Consider the sequence {3,6,9,12,15,…}. Find n if an = 735. Show all steps including the formulas used to calculate your answer.


Will mark brainliest!

Answers

Answer 1

Answer:

n = 245

Step-by-step explanation:

The given sequence is 3,6,9,12,15,…

nth term of the AP is 735

We know that, the nth term of an AP is given by :

[tex]a_n=a+(n-1)d[/tex]

d is common difference, d = 6-3 = 3

Put all the values to find n.

[tex]735=3+(n-1)3\\\\732=(n-1)3\\\\\dfrac{732}{3}=n-1\\\\n=244+1\\\\n=245[/tex]

So, there are 245 terms in the sequence.


Related Questions

The diameter of a cone-shaped storage tank is 14 feet and it's height is 9 feet. Find the volume of liquid the tank can hold. Round your answer to the integer, if necessary. Use the approximate of value of /pi , that is 3.14.

Answers

Answer:

461.6 ft³

Step-by-step explanation:

V(cone) = 1/3πr²h

= 1/3π(7²)(9)

= 49·3π

= 147(3.14)

= 461.6 ft³

A desktop is shaped like a semicircle with a diameter of 28 what is the area of the desktop?

Answers

Answer:

307.72

Step-by-step explanation:

if the diameter is 28 then the radius is 14 (half of the diameter)

plz plz plz plz help me​

Answers

Answer:

Solution given:

perpendicular [P]=15m

base[B]=8m

hypotenuse [H]=17m

rate :4 plants per square metre

no of plants=?

we have

Area of triangular garden: ½(P*B)=½(15*8)=60m²

Now

Total no of plants =rate ×Area =4×60=240

Michael needs 240 plants in the garden

There was 1\3of a box of cereal left. Four brothers shared it evenly. How much of the original box of cereal did each brother get?​

Answers

9514 1404 393

Answer:

  1/12 box

Step-by-step explanation:

Each brother gets 1/4 of the remaining 1/3 box, so ...

  (1/4)(1/3 box) = 1/(4·3) box = 1/12 box

Each brother gets 1/12 of the original box.

In the figure CE=34 cm and DE=30 cm. What is the radius of the circle?

Answers

The radius divides the diameter into 2, and the radius of the circle is 16 units

How to determine the radius?

The radius of the circle and the tangent line meet at a right angle.

This means that:

CE² = r² + DE² ------ Pythagoras theorem

So, we have:

34² = r² + 30²

Evaluate the squares

1156 = r² + 900

Rewrite as:

r² = 1156 - 900

Evaluate

r² = 256

Take the square root of both sides

r = 16

Hence, the radius of the circle is 16 units

Read more about radius at:

https://brainly.com/question/9554871

#SPJ2

find the length of the missing side
help!

Answers

Answer:

B would be 72 using a^2+b^2=c^2

Step-by-step explanation:

30^2 + x =78^2

in other words

900 + x =6084

6084-900= 5184

The square root of 5184 is 72

please answer this, I need help ​

Answers

Answer:

-$7

Step-by-step explanation:

20 - 15 = 5

5 + 5 = 10

10 - 10 = 0

0 - 7 = -7

Tom is throwing darts at a target. In his last 30 throws, Tom has hit the target 20 times. You want to know the estimated probability that exactly one out of the next three throws does not hit the target.

Categorize the simulations as correct or incorrect simulations of Tom’s scenario.

Roll a six-sided die three times. The
numbers 1 to 4 represent hits, and
5 and 6 represent misses.
Spin a spinner with three equal sections
three times. On the spinner, one section
represents a miss and two sections
represent hits.
Generate a set of three numbers using
a number generator with numbers
between 0 and 9. The numbers 0 to 7
represent hits, and 8 and 9 represent
misses.
Generate a set of three numbers using
a number generator with numbers
between 0 and 8. The numbers 0 to 5
represent hits, and 6 to 8 represent
misses.
Spin a spinner with six equal sections
three times. On the spinner, four
sections represent hits and two
sections represent misses.

