Given the sequence 9,6,3,0,..., at what nth term will the number become -24?

Answers

Answer 1

Answer:

12

Step-by-step explanation:

A sequence is given and we need to find the term when it will become -24 . The given sequence is,

9 , 6 , 3 ,0 , . . . . .

Here Common Difference can be calculated by subtracting consecutive terms . So the Common Difference is 6-9 = -3 . Here the nth term is (-24) .Now using the formula to find nth term .

⇒ T_n = a + (n-1)d

⇒ (-24) = 9 + (n-1)(-3)

⇒ -24-9 = (n-1)(-3)

⇒ (n-1) = -33/-3

⇒ n-1 = 11

⇒ n = 11 + 1

⇒ n = 12

Hence the required number of term is 12.

Related Questions

Simplify-: 5^2 * 2^3

Answers

Answer:

33

Step-by-step explanation:

5^2+2^3

25+2^3

25+8

33

A sequence can be generated by using an=5an−1, where a1=2 and n is a whole number greater than 1.

What are the first 3 terms in the sequence?


2, 7, 12

2, 10, 50

5, 7, 9

5, 10, 20

Answers

Answer:

2nd option

Step-by-step explanation:

Using [tex]a_{n}[/tex] = 5[tex]a_{n-1}[/tex] and a₁ = 2 then

a₂ = 5 × a₁ = 5 × 2 = 10

a₃ = 5 × a₂ = 5 × 10 = 50

the first 3 terms are 2, 10, 50

The first three terms of the given sequence are 2, 10, 50

What is sequence?

A sequence in which every term is obtained by multiplying or dividing a definite number with the preceding number is known as a geometric sequence.

Given that, a sequence can be generated by using aₙ₋₁ = 5 and a₁ = 2,

We need to find the first three terms of the sequence,

Therefore, aₙ₋₁ = 5 and a₁ = 2 then

a₂ = 5 × a₁ = 5 × 2 = 10

a₃ = 5 × a₂ = 5 × 10 = 50

Therefore,

The first 3 terms are 2, 10, 50

Hence, the first three terms of the given sequence are 2, 10, 50

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y = 2x - 4 y = x + 1

Solve using substitution. ​

Answers

Step-by-step explanation:

heres tue answer. hope that helps

Answer:

x=5,y=6

Step-by-step explanation:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Please answer correctly! I will mark you Brainleist!

Answers

Answer:

500cm²

Step-by-step explanation:

im not sure if im right plz can i get brainliest;)

Answer:

50 cm²

Step-by-step explanation:

All that needs to be done here is divide 1000 by 20 to get 50 cm² for the base.

The length of one strip of paper is 1 whole unit.Fold two strips of paper in half.Open the strips and place them ent end .How many halves do you have?How can you use halves to name the fold lines?

Answers

Answer:

The total number of halves is 4 and the lines are considered as 1/4, 1/2 and 3/4.

Step-by-step explanation:

When both the strips are placed end to end the total number of halves is 4, 2 for each of the paper strips. Lines are as indicated in the figure attached.

18.Lupe and her friends spent $20 on snack mix and water. They bought x bags of snack mix and y bottles of water. They bought a total of 11 items. The system of equations can be used to determine how many of each item they bought.

Answers

Answer:

bags of snack = x = 6

bottles of water = y = 5

Step-by-step explanation:

The system of equations can be used to determine how many of each item they bought.

20.00=2.50x+1.00y

11=x+y

how many bags of snack mix did they buy?

Let

bags of snack = x

bottles of water = y

20.00 = 2.50x + 1.00y (1)

11 = x + y (2)

From (2)

x = 11 - y

Substitute x = 11 - y into (1)

20.00 = 2.50x + 1.00y

20.00 = 2.50(11 - y) + 1.00y

20.00 = 27.5 - 2.50y + 1.00y

20.00 - 27.5 = -2.50y + 1.00y

-7.5 = -1.5y

y = -7.5/-1.5

y = 5

Substitute y = 5 into (2)

11 = x + y

11 = x + 5

11 - 5 = x

x = 6

bags of snack = x = 6

bottles of water = y = 5

These two triangles are similar. Find the value of x.
4.5
6
Х
4
7.5
an
5

Answers

Answer:

The value of x is 3

Step-by-step explanation:

Mathematically, when two triangles are similar, the ratio of their corresponding sides are equal

Thus, we have it that;

4.5/7.5 = x/5

5 * 4.5 = 7.5 * x

x = (5 * 4.5)/7.5

x = 3

HELP PLEASE, NO FILES OR LINKS PLEASE

Catherine invests $650 in a savings account that earns 2.5% simple interest annually. If she does not make any additional deposits or withdrawls, how much money will be in the savings accoung after 3 years?

