What is the twelfth term in the sequence with nth term formula 5/6+1/2n? Give your answer as a top-heavy fraction in its simplest form.

Answers

Answer 1

Given:

The formula for nth term of a sequence is:

[tex]\dfrac{5}{6}+\dfrac{1}{2}n[/tex]

To find:

The 12th term in the given sequence.

Solution:

Consider the formula for nth term of a sequence:

[tex]a_n=\dfrac{5}{6}+\dfrac{1}{2}n[/tex]

Putting [tex]n=12[/tex], we get

[tex]a_{12}=\dfrac{5}{6}+\dfrac{1}{2}{12}[/tex]

[tex]a_{12}=\dfrac{5}{6}+6[/tex]

[tex]a_{12}=\dfrac{5+36}{6}[/tex]

[tex]a_{12}=\dfrac{41}{6}[/tex]

Therefore, the 12th in the given sequence is [tex]\dfrac{41}{6}[/tex].


Related Questions

What is the surface area of the cylinder with height 6 in and radius 7 in? Round your answer to the nearest thousandth.

Answers

Answer:

571.77

Step-by-step explanation: I might be wrong so don't really trust me

answer pls for point

Answers

Answer:

x= 4 , y= 1

Step-by-step explanation:

confirm the answer was correct

HELP DUE IN 10 MINS! Solve for x in the parallelogram below:

x=??

Answers

Answer:

x = 10

Step-by-step explanation:

The opposite angles in a parallelogram are congruent, then

5x - 9 = 3x + 11 ( subtract 3x from both sides )

2x - 9 = 11 ( add 9 to both sides )

2x = 20 ( divide both sides by 2 )

x = 10

Literal Equations:

Solve the equation for the indicated variable.

a−c=d−r, for c

Group of answer choices

c=−d+r+a


c=d−r/a


−c=d−r−a


c=d−r+a

Answers

Answer:

−c=d−r−a

Step-by-step explanation:

if we move a value to the other side of the equal sign, the value switches positive and negative signs, in this case A moved to the right, which caused it to turn negative.

O D) 96
10) What is the value of the expression 16 + 24 = 2^3x3 - 8
1 point
A) 7
B) 9
C) 17
D) 20
1 point
ncion is equivalent to b+b+b+b? *

Answers

The best answer to go with is b

Aiden got a loan for $600 that has a 5% simple interest for
2 years.

Answers

Answer:

The simple interest is $60 for 2 years

Step-by-step explanation:

1. 600*0.05=30

2. 30*2=60

please help will mark brainlyist

Answers

the scale factor is 7/6 or 1.166666

If the student is a domain/inout and the hair color is the range/output how is these two set of relation not a function?

Answers

Answer:

A function is a relation that maps inputs from a set called the domain, into outputs from a set called the range.

Such that each input can be mapped into only one output.

So for example, if we have a relation that maps the input 2 into two different values:

f(2) = 4

f(2) = 8

Then this is not a function.

In the case of the problem, we have a student as the input, and the hair color as the output.

So we will have something like:

f(student) = blond

And if this student decides to change his/her hair color to red?

Then the function becomes:

f(student) = red

So for the same input, we had two different outputs, which means that this is not a function.

We also could have the case where a given student has two colors (Californian for example)

Where again, we would see two different outputs for one single input.

Two students spent the same amount of
money on their lunches and got the same
number of toppings. One bought a steak
burger and paid $3.80 plus $0.40 for each
topping. The other bought a hamburger
and paid $3.20 plus $0.60 for each
topping. How many toppings did each
student get?

Answers

0.60-0.40=0.20

3.80-3.20=0.60

0.60 divided by 0.20=3

Hence, each student got 3 toppings each.

hope it helps:))

An equation is shown. n+ 5 = 23 What is the value for n that makes the equation true?

no links​

Answers

Well, it’s pretty obvious as the it‘s basically 23-5

Find m
Plz I need helped

Answers

Answer:

m<QPR = 25

Step-by-step explanation:

The sum of <RPS and <QPR make up 40 so:

8x + 7 + 9x + 16 = 40

17x + 23 = 40

17x = 17

x = 1

m<QPR:

9x + 16

9(1) + 16

25

Help me please!!! I’ll mark brainliest!!

Answers

Answer:

all the answers are c on that test my teacher did that same exact test

Step-by-step explanation:

mark brainliest!

What is 2x^3 if x=3?

Answers

Answer:

2^3 when x=3

2*3^3

6^3

6*6*6

36*6

=192

Step-by-step explanation:

Whats 50x^3 - 23x +9
anegays this for my friends

Answers

Answer: there are no like terms

I'm not sure if you have the wrong equation but there are no like terms

Perimeter is used to find the
A: distance from a ceiling to the floor
B: amount of blacktop on a playground
C: amount of floor space covered by a carpet
D: distance around the edge of a swimming pool

Answers

Answer:

D: distance around the edge of the swimming pool

Step-by-step explanation:

perimeter is the distance around something.

Step-by-step explanation:

Perimeter is used to find out the boundary of any thing or figure...So,

Option D Distance around the edge of a swimming pool. is correct answer.

Juanita is a basketball player who makes
75
%
75%75, percent of all free-throws she attempts. We can assume that the results of her free-throw attempts are independent from each other.
Which of the following choices are binomial random variables?
Choose all answers that apply:
Choose all answers that apply:

(Choice A)
A
Juanita shoots a series of free-throws until she makes
5
55 free-throws. Let
S
=
S=S, equals the number of shots it takes.

(Choice B)
B
Juanita shoots a series of free-throws until she makes a free-throw. Let
T
=
T=T, equals the number of shots it takes.

