Mathematics College

What expression can be used to find the nth term in the sequence 5,7,9, 11,...?

2n - 3

n + 2

n - 3

2n + 3​

Answers

Answer 1

Answer:

The required expression which can be used to find the nth term in the sequence is:

[tex]a_n=2n+3[/tex]

Hence, the fourth option i.e. 2n+3 is the correct option.

Step-by-step explanation:

Given the sequence

5, 7, 9, 11,...

An arithmetic sequence has a constant difference 'd' and is defined by  

[tex]a_n=a_1+\left(n-1\right)d[/tex]

computing the differences of all the adjacent terms

[tex]7-5=2,\:\quad \:9-7=2,\:\quad \:11-9=2[/tex]

The difference between all the adjacent terms is the same and equal to

d = 2

So

a₁ = 5d = 2

Thus, the nth term of the sequence is

[tex]a_n=a_1+\left(n-1\right)d[/tex]

substitute a₁ = 5 and d = 2 in the sequence

[tex]a_n=2\left(n-1\right)+5[/tex]

[tex]a_n=2n+3[/tex]

Therefore, the required expression which can be used to find the nth term in the sequence is:

[tex]a_n=2n+3[/tex]

Hence, the fourth option i.e. 2n+3 is the correct option.

Related Questions

In the accompanying diagram, CD EF, AB is a transversal, m DGH = 2x , and m FHB = 5x - 51. Find the measure, in degress, of BHE??

Answers

Answer:17

Step-by-step explanation:

2x=5x−51

−3x=−51

x=

3

51

x=17

Which of the following is the midpoint between (8, 1) and (-2, -5)?


(2, -1)


(2, -2)


(3, -1)


(3, -2)

Answers

Step-by-step explanation:

2,-1

if it helps you then please make me brainliest

Formula: (x1+x2)/2, (y1+y2)/2

Input point coordinates

Answer: (3,-2)

Isabella is making a display board for the school trip. The display board is 2.50m by 2m rectangle. She needs to cover the entire display board with card. How much card would she needs?

Answers

Answer:

5m^2

Step-by-step explanation:

Given data

Length of board= 2.50m

Width of board= 2m

The cover need should have the same area as the board

Area= Length*Width

Area= 2.5*2

Area=5m^2

Hence the area of the cover is 5m^2

Angle B has a measure of 2.5 radians. A circle with a radius length of 2.6 cm is centered at Angle B's vertex. What is the length of the subtended arc along this circle?
______ cm​

Answers

9514 1404 393

Answer:

  6.5 cm

Step-by-step explanation:

The length (s) of an arc of a circle of radius r and angle θ is ...

  s = rθ . . . . where θ is in radians

For your values, the arc length is ...

  s = (2.6 cm)(2.5 radians) = 6.5 cm

The length of the subtended arc is 6.5 cm.

The circumference of a circle is 137 m. Find its diameter, in meters.

Answers

Step-by-step explanation:

[tex]137 = 2\pi \times r \\ r = \frac{137}{2\pi} = 21.8045232 \\ diameter = 2 \times r = 43.609 \\ = 43.61 \: m[/tex]

help help help help help help

Answers

Answer:

1.parenthesis, exponents, multiplication, division, addition, subtraction (pemdas is the Oder of operations)

2. please enjoy my dish and seafood

3.14

4. 4

5. 5

6. 7

7.25

PLZ HELP FAST how much will it cost to pump one litre of fuel in to the tank what is the unit rate

Answers

Answer:

87 unit rate

Step-by-step explanation:

und frau und

milller

Answer:

87

Step-by-step explanation:

what is 3,600 divided by 4

Answers

Answer:

900

Step-by-step explanation:

Which of the following numbers can be expressed as a decimal that terminates?
9/7, 5/3, 3/2, 6/4
A: 9 over 7 and 5 over 3
B: 5 over 3 and 3 over 2 Which of the following numbers can be expressed as a decimal that terminates?

9 over 7, 5 over 3, 3 over 2, 6 over 4

A: 3 over 2 and 6 over 4
B: 9 over 7 and 5 over 3
C: 5 over 3 and 3 over 2
D: 9 over 7 and 6 over 4
(PLS HELP- CORRECT ANSWER GETS BRAINLIESTT)

Answers

The answer to this question is C.

Answer: actual answer is 3 /2 and 6/4 because I used a caculator to find my answer.

Step-by-step explanation:

2 ÷ 24.42 = ?
......
.
....
​

Answers

Answer:

12.21

Step-by-step explanation:

WILL MARK BRAINLIEST PLS HELP MEE

Answers

Answer:

17.93

Step-by-step explanation:

y= 2.11x+5.27

x= the # of years

y=total

2000---->2006, six years have past

y=2.11(6)+5.27

y=17.93

What is the mean income of the following three people surveyed? Person A: S22,000, Person B: $31,000, Person :
$21,000. Round to the nearest $100

Answers

Answer:

$24,700

to get this answer you add all the numbers together so in this case 22,000 31,000 and 21,000 and you get 74,000 then you divide by how many numbers you originally had so in this case 3. so you get 24,666.666666667 and since the tens place is 5 or higher you round the hundreds up one so you get 24,700.

