Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) 1 2 , 1 4 , 1 6 , 1 8 , 1 10 , ...

Answers

Answer 1

Answer:

1•2n

Step-by-step explanation:

Given the sequence if numbers

1 2 , 1 4 , 1 6 , 1 8 , 1 10 , ...

You will see that 1 is common to all the numbers, the other part of the sequence are in arithmetic progression and they are

2,4,6,8,10...

The nth term of an AP is expressed as

Tn = a+(n-1)d

a is the first term

n is the number of terms

d is the common difference

a = 2

d = 4-2 = 6-4 = 8-6 = 2

Substitute into the formula

Tn = 2+(n-1)2

Tn = 2+2n-2

Tn = 2-2+2n

Tn = 2n

Hence the nth term of the sequence is 1•2n


Related Questions

The Parameter of the triangle below is 11x + 6. Find the measure of the missing side.
3x-5
-2x+3

Answers

Answer: x = -13

Step-by-step explanation:

HELPPP LOOK AT SCREEN SHOT

Answers

Answer:

(-8,5)

Step-by-step explanation:

Because if u were to move the box 7 spaces to the right and then make it bigger by 2 spaces u would get (-8,5)

Answer:

(-8,5)

Step-by-step explanation:

is the answer to your question

the 6% state income tax on a $42.00 salary​

Answers

Answer:

75 cents

Step-by-step explanation:

Ariane wants to estimate 197.6 ÷ 5.48. Which number sentence shows the best way to estimate this quotient?
100 ÷ 5 = 20
100 ÷ 10 = 10
200 ÷ 5 = 40
200 ÷ 10 = 20

Answers

Answer:

200 ÷ 5 = 40

Step-by-step explanation:

you round each number

197.6 becomes 200

5.48 becomes 5

the answer is C. this is because if you round 197.6 it goes to 200. if you round 5.48 it is 5. thus 200/5 is what you would use

The Smith's bill at a restaurant is $85.00. How much money should Mr. Smith leave as a tip if he plans to tip 20%?

Answers

Answer:

He is going to tip 17$

Step-by-step explanation:

Given :-

Mrs. Smith left a 20% tip for a dinner that cost $85.

To find :-

About how much tip did Mrs. Smith leave?

Solution :-

The tip is 20% of $85

• Calculating 20% of $85

$ 85 * 15%

$ 85* 15/100

$ 12.75

Don and Ana are driving to their vacation destination. Upon entering the freeway they began driving at a constant rate of 60 miles an hour. Don noticed that 3 hours into the trip they were 650 miles from the destination.
How far from their destination will they be 3.7 hours since entering the freeway?
How far from their destination were they 2.3 hours since entering the freeway?

Answers

To solve the problem we must know about Speed, distance, and Time.

What are Speed, distance, and Time?

We know that sped, distance, and time all are in a relationship to each other. this relationship can be given as,

[tex]\rm{Speed = \dfrac{Distance}{Time}[/tex]

Given to us

Speed = 60 miles an hour

Don noticed that 3 hours into the trip they were 650 miles from the destination.

Distance traveled by them in 3 hours

We know that Don and Ana are traveling at a constant speed and they are traveling for 3 hours.

[tex]\rm Distance= \rm speed \times Time[/tex]

[tex]\rm Distance = 60 \times 3 = 180\rm\ miles[/tex]

Thus, Distance traveled by them in 3 hours is 180 miles.

Total Distance from their destination

We know that Don and Ana are traveling on the freeway for the past 3 hours and they are still 650 miles away, therefore,

Total Distance from their destination

= Distance traveled by them in 3 hours + 650 miles

= 180 miles + 650 miles

= 830 miles

Thus, the distance traveled by then is 830 miles.

A.) Distance between them and destination after 3.7 hours since entering the freeway,

Distance traveled by them = speed x 3.7

                                             = 60 x 3.7 = 222 miles

Distance between them and the destination

= Total Distance from their destination - Distance traveled by them

= 830 miles - 222 miles

= 608 miles

Thus, they are 608 miles far from their destination.

B.) Distance between them and destination after 2.3 hours since entering the freeway,

Distance traveled by them = speed x 2.3

                                             = 60 x 2.3 = 138 miles

Distance between them and the destination

= Total Distance from their destination - Distance traveled by them

= 830 miles - 138 miles

= 692 miles

Thus, they are 692 miles far from their destination.

