Is 3584 a term of the series 7+14+28+56........?
(please answer if you know; this is the question from geometric series:- General progression)
(full steps and process required)
(No spam answers or else you'll be reported )​

Is 3584 A Term Of The Series 7+14+28+56........?(please Answer If You Know; This Is The Question From

Answers

Answer 1

Answer:

yes it is the 10th term in the series

Step-by-step explanation:

The nth term of a geometric sequence is

[tex]a_{n}[/tex] = a₁ [tex](r)^{n-1}[/tex]

where a₁ is the first term and r the common ratio

Here a₁ = 7 and r = [tex]\frac{a_{2} }{a_{1} }[/tex] = [tex]\frac{14}{7}[/tex] = 2 , then

[tex]a_{n}[/tex] = 7 [tex](2)^{n-1}[/tex]

Equate [tex]a_{n}[/tex] to 3584 and solve for n

7 [tex](2)^{n-1}[/tex] = 3584 ( divide both sides by 7 )

[tex]2^{n-1}[/tex] = 512 , that is

[tex]2^{n-1}[/tex] = [tex]2^{9}[/tex]

Since the bases on both sides are equal, both 2 , then equate the exponents

n - 1 = 9 ( add 1 to both sides )

n = 10

3584 is the 10th term in the series


Related Questions

Find the slope of the line that passes through (26, 15) and (1, 86).

Answers

Answer:

-71/25

Step-by-step explanation:

We can use the slope formula when given two points

m = (y2-y1)/(x2-x1)

m = (86-15)/(1 -26)

   = 71/-25

  = -71/25

Answer:

[tex]\displaystyle m = \frac{-71}{25}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Identify

Point (26, 15)

Point (1, 86)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]:                                                              [tex]\displaystyle m = \frac{86 - 15}{1 - 26}[/tex]Subtract:                                                                                                            [tex]\displaystyle m = \frac{71}{-25}[/tex]

Find the length of the arc. Use 3.14 for the value of . Round your answer to the nearest tenth. Enter your answer and also show your work to demonstrate how you determined your
answer.

Answers

Answer:

ARC= 15.7

ARC= 2(3.14)10(90/36)

Step-by-step explanation:

Solve the compound inequality 7x > –35 and 3x ≤ 30.

Answers

Answer:

x>-5 x ≤10

Step-by-step explanation:

-35/7=-5

7x/7=x

3x/3=x

30/3=10

Answer: -5 < x _< 10

Step-by-step explanation:

Find the volume of this cylinder please..

Answers

Answer: 825

Step-by-step explanation:

Plug in the values for v = π*r²*h

So, your new equation is v = π*5²*11 (I got 5 because 10 is the diameter, the radius is half the diameter, therefore r = 5.)

The question is also telling us to replace π with 3.

now we solve, after gathering all of our information.

v = 3*5²*11

v=3*25*11

v=75*11

v=825

PLSSS HELPPP
give me the answers and explain

Answers

Y: -4, -2, 0, 2, 4, 6

-2 (x+5):4
Pliss es para hoy

Answers

I don't know how you want it solved but, I am giving u -2 I hope this helps

As James bought his textbooks for classes one semester, he estimated the cost to the nearest ten dollars. He knew he could cover the cost up to $315. His math book cost $68.41, biology text was $105.35, literature text cost $72.49, and the AutoCAD text was $59.91. What rounded sum did James determine

Answers

Answer:

$310

Step-by-step explanation:

The first step is to add the costs of the textbook together :

$68.41 + $105.35 + $72.49 + $59.91 = $306.16

In order to round off to the nearest ten dollars, look at the units figure, if the number is greater or equal to 5, add 1 to the ten figure. If this is not the case, add zero. Replace the unit digit with zero

The unit digit is greater than 6, so 1 is added to the tens digit. The amount becomes $310

plsssssssssssssss help meeee

Answers

Answer:

64 vs. 4 so 60 extra people

Step-by-step explanation:

Answer:

I think 60 more people

Step-by-step explanation:

You just plug in p for period 4 and period 2 then solve for N. Then it's asking for how many more in pd 4 then 2 which is 60, I think..

Find the amount and the compound interest on rupees 5000 for 2 years at 6% per annum, Interest payable yearly. Answer with full steps and formula NO BAD ANSWERS REQUIRED :D

Answers

Answer:

I. Amount = 5618 Rupees

II. Compound interest = 618 Rupees

Step-by-step explanation:

Given the following data;Principal = 5000 RupeesTime = 2 yearsInterest rate = 6%

To find the compound interest;

Mathematically, compound interest is calculated using the formula;

A = P(1 + r)^t

Where;

A is the future value.P is the principal or starting amount.r is annual interest rate.t is the number of years for the compound interest.