Here's the work

22,000+31,000+21,000=74,000

74,000÷3=24,666.666666667

which rounds to 24,700

Can someone please answer this I am in need of help? NOW

Answers

Answer:

3 and 4

Step-by-step explanation:

a complemantary angle is 2 angles that equal 90* so 3 and 4

I can't simplify

5-2(-4x+10)-5x​

Answers

Answer:

5-2(-4x+10)-5x----open brackets and multiply

5+8x-20-5x----combine like terms

8x-5x+5-20

3x-15

3(x-5)

Answer:

Simplified : 3x - 15

Step-by-step explanation:

5 - 2(-4x + 10) - 5x

5 + 8x - 20 - 5x

5 + 3x - 20

3x - 15

what is the quotient of 8/9
and 2/3​

Answers

Answer:

ractions division calculator is an online basic math function tool to find what's the equivalent fraction for dividing 8/9 by 2/3. 8/9 ÷ 2/3 = 24/18 as simplified as 4/3 in fraction form. 8/9 ÷ 2/3 = 1.3333 in decimal form.

Step-by-step explanation:

11. A man is buying a lot which measures 7,860 square meters. How many
hectares of land is he buying?
A. 78,600 hectares
B. 0.7860 hectare
C. 786,000 hectare
D. 0.07860 hectare​

Answers

Answer:

C. 786,000 hectare

Step-by-step explanation:

This question can be solved by proportions, using conversion of units.

Each hectare has 10 000 square meters.

So 7,860 square meters is equal to:

7,860*10000 =  786,000 hectares

The answer is given by option C.

Directions: Please choose ONE (you may answer all if you would like) question. Make sure to EXPLAIN your work. NO EXPLANATION=NO FULL CREDIT



Is the table proportional? Explain why or why
not.
If it is proportional, what is the constant of
proportionality?
What is the equation?

Answers

Answer:

Is the table proportional? Explain why or why not

Step-by-step explanation:

No, because all the ratios of y to x are not equal.

plzzz help I picked A already and it was wrong

Answers

Answer:

probably C I'm terrible at math but that look about right

List the cofficient in the following expression 3x+4+a+6y

Answers

Answer:

it's 3 in 3x and 6 in 6y I think but im not sure i haven't done this in a while

Principal: $2600
Rate: 3%
Time: 3 years
What is the interest made?

Answers

Answer:

$234

Step-by-step explanation:

First, converting R percent to r a decimal

r = R/100 = 3%/100 = 0.03 per year,

then, solving our equation

I = 2600 × 0.03 × 3 = 234

I = $ 234.00

The simple interest accumulated

on a principal of $ 2,600.00

at a rate of 3% per year

for 3 years is $ 234.00.

Answer:

$234

Step-by-step explanation:



Leslie shows a funny video to 5 of her friends. Every hour, the video

views triple. Leslie shows a funny video to 5 of her friends. Every hour, the video

views triple. How many people saw the video on the 7th hour? many total people saw the video after the 7th hour?

Answers

Answer:

10,935 views

Step-by-step explanation:

We can first design a formula for this scenario. Since the views triple this means that the initial views (i) needs to be multiplied by 3. Since this happens every hour we need to raise 3 to the power of the number of hours (h) that has passed by. This would give us the total number of views at that hour. Therefore, the formula would be the following...

i * [tex]3^{h}[/tex]

We can input the values given to us into the formula and solve it for the total number of view. The initial number of views would be 5 (one for each friend) while we are trying to find the total number of views in the 7th hour.

5 * [tex]3^{7}[/tex]

5 * 2187

10,935 views

An art class costs $45 for materials and then
$10 per class. Write an equation to represent
the total spent for any given number of art
classes. Identify your variables.

Answers

45+10x the x stands for how many classes you take

Adelphi is 34.3 miles east of sterling. The distance between Adelphi and sterling is

Answers

Answer:

34.3 miles

Step-by-step explanation:

34.3 miles

Answer:

24.55

Step-by-step explanation:

Angle C has a measure of π/6 radians. A circle with a radius length of 10 inches is centered at Angle C's vertex. What is the length of the subtended arc along this circle?
 inches   
​

Answers

Answer:

Step-by-step explanation:

arc length = rθ = 10·π/6 = 5π/3 ≅ 5.2 inches

Noah is a lawyer last year he made 92,000 is he has to pay 22% in income tax what is the amount of income tax he needs to pay

Answers

Answer:

i have no idea

Step-by-step explanation:

how to Find the product of 68 x 37

Answers

Answer:

our answer will be: 68 x 37 = 2516. To find any product in the future on your own, just remember that ...

Step-by-step explanation:

Answer:

2516

Step-by-step explanation:

multiply 7 by 8 and carry the 5

   68

x  37

     6

multiply 7 by 6 and add the carried 5

    68

x   37

  476

multiply 3 by 8 and carry the 2 but skip a space directly under 6 when you write it bc there's 2 digits

     68

x    37

   476

    4

multiply 3 by 6 and add the carried 2

        68

   x   37

     476

+  204            now add

   2516

what is 4(5a+b)−9a+3 Simplified

Answers

20a + 4b - 9a + 3 = 11a + 4b + 3

Answer:

11a+4b+3

Step-by-step explanation:

how Can I explain that 5/8 2/3 and 3/8 are in order?

Answers

5 is the correct answer

what law of exponent is shown by (4³)⁴ = 4¹²

Answers

I think it’s called the power to a power rule.

HHEEELPPP me PLEASEE ill mark you brainlyyy

Answers

Hi The answer is 768
768 is the correct answer
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