Learn more about Speed, distance, and Time:

https://brainly.com/question/15100898

Solve

11× +9-7


8s- 11s+ 6s ​

Answers

Answer:

i dont know  if this the answer for the first on x=1.45454545455 and the other on is 3s

Step-by-step explanation:

It takes Cindy about 30 minutes to paint a picture.
About how long would it take Cindy to paint 2 pictures?

Answers

Answer:

60 mins

Step-by-step explanation:

1 picture = 30 mins

times both sides by 2 to get 2 pictures

2 pictures = 60 mins

Answer:

what are coprime number

1 divided by 2/6 please help

Answers

Answer:

3

Step-by-step explanation:

[tex]1 \div \frac{2}{6} \\ \\ = 1 \times \frac{6}{2} \\ \\ = 1 \times 3 \\ \\ = 3[/tex]

Which expression is not equivalent to 8 + (n - 4)?

1. n + 4

2. (8 - 4) + n

3. (8 + n) - 4

4. 12 + n

Answers

Answer:

D. 12 + n

Step-by-step explanation:

To solve this question we have to simplify each equation 1 by 1 :

First, let us do the equation in the problem:

8 + (n - 4) = n +4

Now let us review the answers:

A. Is equivalent because  8 + (n - 4) = n + 4

B.  Is equivalent because (8 - 4) + n = n + 4

C. Is equivalent because (8 + n) - 4 = n + 4

and D. is not equivalent because obviously 12 + n does not equal n + 4

plz mark me brainliest :)

What is 37494964937478 Divided by? No your not allowed to answer one, whoever gets it right gets brainliest!

Answers

Answer:

3

Step-by-step explanation:

I think all the digits added together is 84 if I counted right which can be divided by 12 so the number can be divided by 3

please help, I’ll mark you brainliest❤️

Answers

Answer:

565.69 Euros

Step-by-step explanation:

Every pound you multiply that by 1.13

Item 3: helppp, i need help asap :)

Answers

Since the 2 triangles are congruent (exactly the same), we know that side AD is the same as side AB. Since we know they are equal, you can write it as...
3y = 21
Divide both sides of the equation by 3 to solve for y, and you get y = 7.
The answer is A) 7*

Which ordered pair is a solution to the system of inequalities? y>3x y<=x+5

Answers

Answer:

y=x-1 y=6x-1

Step-by-step explanation:

Answer:

(1,5)

Step-by-step explanation:

just did

Joe wants to fence a rectangular pen for his goats. The length of the pen should be at least 60
ft, and the distance around should be no more than 260 ft. Which system of inequalities and
graph represent the possible dimensions of the pen?

Answers

Answer:

y>60

2*x+2*x<260

it's the only one that works

Step-by-step explanation:

The system of inequalities is x ≥ 60 and 2x + 2y ≤ 260.

The graph is given below.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal = ≤

Greater than and equal = ≥

We have,

Length of the rectangular pen = x

Width of the rectangular pen = y

Now,

x ≥ 60 _____(1)

Perimeter = 260

2 (x + y) ≤ 260

2x + 2y ≤ 260 _____(2)

The graph of (1) and (2) are given below.

Thus,

The system of inequalities is x ≥ 60 and 2x + 2y ≤ 260.

The graph is given below.

Learn more about inequalities here:

https://brainly.com/question/20383699

#SPJ5

The parallel sides of a trapezoid are called its
a Height
b Bases
C Both A and B
d None of the above

Answers

B. Bases




Nsjsjdjjskskdkzkskzk!2’nsakjsksjalqldkdnsmwmkaksks
D. None Of the Above.

Simplify 2(6x-3)-9(4x-5)

Answers

Answer:

the answer is: -24x + 39

Step-by-step explanation:

Answer:

-6480

Step-by-step explanation:

Which of these equations represents a line
passing through (5,3) and (-5, -3)?
B. y -
A. y - fx
C. y=5
D. y 3

Answers

What type of answers are those?

Draw a line through the point A that is perpendicular to the given line below

Answers

Answer:

Step-by-step explanation:

Make sure to use ruler to draw line through the point A dot to get full marks.