Substituting into the formula, we have;

A = 5000(1 + 0.06)^2

A = 5000(1.06)^2

A = 5000 * 1.1236

A = 5618 Rupees

Next, we would determine the compound interest using the formula;

C.I = A - P

C.I = 5618 - 5000

Compound interest (C.I) = 618 Rupees

One dozen cookies cost $5.50. At that rate, how much does one cookie cost?

Answers

Answer:

0,458$

Step-by-step explanation:

First you have to divide 5.50 by 12 to get the price for one cookie after doing that you get $.458333333333333

help pls due in 3hrs

Answers

9514 1404 393

Answer:

  (-3, -2), (-2, -2), (-2, -3), (-3, -3)

Step-by-step explanation:

Dilation about the origin multiplies each coordinate value by the dilation factor. Here, every coordinate of the original image is multiplied by 1/2 to form the "enlargement." Since the scale factor is less than 1, the "enlarged" image will be smaller and closer to the origin.

The coordinates, clockwise from upper left, are ...

  (-3, -2), (-2, -2), (-2, -3), (-3, -3)

please tell me what x =?

Answers

Since this is a right triangle, we can use one of the three main trigonometric functions: sine, cosine, or tangent.

Remember: SOH-CAH-TOA

Looking from angle x, we know the opposite side and the adjacent side. Therefore, we should use the tangent function to solve.

tan(x) = 8/10

x = tan^-1(8/10)

x = 38.7 degrees

Hope this helps!

If cos(27) =p, express sin(27) in terms of p

Answers

Answer:

√(p²-1)

Step-by-step explanation:

sin (27°) = √(p²-1) / 1

= √(p²-1)

Combine and simplify these radicals.




Answers

Answer:

4 sqrt(3)

Step-by-step explanation:

sqrt(3) * sqrt(16)

sqrt(3) *4

4 sqrt(3)

Answer: d

Step-by-step explanation: I took the test

Which expression is equivalent to (3^2)^-2

Answers

Answer:

1/3^4

1/81

Step-by-step explanation:

(3^2)^-2

We know that a^b^c = a^(b*c)

3 ^(2*-2)

3^-4

We know that a^-b = 1/a^b

1/3^4

1/81

1 3/4 because (3^2) ^-2 that is the answer


Abby made the following conjecture: The sum of a multiple of 7 and a multiple of 8 will be an
odd number. Do you agree or disagree? Briefly justify your decision with a counterexample if
possible.

Answers

Answer:

Disagree. As long as the odd number (7) is multiplied by an even number, the sum of multiples of an odd and even number in general will add to be even.

Step-by-step explanation:

Assume you have a=7 and b=8.

Now there are 4 combinations since there are only two types of numbers: even and odd.

Combination 1 would consist of an ODD amount of multiples of a, and and ODD amount of multiples of b.

     See:  3a + 3b

              3(7) + 3(8) = 45

*Combination 2 would be an EVEN amount of a and an EVEN amount of b.

         2a + 2b

         14 + 16 = 30

HERE, in combination 2, the claim is already debunked.

Combination 3 is an ODD amount of a and an EVEN amount of b

         1a + 2b

        7 + 16 = 21

*Combination 4 is an EVEN amount of a and an ODD amount of b

         2a + 1b

         14 + 8 = 24

HERE, in combination 4, the claim is justified again

Which are corresponding pairs​

Answers

Answer:

pandn

Step-by-step explanation:

jsubeuodoqok1kwnebhxhhw

emdndiiwjwkd

d

ddnjd

HURRY QUICKLY Ashley is preparing for a horse riding competition. She has trained her horse for 4 hours and has completed 172 rounds. At what rate has Ashley ridden her horse in rounds per hour?
A.
42 rounds per hour
B.
44 rounds per hour
C.
45 rounds per hour
D.
43 rounds per hour

Answers

Step-by-step explanation:

C. 45 rounds per hour. is the answer

Answer:

D (43 Rounds Per Hour)

Step-by-step explanation:

Ashley has completed 172 rounds and trained her horse for 4 hours. Supposing she riding is training her horse, we can divide 172 by 4, showing how much rounds is completed in an hour. If you think about it, dividing by four is making it four times less. And since Ashley have ridden it for four hours, dividing it by four makes one hour. Now, for the math, we do 172/4 (172 divided by 4), and get 43, which is D.