Answers

Answer:

$699.98

Step-by-step explanation:

I need help please!!

Answers

A
B
C
E
F
G
(It’s basically just a game of making pairs)

Debera earns $350 a month. She saves $28 a month. Savings is what percent of her income?

Answers

We can find percent by dividing savings by total earned. 28/350=8%

8%

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

Please help. Please refer to the picture I really need to finish this.

Answers

Answer:

20cm^3

Step-by-step explanation:

The figure is composed by two parallelepipeds

first one

base area = 2 x 1 = 2 cm^2

height = 3 + 2 = 5 cm

V = base area x height

V = 2 x 5 = 10cm^3

second one

base area = 2 x 1 = 2 cm^2

height = 7-2  = 5 cm

V = 2 x 5 = 10 cm^3

total volume = 10 x 2 = 20 cm^3

What is the range?
981356 mean and median

Answers

Answer:

mean: 15

median: 14

mode: 13

range: 8

Which of the following has the greatest value? 11OI ООО -1-141 1-121 D 18I​

Answers

Answer:

d

Step-by-step explanation:

I have the answer I just have this one question. Will all the paint fit into the bucket?


There are 4 pints of green paint in a gallon bucket. The paint is made from equal amounts of yellow paint and blue paint. To create a different shade of green, the mixture needs to be 80% yellow. How many pints of yellow paint need to be added to the bucket to make the mixture 80% yellow?

Brandon says to get that shade of green, 6 pints of yellow paint need to be added to the bucket. Bianca says that won't work. In two or more complete sentences, explain who is correct and why. In your explanation, include the calculations to support the correct answer.

Answers

Answer:

brandon

Step-by-step explanation:

Initially, there id 4 pints of green paint in the bucket.

As the green paint is made from equal amounts of yellow paint and blue paint, so, the initial amount of yellow and blue paint in the bucket  is 2 pint each.

Let x pints of yellow paint to be added to the bucket to make the desired shade.

Total amount of the paint in the bucket, after addition of  pints of yellow color become  pint, in which the ampunt of yellow color is  pints.

As, the ampunt of yellow color is 80% of the total amount of the mixture, so

So, 6 pints of yellow paint to be added to the bucket to make the desired shade.

Hence, Brandon is correct.

daid1784 help!! pls Image

Answers

a, c, c, b, d hope this helps

The tree diagram shows the sample space of rolling a cube with faces numbered 1–6 and flipping a fair coin. What is the probability of rolling the number 5 and the coin landing heads up?

Answers

Answer:

It’s C 1/12

Step-by-step explanation:

On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5).
What is the equation of the line parallel to the given line with an x-intercept of 4?

y =
x =

Answers

Answer:

1st: 4

2nd: -16

Step-by-step explanation:

Trust the process

The required equation of the parallel line is 4x + y = 16.

Given that,
On a coordinate plane, a line goes through (negative 3, negative 3) and (negative 1, 5), what is the equation of the line parallel to the given line with an x-intercept of 4 is to be determined.

What is the slope of the line?

The slope of the line is a tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.

Here,
The slope of the parallel line,
m = 5 + 3 / -3 + 1
m = 8 / -2
m = -4
Now,
The line has the x-intercept at x = 4,
so the ordered pair will be (4,0)
Point-slope of the equation of the line is given by,
y - y₁ = m(x - x₁)
y - 0 = -4 (x - 4)
y = -4x + 16
4x + y = 16

Thus, the required equation of the parallel line is 4x + y = 16.

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WHAT IS 4/5 DIVIDED BY 8?