Answers

Answer:

no

Step-by-step explanation:

Help I need this answer ASAP

Answers

Answer: c

Step-by-step explanation: because yes

Answer:

d po answer

yan po sinagot ko

hehe

Simplify 6(2x-y) - 3(5x+2y)

-3x - 12y

O 3x + 12y

9x + 14y

Which one is the answer

Answers

It’s going to be -3x-12y

what is the time in Nigeria WHOEVER GETS IT ROGHT I WILL GIVE YOU BRAINLIEST​

Answers

It is currently 7:55pm in Nigeria

Answer:

7:55 PM

hope this helps

have a good day :)

Step-by-step explanation:

Kristy had a piece of fabric that she cut into 8 equal squares. Each square has area 0.625 ft2. What is the area of Kristy's original piece of fabric?

ft2


PLS HELPPP

Answers

Answer:

5[tex]ft^2[/tex] is the area of the original piece of fabric.

Step-by-step explanation:

0.625 x 8 = 5

In ΔDEF, the measure of ∠F=90°, DF = 3, ED = 5, and FE = 4. What is the value of the tangent of ∠E to the nearest hundredth?

Answers

Answer:0.75

Step-by-step explanation:

trust me

Hey! Can someone please help me with this question? Really appreciate it

Answers

Answer:

[tex]d = 0.112* 10^3[/tex]

Step-by-step explanation:

Given

[tex]h = 8.4 * 10^3[/tex]

[tex]d = \sqrt{\frac{3h}{2}}[/tex]

Required

Find d

We have:

[tex]d = \sqrt{\frac{3h}{2}}[/tex]

Substitute: [tex]h = 8.4 * 10^3[/tex]

[tex]d = \sqrt{\frac{3*8.4 * 10^3}{2}}[/tex]

[tex]d = \sqrt{\frac{25.2 * 10^3}{2}}[/tex]

[tex]d = \sqrt{12.6 * 10^3}[/tex]

Express as:

[tex]d = \sqrt{1.26 *10* 10^3}[/tex]

[tex]d = \sqrt{1.26 *10^4}[/tex]

Split

[tex]d = \sqrt{1.26} *\sqrt{10^4}[/tex]

[tex]d = 1.122* 10^2[/tex]

To write in form of: [tex]a * 10^b[/tex]

The value of a must be: [tex]0 \le a \le 1[/tex]

So, we have:

[tex]d = 0.1122* 10 * 10^2[/tex]

[tex]d = 0.1122* 10^3[/tex]

Approximate

[tex]d = 0.112* 10^3[/tex]

louis makes a$15 [er hour working at the mall. which equation represents the total amout of money, d, louis makes in h hours?

Answers

Answer:

15H = D

Step-by-step explanation:

Given that Louis makes $ 15 per hour working at the mall, to determine which equation represents the total amout of money, D, Louis makes in H hours, the following calculation must be performed:

15H = D

So, for example, if Louis worked 10 hours, the equation would operate as follows:

15 x 10 = D

150 = D

how to find the vat on 14% of 1800​

Answers

Answer:

14/100*1800

25200/100

252

Step-by-step explanation:

therefore vat=252

Consider the following 8 numbers, where one labelled
x
is unknown.
18, 36, 16, x, 39, 27, 8, 34
Given that the range of the numbers is 56,
work out 2 values of
x
.

Answers

Answers:     x = -17  and   x = 64

====================================================

Explanation

Consider three scenarios:

A) The value of x is the smallest of the set (aka the min)B) The value of x is the largest of the set (aka the max)C) The value of x is neither the min, nor the max. So 8 < x < 39.

These scenarios cover all the possible cases of what x could be. It's either the min, the max, or somewhere in between the min and max.

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

We'll start with scenario A.

If x is the min, then that must mean 39 is the max as it's the largest of the set {18, 36, 16, 39, 27, 8, 34}

The range is 56, so,

range = max - min

56 = 39 - x

56+x= 39

x = 39-56

x = -17  which is one possible answer

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

If instead we go with scenario B, then x is the max and 8 is the min

range = max - min

56 = x - 8

56+8 = x

64 = x

x = 64 is the other possible answer

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

Lastly, let's consider scenario C. If x is not the min or the max, then it's somewhere between the min 8 and max 39. in short, 8 < x < 39.

Note that range = max - min = 39-8 = 31 which is not the range of 56 that we want. So there's no way scenario C can be possible here.