What is 21+x=70 what is X?




















this is me

Answers

Answer:

Simplifying

Simplifying

21 + x = 70

Solving

21 + x = 70

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-21' to each side of the equation.

21 + -21 + x = 70 + -21

Combine like terms: 21 + -21 = 0

0 + x = 70 + -21

x = 70 + -21

Combine like terms: 70 + -21 = 49

x = 49

Simplifying

x = 49

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\textsf{21 + x = 70}[/tex]

[tex]\large\textsf{x + 21 = 70}[/tex]

[tex]\large\text{SUBTRACT 21 to BOTH SIDES}[/tex]

[tex]\large\textsf{x + 21 - 21 = 70 - 21}[/tex]

[tex]\large\text{CANCEL out: 21 - 21 because that gives you 0}[/tex]

[tex]\large\text{KEEP: 70 - 21 because that helps solve for the x-value}[/tex]

[tex]\large\textsf{x = 70 - 21}[/tex]

[tex]\large\textsf{\bf x = 49}[/tex]

[tex]\boxed{\boxed{\huge\text{Therefore, your answer is: \textsf{x = 49}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

Find the distance across the lake. Assume the triangles are similar.

Answers

Answer:

202.5

Step-by-step explanation:

[tex]\frac{L}{45}[/tex] = [tex]\frac{90}{20}[/tex] → [tex]\frac{L}{45}[/tex] = [tex]\frac{9}{2}[/tex]

9 x 45 = 405 → 2L=405

L=[tex]\frac{405}{2}[/tex] → L = 202.5

The plot below shows the amount of time Mira spent on maths questions. If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?

Answers

Answer:

See explanation

Step-by-step explanation:

Given

[tex]n = 5[/tex] --- number of questions

Required

The time spent on each question

The question has missing details, as the required plot to calculate the total time is not given.

However, the formula to use is as follows

[tex]Each = \frac{Total}{n}[/tex]

Substitute 5 for n

[tex]Each = \frac{Total}{5}[/tex]

Assume the calculated total time is 60 minutes; The equation becomes

[tex]Each = \frac{60}{5}[/tex]

[tex]Each = 12\ mins[/tex]

Answer:

9 minutes

Step-by-step explanation:

I got it wrong from the other guy so i put get help and that's the Awnser LOL


Evaluate the expression when a=3.
a^2 - 6a -5

Answers

Answer:

- 14

Step-by-step explanation:

a = 3

a^2 - 6a - 5

= 3^2 - 6 ( 3 ) - 5

= 9 - 18 - 5

= 9 - 23

= - 14

9-18-5= -9-5=-14

Just substitute 3 for a and solve.

3^2=3(3)=9
-6(3)=-18

Find the length of BW
A.132.59
B.134.24
C.21.26
D.3.33

Answers

Answer:

BW = 132.59

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp /adj

tan 9 = 21 / BW

BW tan 9 = 21

BW = 21/ tan 9

BW = 132.5887818

BW = 132.59

Answer:

Step-by-step explanation:

Side BW is the height, aka as the side adjacent to the reference angle of 9 degrees. We have the side opposite the reference angle (21) and we are looking for the side adjacent to the reference angle. The trig ratio that we use for this, the one that relates the sides opposite and adjacent, is the tangent ratio, namely:

[tex]tan(9)=\frac{21}{BW}[/tex] and solving for BW:

[tex]BW=\frac{21}{tan(9)}[/tex] so

BW = 132.59

Consider the piecewise function shown on the graph. Over which interval of the domain does the graph represent an exponential function?

Answers

I think the answer is c in which graph shown in the above

Answer:

see attached, x>=1

Step-by-step explanation:

A group has more than $120 to spend. The inequality 5x + 20 > 120 represents the cost to rent a hall for a conference, where x represents the number of hours the group can rent the hall. Which of the following is the solution for this situation?

Answers

Answer:

x>20

Step-by-step explanation:

You want to try and get the x alone so

5x + 20 > 120

     -20     -20  Subtract 20 from each side

5x        > 100

5x/5    > 100/5 Divide 5 from each side

       x  > 20

Please help explanation if possible

Answers

Answer:

45

Step-by-step explanation:

a44 = 2 + (43 × 1) = 2 + 43 = 45

The chart shows pricing and payment options for two big-ticket items.
If someone were unable to pay cash right now, which financing option would be best for the laptop and for the refrigerator?
a. rent-to-own; installment
b. installment; rent-to-own
c. rent-to-own; rent-to-own
d. save up and pay cash

Answers

It’s letter c so rent to own , rent to own I hope you have a great day

Answer:its C rent-to-own ; rent-to-own

Step-by-step explanation:

I got a 100 on my test

What is the length of BD?

