of 4 walls i.e.

[tex]\Rightarrow 240=2[hl+hb]\\\Rightarrow 120=h[l+b]\\\Rightarrow 120=4bh\quad [\text{length is thrice of width}]\\\Rightarrow 30=bh\qua \ldots(i)[/tex]

The volume of the room is given by

[tex]V=l\times b\times h\\270=3b\times b\times h\\90=hb^2\quad \ldots(ii)[/tex]

Divide (i) and (ii)

[tex]\Rightarrow \dfrac{90}{30}=\dfrac{b^2h}{bh}\\\\\Rightarrow b=3\ m[/tex]

So, the length of the room is

[tex]l=3b\\l=3\times 3\\l=9\ m[/tex]

The area of the floor is

[tex]\Rightarrow A_o=l\times b\\\Rightarrow A_o=9\times 3\\\Rightarrow A_o=27\ m^2[/tex]

The cost of flooring is

[tex]\Rightarrow 27\times 98\\\Rightarrow Rs.2646[/tex]

please answer this question

Answers

Answer:

28 cm

Step-by-step explanation:

volume of a rectangle: l*w*h

the first cuboid: 7*4*2= 56

56=2*1*y

56=2y

28=y

Answer:

28cm

Step-by-step explanation:

Since the two cuboids have the same volume, we use the volume of cuboid one to find the length of side y,

Volume of a cuboid = [tex]length * breadth * height[/tex]

Volume of the cuboid with all sides given is = 7 * 4 * 2 = 56cm cubed.

Now we use that volume to calculate the length y,

56 = 1 * 2 * y

56 = 2y

y = 56/2

y = 28cm

Answer this question to get marked as brainliest!!!!!

Answers

The answer is f8 hope this helps!

Answer:

The answer is F^8

Step-by-step explanation:

9 + 3 = 12

12 - 4 = 8

=f^8

Nia works at a gas station and earns $15.50 per hour last week , she worked 29 hours .What was her gross pay?

Answers

Answer:

$449.5

Step-by-step explanation:

Given data

Earning rate=  $15.50 per hour

Number of hours worked = 29 hours

Hence the amount earned is

=15.5*29

= $449.5

Hence the total amount she earned is $449.5

A cube with an edge length of 4 must be filled completely. How many cubic centimeters will be needed

Answers

Answer: [tex]64\ cm^3[/tex]

Step-by-step explanation:

Given

The edge length of the cube is 4 cm

If it is to be filled, then the entire volume of the cube is needed

The volume of the cube [tex](\text{edge length})^2[/tex]

[tex]\Rightarrow V=4^3\\\Rightarrow V=4\times 4\times 4\\\Rightarrow V=64\ cm^3[/tex]

Thus, 64 cubic centimeters is required.

The area of the triangle shown is 9 cm2.
3.6 cm
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What is the perimeter of the triangle?

Answers

Answer:

11.6

Step-by-step explanation:

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Answers

Answer:

10^2 = 100

100 x 3.14 = 314(area of circle)

314 x 2 = 628(area of both two circles/base and top)

2 x 3.14 x 10 = 62.8(circumference),

62.8 x 6(height) = 376.8

Add areas:

376.8 + 628 = 1,004.8 m2 is your answer.

A city's population is 58,000 and is decreasing at an annual rate of 2%.
Identify an equation that models the estimated population after t years.
O A) y = 58,000(2)
OB) y = 0.02x + 58,000
O C) y = 58,000(0.98)'
OD) y = 58,000(1.02)

Answers

Answer:

Choice C

y = 58,000(0.98)

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Answers

A 2
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Random wordsnfjdbdusnsjdbsndjdbdjdj
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Increased dumping of sewage into a river caused an increase in parasites that attacked the local fish population. Turtles and birds that live in the same community eat the fish. What would happen between the turtles and birds if the fish population decreased by 50% as a result of the parasitism? *

A increased commensalism
B increased competition
C increased mutualism
D increased predation

Answers

Answer: The answer you are looking for is “B increased competition”

Step-by-step explanation: The reason why it is the answer b is when two species eat the same type of food and that said food is decreased as much as 50% there will be a lot of competition that will take place because both species want to survive so it is pretty much anyone for themselves.

Have a nice day!

