Write an equation for the nth term of the arithmetic sequence 6,3,0,-3,...?

Answers

Answer 1

Answer:

the answer is 3-3n

Step-by-step explanation:

6-(n-1)x3

=3-3n

Answer 2

An equation for the nth term of the arithmetic sequence is aₙ=9-3n.

What is an arithmetic sequence?

An arithmetic sequence is a sequence of numbers where the differences between every two consecutive terms is the same. The general form an arithmetic sequence is aₙ=a+(n-1)d.

The given arithmetic sequence is 6,3,0,-3,...

Here, first term a=6 and common difference is 3-6=-3

Substitute a=6 and d=-3 in aₙ=a+(n-1)d, we get

aₙ=6+(n-1)(-3)

aₙ=6-3n+3

aₙ=9-3n

Therefore, an equation for the nth term of the arithmetic sequence is aₙ=9-3n.

To learn more about an arithmetic sequence visit:

https://brainly.com/question/10396151.

#SPJ2


Related Questions

If there is 6/8 of a pizza left after lunch, how many 1/6 pieces can be cut for an afternoon snack

Answers

Answer:7/12

Step-by-step explanation:

. Means x 6/

8

- 1/

6

= 6 · 3/

8 · 3

- 1 · 4/

6 · 4

= 18/

24

- 4/

24

= 18 - 4/

24

= 14/

24

= 2 · 7/

2 · 12

= 7/

1

the number of gallons of bottled water N consumed by a person in one year is approximated by N=0.733t + 8.398, where t is the number of years since 1971. Predict the number of gallons consumed by a person in 1985.

Answers

Step-by-step explanation:

N = 0.733t + 8.398

N = 0.733(1971) + 8.398

N = 1,453.141

Step-by-step explanation:

Solution,

According to question,

N=0.733t + 8.398

When t= 1971, then

N=0.733×(1971) + 8.398

N=1453.141

What is the value of the digit 5 in the number 4,578.364​

Answers

Answer:

500

have a nice day!

Hey there!

4 = 4,000 = thousands

5 = 500 = hundreds

7 = 70 = tens

8 = 08 = ones

.

3 = 0.3 = tenths

6 = 0.06 = hundredths

4 = 0.004 = thousandths

Therefore, your ANSWER is: hundreds

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

10 points!! Pls help with 5 and 6

Answers

Answer:

I only know number 5 so here it is

the solution for the left is: 2x6=12

the solution for the right is: 5x3+4x1=15+4=19

and the answers are: 1.12 . 2.19

Which integer CANNOT be a solution to the inequality 6x − 4 ≤ 7x − 3 ? (15 points)

Answers

Answer:X is greater than or equal to -1

Step-by-step explanation:

-4<7x-3-6x

-4<x-3

-4+3<x

-1<x

x>-1

Every greater than or less than sign should be equal to so they are all greater than or equal to or less than or equal to :)

Match the equivalent expressions. 36+24 plzz help bc i gotta finish today

Answers

Answer:

12(3+2)

Step-by-step explanation:

a laundry service charges $5.00 plus an additional $1 per pound of laundry to be washed. write and graph an equation to represent the situation.

Answers

Answer:

i dont know the answers.........

If x2 + y2 = 14 and xy = 5, find the value of
(x + y)2
and
(X-y)2

Answers

Answer:

3x(7-3)y2=21

Step-by-step explanation:

hope it is write

The weights of three samples from an experiment are 1.25050 g, 2.50055 g, and 2.74099 g.

What is a reasonable estimate for the total weight of all three samples?


5.5 g

6.0 g

6.5 g

I don't know.

Answers

the correct answer is 6.0 g

Answer:

Ans ; 6.5 g

Step-by-step explanation:

Ans; 1.25050+2.50055+2.74099 = 6.49204 = 6.49 = 6.5 g

What is the LCM of
12 and 40

Answers

Answer:

120

Step-by-step explanation:

12 and 40

Multiples of 12 = 12,24,36,48,60,72784,96,108,120..

Multiples of 40 = 40,80,120..

Common in both = 120

Answer:

120

Explanation:

The least common multiple (LCM) of two or more whole numbers is the smallest whole number that is divisible by each of those numbers. Basically, the LCM is the smallest number that all the numbers divide into evenly. So for 12 and 40, we get 120 since 120 ÷ 12 = 10, 120 ÷ 40 = 30

What is the missing
symbol (?) to make
this true?
54 + 24 ? 23 – 30 = 32

Answers

The division ➗ ÷ sign will make the expression correct if you correct the question!

pls solve this!!! I need the answer ASAP!

Answers

Answer:

do your working

Step-by-step explanation: 356 X 366

Answer:

i dont understand

Step-by-step explanation:

Please help i will give extra points

Answers

Answer:

Don't know if there's more to this.

He Owes –$18

He gets +$30 for cleaning the house.

He'll simply have 30–18 = $12 after paying the debt he owes his Mom.

Answer:

$12

Step-by-step explanation:

If Ryan owes his mom 18 dollers, that means he has to pay his mom 18 dollers and then gets 30 dollers in return.

so the expression is -18+30 which is 12 dollers. So Ryan will have 12 dollers extra after paying is mom.

Based on the data which table shows a constant of proportionality of 3 for the ratio of Amos and guitars?

Answers

For the answer Use ph0t0 math works

40%of a number is 160 what is 60% of the same number​

Answers

Answer:

38.4

Step-by-step explanation:

40%×160=64

60%×64=38.4

The product of 6 and 14 more than a number

Answers

Answer:

its one i think  

Answer:

Here,  more than indicates adding, and products means result of multiplication

Thus,

6* 14+x

NOTE: These questions are to be made into an equation with using a variable. That is what i have done but if the questions states something abt the final result we get then we need to solve for x

How do i solve this (give steps please)

Answers

Answer:

42x - 21 - 9x^2

Step-by-step explanation:

basically do the area of the whole rectangle then di the area of one of the empty spaces. then subtract the value of the empty space three times because there are three empty spaces.