Thank you

The diagram shows FGH, its medians, centroid P, and the lengths of some of the subsegments. Apply the Centroid Theorem to find other lengths.

Answers

Answer:

Step-by-step explanation:

We will use two properties to solve this problem,

1). Medians of a triangle bisect the sides of a triangle.

2). Centroid of a triangle divides the medians in the ratio of 2 : 1.

Length of FH = 2 × Length of HX

                      = 2 × 12

                FH = 24

PF : PZ = 2 : 1

[tex]\frac{PF}{PZ}=\frac{2}{1}[/tex]

[tex]\frac{PF}{4}=\frac{2}{1}[/tex]

PF = 8

GX = GP + PX

GP = 9  [Given]

Since, [tex]\frac{GP}{PX}=\frac{2}{1}[/tex]

PX = [tex]\frac{9}{2}[/tex] = 4.5

Therefore, GX = 9 + 4.5

GX = 13.5

The other lengths using the centroid theorem gives us;

FH = 24

PF = 8

GX = 13.5

         The centroid of a triangle is defined as the point where the three medians intersect each other.

Now, the centroid theorem states that the centroid is ²/₃ of the distance from each vertex to the midpoint of the opposite side.

Thus, applying the centroid theorem to the given triangle gives;

FH = 2(HX)

We see that HX = 12.

Thus; FH = 2 * 12

FH = 24

Also; PF = 2(PZ)

We see that; PZ = 4

Thus;

PF = 2(4)

PF = 8

Also, GP = 2(PX)

We have GP = 9.

Thus;

9 = 2(PX)

PX = 9/2

PX = 4.5

GX = GP + PX

GX = 9 + 4.5

GX = 13.5

Read more at; https://brainly.com/question/24246680

30 points!3 PROBLEM: { Last year, 700 students attended Walnut Springs Middle School. This year, there are 665 students. Use the equation 700 - d = 665 to find the d, the decrease in the number of students from last year to this year. _____________________________ }

Answers

Answer:

d = 35

Step-by-step explanation:

You invest $200 in a savings account that earns 4% interest EACH YEAR.

If you don't touch the account for three years, how much money will you have in your account after those three years?

Answers

Answer:

600 and 12

Step-by-step explanation:

Yes 600 because 4x3=12 just do 200+200+200 which equal 600 dollars

Find the total surface area of a right circular cylinder whose radius is 3 units and whose height is 5 units.​

Answers

Answer: 48 *pie sign*

Step-by-step explanation:

A science museum has an average of 424 visitors each day. The museum is open every day. Over a two-week period, how many people visit the museum?

Answers

Answer:

5936 people

Step-by-step explanation:

Answer: 5936 people visit the museum in an average of 2 weeks.

Step by Step Explanation:

There is 7 days in a week. To find the amount of day in two weeks multiply the number of days in a week by 2.

7x2=14

Next, multiply 424 by the number of days in two weeks.

424x14= 5936

The answer is, 5936 people visit the museum in an average of 2 weeks.

Ellie's mom has $75 and shares it equally between her 5 children. How much money does each child get?

Answers

Answer:

15

Step-by-step explanation:

because it's is 15 and you can add 15 5 times n get 75



Find the perimeter of the figure to the right

6 yards
8 4/5 yard
9 2/3 yards
8 yards

Answers

I need to see the figure to answer the question

For her birthday, Melissa gets
a $100 gift card to a local
bookstore. Each week, Melissa
treats herself to a $5 book.
Write a function for the
situation.
After how many weeks, will
Melissa have $20 left in the
gift card?
pls answer asap

Answers

Answer:

i have no idea 23

Step-by-step explanation:

Bernie needs 6 cups of cream to make ice cream. Cream is sold in pints. How many pints of cream does she need to make the ice cream?



Answers

Answer:

3 pints

Step-by-step explanation:

6 cups equals 3 pints hoope this helps :D

What is a 15% tip on a $22 pizza?

Answers

Answer: 3.30

Step-by-step explanation: there is none

connie can type 675 words in 15 mins please help!!

Answers

Answer: 45 words per minute.

Step-by-step explanation: I'm not exactly sure what you're asking, but Connie types 45 words per minute (675/15 = 45).

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