Renita is riding her bike to school. It takes her 5 minutes to travel half a mile. Renita's school is 2 miles from her house. She plans to leave 30 minutes before school and hopes to make it on time. How long will it take Renita to ride to school?
yo I need help pls answer

Answers

Answer:

20 min

Step-by-step explanation:

To go 1 mile it takes her 10 min (5 = 1/2 multiply both sides by 2) and to get to school it would take her 2 miles, so it would take 10 min.

f(x)=(x-1)(x+3)(x-4)

Answers

Answer:

Do you want the derivative?!

Answer:

Step-by-step explanation:

multiplication:  (x-1)  *  (x+3)  *  (x-4)

(x-1) * (x+3)

x^2 + 2x - 3

(x^2 + 2x -3)(x-4)

x^3-2x^2-5x+ 12

finding the zeroes:

(x-1)         (x+3)    (x-4)

x-1:0      x+3:0     x-4:0

+1:1          -3:3     +4: 4

x: 1            x:3        x:4

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Answers

Answer:

a) The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):

[tex]i[/tex]         [tex]a_{i}[/tex]

1         6

2        11

3        16

4        21

5        26

b) The algebraic expression for the general term of the sequence is [tex]a(i) = 6 + 5\cdot (i - 1)[/tex].

c) The 25th term in the sequence is 126.

Step-by-step explanation:

a) Make a table of values for the sequence 6, 11, 16, 21, 26, ...

The table of values represents the ordered pairs formed by the elements of the sequence ([tex]a_{i}[/tex]) (range) and their respective indexes ([tex]i[/tex]) (domain):

[tex]i[/tex]         [tex]a_{i}[/tex]

1         6

2        11

3        16

4        21

5        26

b) Based on the table of values, we notice a constant difference between two consecutive elements of the sequence, a characteristic of arithmetic series, whose form is:

[tex]a(i) = a_{1} + r\cdot (i - 1)[/tex] (1)

Where:

[tex]a_{1}[/tex] - First element of the sequence.

[tex]r[/tex] - Arithmetic difference.

[tex]i[/tex] - Index.

If we know that [tex]a_{1} = 6[/tex] and [tex]r = 5[/tex], then the algebraic expression for the general term of the sequence is:

[tex]a(i) = 6 + 5\cdot (i - 1)[/tex]

c) If we know that [tex]a(i) = 6 + 5\cdot (i - 1)[/tex] and [tex]i = 25[/tex], then the 25th term in the sequence is:

[tex]a(25) = 6 + 5\cdot (25 - 1)[/tex]

[tex]a(25) = 126[/tex]

The 25th term in the sequence is 126.

HELPPP PLEASE!!!!!! Which shows how to determine the volume of the pyramid?


Answers

Answer:

A- ⅓(12)(8)(10

Step-by-step explanation:

Volume of a pyramid is ⅓length×width×height

Complete the square to find the vertex of this parabola. x2-16y-4x-12=0

Answers

Answer:

Step-by-step explanation:

x^2-16y-4x-12=0

Transpose and separate x and y

16y = x^2-4x-12

16y = (x^2-4x+4) -16

16y = (x-2)^2 -16

y = (1/16)(x-2)^2 -1

This means that the vertex is at

(x-2)=0 or x=2

y = -1

=> vertex (2,-1)

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Answers

Answer:

1. quadratic trinomial

2. quintic binomial

3. linear monomial

Step-by-step explanation:

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Answers

Answer:

-8 = m-2+b

-2 = m-0+b

4 = m2+b

10 = m4+b

Step-by-step explanation:

You just put them in y = mx+b format

A rectangle measures 7.08cm by 3.2cm what is the area of the rectangle

Answers

Answer:

Measurements= 7.08/3.2

Area of rectangle= 7.08cm×3.2cm

= 22.656 cm(square)

22.656 is your answer

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Answers

Answer:

the radius would be 5 centimeters

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Answers

f(a) = 0 and f(b) = 0

Simplify the expression.
-1/2(-5/6 +1/3)
HELPPPO

Answers

Answer:

0.25

Step-by-step explanation:

Y'ALL PLEASE PLEASE PLEASE HELP ME I *REALLY* NEED HELP!!!!
all links will be deleted!
The two triangles shown are congruent: ΔABC ≅ ΔXYZ. Based on this information, which of the following is a true statement? Question options:
A)
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B)
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D)

Answers

Answer:

AB XY

Step-by-step explanation:

They are congruent side angles

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