According to the following graph, which service took the longest to download the podcast? How much longer did it take than Groove Box in minutes and seconds?

51000711

The service will take the longest to download the podcast.

It will take minutes and seconds longer than Groove Box.

Answers

Answer:

- Top Hat

- 14

- 37

Step-by-step explanation:

y is directly proportional ( x+2)²
when x = 8 y= 250
find y when x = 4​

Answers

Answer:

y=90 when x=4

Step-by-step explanation:

We are given that

[tex]y\propto (x+2)^2[/tex]

When x=8 and y=250

We have to find the value of y when x=4

[tex]y=k(x+2)^2[/tex]

Where k= Proportionality constant

Substitute the values

[tex]250=k(8+2)^2[/tex]

[tex]250=100k[/tex]

[tex]k=\frac{250}{100}[/tex]

[tex]k=5/2[/tex]

Now, substitute x=4 and k=5/2

Then, we get

[tex]y=\frac{5}{2}(4+2)^2[/tex]

[tex]y=\frac{5}{2}\times 36[/tex]

[tex]y=90[/tex]

PLS help



Which of the following statements are true about the solids shown above

Answers

Answer:

kkkkkk

Step-by-step explanation:

Answer for brainlest

Answers

Answer:

Alternate interior angles.

Step-by-step explanation:

Let f (x) = 10/x-4
What is the average rate of change of f (x) from 2 to 8 ?

Enter your response as a decimal.

Answers

Answer:

1.875

Step-by-step explanation:

The rate of change is the derivative of the function.

[tex]f(x) = \frac{10}{x-4}\\\\f'(x)=10\times \frac {d}{dx}\frac{1}{x-4}\\\\f'(x)=\frac{-10}{(x-4)^{2}}\\\\f'(2) = \frac{-10}{(2-4)^{2}} =-2.5\\\\f'(8)= \frac{-10}{(8-4)^{2}} =-0.625\\[/tex]

So, the rate of change is

f'(8) -  f'(2) = - 0.625 + 2.5 = 1.875

Which factorization is equivalent to this expression?
−20x − 5y

Answers

Answer:

[tex] - 20x - 5y \\ - (20x + 5y) \\ = - 5(4x + y)[/tex]

-5(4x+y) is the answer ahfjdndickdndndjdjsnsndndnd

I can Multiply a 4x4 matrix by a 4x3 matrix. The resulting matrix will be a?

Answers

Answer:

21

Step-by-step explanation:

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

[tex]sin^{-1}(\frac{51}{53})\\=74.21\\[/tex]

≈74

A teacher is interested in performing a hypothesis test to compare the mean math score of the girls and the mean math score of the boys. She randomly selects 10 girls from the class and then randomly selects 10 boys. She arranges the girls' names alphabetically and uses this list to assign each girl a number between 1 and 10. She does the same thing for the boys. She pairs each girl with the boy having the same number. She then performs a paired Do you think that in this situation a paired is the most appropriate procedure?

Answers

Answer:

No

Step-by-step explanation:

A matched pair design is used when we have two different observation about a certain experiment for each subject such that there is a natural pairing between the two population.

In the scenario described above, we have 20 subjects of which 10 are boys and 10 are girls.

Matching boys and girls having similar numbers does not depict natural pairing and thus using a matched paired test would be inappropriate. The test to use for such experiment is the two population t test.

Mrs. Smith decides to buy three sweaters and a pair of Jeans. She has $129 in her wallet.
If the price of the Jeans Is $40.05, what is the highest possible price of a sweater, each sweater is the
same price?

Variable:

Equation:

Solution:

Answers

Answer:

Step-by-step explanation:Herely/3fcEdSx's li[tex]^{}[/tex]nk to the answer:

bit.[tex]^{}[/tex]

If you rolled two dice, what is the probability
that you would roll a sum of 4?
Give your answer as a simplified fraction. Enter
the number that belongs in the green box.
3
second
first
1 2
4 5 6
11,1 1,2 1,3 1,4 1,5 1,6
22,1 2,2 2,3 2,4 2,5 2,6
33,1 3,2 3,3 3,4 3,5 3,6
4 4,1 4,2 4,3 4,4 4,5 4,6
55,1 5,2 5,3 5,4 5,5 5,6
6 6,1 6,2 6,3 6,4 6,5 6,6
Enter

Answers

Answer:

1/12

Step-by-step explanation:

3/36=1/12

pls help!! Need the answer asap!!