(Choice C)
C
Juanita shoots a series
5
55 free-throws. Let
M
=
M=M, equals the number of free-throws she makes.

Answers

Answer: Juanita shoots a series 5 free-throws. Let M = the number of free-throws she makes.

Step-by-step explanation: Khan

What is the equation of the line shown in the graph?

Answers

Answer:

-6

Step-by-step explanation:

I'm not really sure whether or not your question is asking for the slope intercept form or just the slope.

Your answer would be: y = -6x + 7   [if your question is asking for the slope intercept form]

OR

Your answer would be: -6   [if your question is asking for just the slope]

Find a. Round to the nearest tenth:

Answers

Answer:

14.356

Step-by-step explanation:

that's the answer round up to 14.4

What is the range of ordered pairs represented on the graph? ​

Answers

Answer:

Step-by-step explanation:

1st. (4,6)

2nd. (-6,-2)

3rd. (8,4)

4th. (-4,-10)

Find the distance between points B and C on the graph. A) 5 B) 17 C) 5 D) 34

Answers

Answer: 3 to the right 5 going up i hope that can help a little bit

Step-by-step explanation: plz make brainly

Answer:

d

Step-by-step explanation:

took test

You cannot evaluate the square root of a __________________________. a. Positive number b. Negative number c. Zero d. Variable

Answers

Answer:

B, a negative number. negative numbers can't have square roots

Step-by-step explanation:

Hope this helps :)

B negative number, it’s not possible to get the root of a negative number because a negative times a negative is a positive

Which is an equation in point-slope form for the given point and slope? Point: (1.9); Slope: 5

A: y-1=5(x+9)
B: y-9=5(x+1)
C: y-9=5(x-1)
D: y+9=5(x-1)​

Answers

answer is D

from y-y'=m(x-x') ,where m is slope and x' and y' are our points then ;

given are;

m=5, x' =1 and y' =9

By substituting our given

y-9=5(x-1)

which property is BEST to use when combining 3/5 + 1/4 + 2/5? A) distributive property B) identity property of addition C) additive inverse property D) commutative property of addition

Answers

Answer:

D Community property of addition

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

A sphere and a cone have the same volume. The sphere has a radius x and height y. The cone has a radius of 1/2x. Find the height of the cone in terms of y.

Answers

Answer:

h = 16x

Step-by-step explanation:

The volume of a sphere and a cone is same such that,

[tex]V_s=V_c\\\\\dfrac{4}{3}\pi r^3=\dfrac{1}{3}\pi R^2h[/tex]

We have, r = x, R = (1/2)x, h= ? (height of the cone)

So,

[tex]\dfrac{4}{3}\pi x^3=\dfrac{1}{3}\pi (\dfrac{x}{2})^2h\\\\4x^3=\dfrac{x^2}{4}h\\\\h=\dfrac{16x^3}{x^2}\\\\h=16x[/tex]

So, the height of the cone is equal to 16x.

You are saving money for a summer camp that costs $1800. You have saved $500 so far, and you have 14 more weeks to save the total amount. What are the possible average amounts of money that you can save per week in order to have a total of at least $1800 saved?

Answers

Answer:

$92.86

Step-by-step explanation:

Since it's AT LEAST 1800, the inequality sign would be ≥ 1800

Equation:

500 + 14x ≥ 1800

14x ≥ 1800 - 500

14x ≥ 1300

x ≥ 92.86

What's the value of
[tex] \sqrt{25} + 5 + 10 - 5[/tex]

Answers

Answer:

Step-by-step explanation: also it’s 15

[tex] \sqrt{25} + 5 + 10 - 5 \\ 5 + 5 + 10 - 5 \\10 + 10 - 5 \\ 20 - 5 \\ = 15[/tex]

[tex] \\ [/tex]

Find the area of the triangle. A right triangle has a base of 5 yards and a height of 2 yards.

Answers

Answer:

3

Step-by-step explanation:

24

Answer:

5×2=10

10/2=5

5yd2

mark brainliest pleaseeeeee

The area of a sector with a radius of 22 yards is 89.45 square yards. Calculate the approximate angle of the sector

Answers

Answer:

0.3696 radian

21.178°

Step-by-step explanation:

Given :

Radius, r = 22 yards

Area of Sector = 89.45 yd²

Approximate angle of the sector :

Area of Sector = 1/2 * θ * r²

89.45 = 1/2 * θ * 22²

89.45 = 0.5 * 484 * θ

89.45 = 242θ

θ = 89.45 / 242

θ = 0.3696 radian

Radian to degree

0.3696 * 180 / π = 21.178°

What is (-3, -2) reflected over the y-axis

Answers

Answer:

3,-2

Step-by-step explanation:

Answer:

(3, -2)

Step-by-step explanation:

[Cartesian plane]

______________

+y

-x ← — | — → +x

(-3,-2) |

-y

______________

[Flipping over the y axis]

-The reflection will be the-

same distance from the y axis

+y

-x ← — | — → +x

(-3,-2) → | → (3, -2)

-y

Plz help ASAP I will mark u branliest

Answers

Answer:

5.k=3

7.p=4

Step-by-step explanation:

5.7=2k+1

7=2k+1 subtract 1 on both sides

6=2k divide by 2 on both sides

k=3

7. 11=4p-5

11=4p-5 add 5 to both sides

16=4p divide by 4 on both sides

p=4

Answer:

5: k=3  

7: p=4

Step-by-step explanation:

5: sub 1 from each side divde by 2

7: add 5 to both sides  divide each side into 4

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