Step-by-step explanation:

Let

[tex]A_1[/tex] = area of the small rectangle

[tex]\:\:\:\:\:= x(3x + 1) = 3x^2 + x[/tex]

[tex]A2[/tex] = area of the large rectangle

[tex]\:\:\:\:\:= (4x + 3)(10x - 7)[/tex]

[tex]\:\:\:\:\:= 40x^2 - 28x + 30x - 21[/tex]

[tex]\:\:\:\:\:= 40x^2 + 2x - 21[/tex]

Since there are 3 small rectangles, the area A of the shaded area is

[tex]A = A_2 - 3A_1[/tex]

[tex]\:\:\:\:= (40x^2 + 2x - 21) - 3(3x^2 + x)[/tex]

[tex]\:\:\:\:= 40x^2 + 2x - 21 - 9x^2 - 3x[/tex]

[tex]\:\:\:\:= 31x^2 - x - 21[/tex]

When a measurement in inches is converted to centimeters, will the number of centimeters be grater or less than the number of inches? Explain.​

Answers

Answer:

A centimeter is smaller than an inch, so a given length will have more centimeters than inches. This alone shows you that the NUMBER of cm units will always be greater than the number of inches, for a given measurement.

In their latest play, the Giants lost another 5 yards. This is their third time losing 5
yards. The also gained 20 yards. Give an integer to represent how many yards the
Giants have gained or lost.

Answers

Using basic operations, it is found that the integer 5 represents that the Giants have gained 5 yards.

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

There have been three plays where the Giants have lost 5 yards, thus, 3 times 5 is subtracted from their yardage total.There is one play where the Giants have gained 20 yards, thus, 20 yards are added to their yardage total.

Using basic operations, we find the integer that represents the Giants yardage, as follows:

[tex]Y = -3\times5 + 20 = -15 + 20 = 5[/tex]

The integer 5 represents that the Giants have gained 5 yards.

A similar problem is given at https://brainly.com/question/14350453

Between what two consecutive integers would the square root of 40 fall?

A. 5 and 6

B 6 and 7

C 7 and 8

D 36 and 49

Answers

[tex]\sqrt{40}=\sqrt{2\cdot2^2\cdot5}=2\sqrt{10}[/tex]

Notice that [tex]\sqrt{10}\approx3.2[/tex] which means [tex]\sqrt{40}\approx2\cdot3.2\approx6.4[/tex].

So answer is B.

Hope this helps :)

Solve for d:
-9.4d + 26 < 91.8

Answers

Answer:

-9.4d+26-26<91.8-26

-9.4d+0<65.8

-9.4d < 65.8

-9.4d÷-9.4>65.8÷-9.4

d > -7

If h(x) = 6 - x, what is the value of (he H) (10)?
-4
-2
O 10
• 16

Answers

Answer:

h(10) = -4

Step-by-step explanation:

h(x) = 6 - x

h(10) = 6-10

h(10) = -4

3(3x - 12) - 24 !!?!???

Answers

Answer: 9x+−60

Step-by-step explanation:

brainiest to whoever right

Answers

Step-by-step explanation:

Since the the two angles are complementary, then

[tex](3x + 2) + (5x - 14) = 90[/tex]

or

[tex]8x - 12 = 90 \Rightarrow 8x = 102[/tex]

[tex]x = 12.75[/tex]

so

[tex]\angle{YXZ} = 5(12.75) - 14 = 49.75°[/tex]

There are 32 desks in a room.

If x represents the number of rows of desks, which expression would equal the number of desks in each row?

Answers

The answer is 32/x

hope that helped ❤️

B is the midpoint of AC and E is the midpoint of BD. if A(-9,-4), C(-1, 6), and E(-4, -3) find coordinates of D

Answers

Answer: The coordinates of D are (-3, -7).

Step-by-step explanation:

First, we need to find the coordinates of B. In order to do that, take the average of the two points that make up the segment which are A and C.

Average of x's: -9 + -1 = -10/2 = -5

Average of y's: -4 + 6 = 2/2 = 1

Therefore, the coordinates of B are (-5, 1). Coordinates are always (x,y).

Now we can find D by noting that the E will be the average of B and D. So we can use the average equation to determine the value of D.

Average of the x's:

(B + D)/2 = E

(-5 + D)/2 = -4

-5 + D = -8

D = -3  

Average of the y's:

(B + D)/2 = E

(1 + D)/2 = -3

1 + D = -6

D = -7

The coordinates of D are (-3, -7).


25. Critique Reasoning A student is given the rectangle and the square shown. The student states that the
two figures have the same perimeter. Is the student correct? Explain your reasoning.

Answers

You only attached the square. Edit the question to add it, and then I'll edit my answer.

Please help me someone my work is due in pretty soon somebody please help me
Somebody please answer
1 and 2 fully for me I will mark you as brainlest

Answers

Answer:

take a better pic, i cant read that. but i can help if u insert a new pic

Step-by-step explanation:

What is the equation of the line that passes through the point (-7, 2) and has a
slope of -1

Answers

Answer:

y = -x - 5

Step-by-step explanation:

y = mx + b

slope = m = -1

y = -1x + b

y = -x + b

Plug in (-7, 2) for x and y, and solve for b.

2 = -(-7) + b

2 = 7 + b

b = -5

y = -x - 5

Linda travels 58.6 miles each day for the past seven days how many miles did you drive in all?​

Answers

Answer:

410.2 miles total

Step-by-step explanation:

58.6 miles × 7 days = 410.2 miles

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