I WOULD GIVE YOU A POINTS

Answers

Answer:

1/10

Step-by-step explanation:

Answer: 0.1

Step-by-step explanation:

Find the surface area of the cylinder to the nearest whole number the figure is not drawn to scale

Answers

The answer would be 2,205in squared. When you do the formula for it 2times pie times the radius squared +2 times pie times the radius times the height you get 2,205 or 2,205.39804282.

Answer this shi



zzzzzzzzzxxxxx

Answers

Answer:

70 degrees

Step-by-step explanation:

2 Questions for Math ! Please Help :) 1. In triangle ABC, Angle A = 2X + 7, Angle B = 5X-15, and Angle C = 6X What is the value of X and what are the measures of angles A,B, and C? 2. In a triangle XYZ, Angle X= 37 degrees, Angle Y = 45 degrees and Angle Z = 3x + 6. What is the value of X and what is the measure of Angle Z?

Answers

Answer:

5

Step-by-step explanation:

thanks for the points

8. Jana bought 1 hat and 2 skirts. The hat cost $28.53, and the skirts cost $15.88 each. What was the total cost in dollars and cents of the items Jana bought?​

Answers

Answer:

$60.29

Step-by-step explanation:

$15.88 times 2 = $31.76 (cost of the 2 skirts)

then add the 2 skirts cost with cost of the hat

$31.76 + $28.53 = $60.29

Ryan is a construction worker and is about to put a roof on a new house. He has to measure the front of the roof which is in the shape of a triangle. He finds out the height of the triangle is 12ft and the base of the triangle is 24 feet. How many square feet of wood does he need to purchase to cover the front of the roof?

Answers

Area of the triangle=1/2*base*height

height=12ft

base=24 ft

1/2*12*24

=144sq.ft is the area

He needs to purchase 144 sq.ft of wood to cover the front roof

Someone please help!! I have to finish this and Im dum.b lol
(( Ignore the first answer, I didnt mean to put true-)

Answers

Answer:

1) False

2) True

3) True

4) False

Step-by-step explanation:

For the first statement, we can look at a graph with the line of y = 3.69x plotted. If we check the points (7.38, 2) and (11.07,3), they do not intersect with the line. So, the first statement is false.

For the second statement, we can check the equation for the line to find the slope. The equation, y = 3.69x, is in slope-intercept form, or [tex]y = mx + b[/tex]. In this form, [tex]m[/tex] is the slope of the line. [tex]b[/tex] is the y-intercept. In this line, there is no y-intercept specified, so we can take this to mean the y-intercept is 0. The slope, we can see, is 3.69. The slope, multiplied by x, shows us any point of the line. The second statement, then, is true.

The next statement can be verified by finding just how much 16 gallons will cost. Like we've seen before, the slope can be multiplied by x, the number of gallons, to see where that point will be plotted. So, we can multiply the slope by 16.

3.69 · 16 = 59.04

The (x) value, we already know, is 16. The (y) value, we've found, is 59.04. So 16 gallons will be plotted at  (16, 59.04). The third statement is true.

The last statement says that if the price increases by $0.05, the slope will be 3.64. We can tell this is false by adding 0.05 to the original slope, 3.69.

3.69 + 0.05 = 3.74

3.74 ≠ 3.64, so the last statement is false.

I hope this was helpful to you ^^

Good luck

Which matrix is matrix B?

Answers

Answer:

C

Step-by-step explanation:

HELP ASAP, WILL MARK BRAINLEST

Answers

Answer:

4/6

Step-by-step explanation:

yes or no the shape is or is not a rectangle

Answers

Answer:

no the shape is not a rectangle

Answer:

No it isnt a rectangle

Step-by-step explanation:

it is a parallelogram

1,346.275 round to the nearest whole number

Answers

Answer:

1,346

Step-by-step explanation:

Someone help me with these pls?

Answers

Answer:

Step-by-step explanation:

18 : 63

Both have 9 in common

2 : 7

Option C is the correct answer

Option F is the correct answer

The volume of the geometric figure below is _______ cubic ft

Answers

Answer: Your answer in 840 cubic feets

Step-by-step explanation:

u solve the face on the bottom... base (10) times height (12) divide by two is 60. Then i multiply by the actual height which is 14 ft. 60 times 14 is 840.

If this helps plz mark me brainlest

Good luck :D

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