Answers

Step-by-step explanation:

19+k=90°

k=90-17

k=71°

stay safe healthy and happy .
As you can see, that Angle AOC is 90°,19°+k = 90°k = 90°-19°k = 71°,Option (B) is correct. HOPE IT HELPS YOU!!!

A line passes through the point (2, 10) and has a y-intercept of 4. What is the equation of the line? Help me please

Answers

Step-by-step explanation:

If it's a straight line the use formula

[tex]y = mx + c[/tex]

m= gradient of line

c = y-intercept

we know that y-intercept is 4 so coordinate is

(0,4)

Equation also passes (2,10)

Use both coordinate to find gradient

m= vertical distance / horizontal distance

= (10-4) / (2-0)

= 3

y = 3x + 4

Other Questions
Question 8 (1 point)At your high school, you are trying to determine the probability that a student takesSpanish given that the student is taking Marketing. Which of the followingstatements explains how to BEST gather the data to determine this probability?Determine the number of students taking Marketing, the number of studentstaking Spanish, the total number of students, and the distribution of students.Survey students taking Marketing to determine how many also take Spanish.Survey students taking Spanish to determine how many also take Marketing.Determine the number of students taking Marketing, the number of studentstaking Spanish, and the total number of students. What is the value x + 3y / xy, if x=4 and y=2? describe TWO changes that were occuring throughout Britain from 1801 to 1891. Be sure to use specific details in your responses based on the data provided. If f (x) = StartRoot x EndRoot + 12 and g (x) = 2 StartRoot x EndRoot, what is the value of (f g)(144)?84 All other things being equal, consumers tend to prefer dollar savings over percentage savings. larger retail outlets over smaller outlets. external reference prices over internal reference prices. percentage savings over dollar savings. smaller retail outlets over larger outlets. Which underlined word should be capitalized?Amy shouted, "We won the game!"O 1. shouted2. we3. won4. game 3. By definition, a state must have a bodyof people with a defined territory andA. a sovereign government.B. an oligarchy.C. a democracy.D. a constitution. 7What is the distance from 33, 5) to (3 7.-1 Rewrite the following function so that it returns the same result, but doesnot increment the variable ptr. Your new program must not use anysquare brackets, but must use an integer variable to visit each double in the array. You may eliminate any unneeded variable.double computeAverage(const double* scores, int nScores){const double* ptr = scores;double tot = 0;while (ptr != scores + nScores){tot += *ptr; } ptr++;}return tot/nScores; An investment offers $5,700 per year, with the first payment occurring one year from now. The required return is 5 percent. a. What would the value be today if the payments occurred for 10 years Calculate the molecular mass of sodium trioxocarbonate (iv) decahydrate John bought groceries for $105.30 and paper products for $35.50. The total bill including tax was $142.93. There was no tax charged on the groceries. What was the tax rate on the paper products? Find the total monthly pay if total sales for a month were $34,450, the commission rate is 4.5% and the weekly base salary $175 Dallas National Bank had the following activities, traceable costs, and physical flow of driver units: Activities Traceable Costs Physical flow of Driver Units Open new accounts $50,000 1,000 accounts Process deposits 36,000 400,000 deposits Process withdrawals 15,000 200,000 withdrawals Process loan applications 27,000 900 applications The above activities are used by the Memorial branch and the University branch: Memorial University New accounts 200 400 Deposits 40,000 20,000 Withdrawals 15,000 18,000 Loan applications 100 160 Refer to Dallas National Bank. How much of the deposit cost will be assigned to the University branch Howmanydomes are there on the cathedral of Santa Maria del Fiore? Explain why DNA Sequencing proves that all species have a common ancestor Juan tiene que salir de su casa a estrenar futbol 20 minutos antes de las 4 PM. Escribe 4 formas diferentes de decir esa hora Why does Biting your tongue Get hurt but when biting your tongue on purpose doesn't hurt?? What do you know about the Ku Klux Klan? Do you think they--and other groups like them--should have the right to exist in the US? State your reasons. A Raisin in the SunAct 2 Scene 2 What is 2000% as a fraction