Answers

Answer:

BD = 10 √3

Step-by-step explanation:

ABC ∆ ,

BD ÷ 20 = sin 60

BD = 20 sin 60

BD = (20 √3) / 2

= 10 √3

Square Root of 9801
With Steps Please

Answers

Answer:

99

Step-by-step explanation:

First give it as a product of prime factors. Divide 9801 with prime numbers. The first picture divides 9801 fron prime numbers. Prime numbers are 2,3,5,7, 11. We can only divide using 3 and 11. So we get 3⁴ and 11². The second picture shows how I got the square root of 9801. Square root is ½. So we multiply each power with ½ so we finally get 99. You can recheck for yourself using a calculator. It is 99.

Find the measure of the numbered angles.
Angle 1 =
Angle 2 =
Angle 3 =
Angle 4 =
Angle 5 =
Angle 6 =
Angle 7 =
Angle 8 =

Answers

Explanation in pictures.

Hope this helps!! Have a good day!

Other Questions
The graph shows the distribution of the number of text messages young adults send per day. The distribution is approximately Normal, with a mean of 128 messages and a standard deviation of 30 messages.A graph titled daily text messaging has number of text on the x-axis, going from 8 to 248 in increments of 30. Data is distributed normally. The highest point of the curve is at 128.What percentage of young adults send between 68 and 158 text messages per day?34%47.5%81.5%95% F(x)=5x-3 encuentre el dominio, codominio y haga la tabla de valores Effective internal control activities over the payroll function may include Reconciliation of totals on job time tickets with job reports by employees responsible for those specific jobs. Verification of agreement of job time tickets with employee time clock card hours by a timekeeping department employee. Custody of rate authorization records by the supervisor of the payroll department. Preparation of payroll transaction journal entries by an employee who reports to the supervisor of the human resources department. Consider this equation. tan) 19 17 If 8 is an angle in quadrant II, what is the value of Cos() OA. 19 6 OB. 17 6 O c. V18 6 OD. 17 What are the early symptoms of HIV, and how do they contribute to the spread of this virus? The Maryland General Assembly is divided into the senate and theA. congressO B. board of public worksO C. house of delegatesO D. house of representativesSUBMIT Multiply: (2x+y) (n2-3xy+y2) X+y=11 Graphing which function HELP PLS WITH PYTHAGOREAN THEOREM find the product of 853(-125) by using suitable property Determine whether the sequence converges or diverges. If it converges, give the limit.50, 25/2, 25/8, 25/32, ... Which statement best describes what happens during a chemical reaction?A. Reactants change into products.B. Reactants change into new reactants.C. Products change into reactants.D. Products change into new products. 9. They ________ all the Harry Potter films.A. have saw B. has seen C. have seen10. Ren ________ a famous director, Woody Allen.A. has met B. has meet C. meets11. She ________three short films so far.A. wrote B. has written C. has wrote12. Most TV programmes are very ____________A. interest B. interested C. interesting13. Im ________about children watching too much TV.A. worried B. worrying C. worry14. I think listening to the radio is _________A. bored B. boring C. bore15. Ive never been _________ at the cinema.A.frightened B. frightening C. frighten16.When One Direction didnt win UK X-factor 2010, I was_____________.38A. disappointing B. disappointed C. disappoint17. Im really _________in art.A. interesting B. interest C. interested18. I was __________ by something I read recently.A. surprise B. surprised C. surprising19. Tim never watches horror films. Theyre too_________ and he cant sleep after that.A. frighten B. frightening C. frightened20. We were _________to hear your good news.A. thrilling B. thrill C. thrilled Please help out need explanation so I can know how to do it Which quadrilateral has equal diagonalsSelect one:a. trapezoidb. rectanglec. parallelogramd. rhombus Armando planted a 9-inch tall magical beanstalk. The height of the beanstalk increases by 13% each day. Write a function f that determines the height of the beanstalk in inches in terms of the number of days t since Armando planted the beanstalk. Given HM = 24 and mHK = 66 , find x and y Name 3 Historical events that had an effect on American literature Frank can type a report in 2 hours and James takes 7 hours. How long will it take thetwo of them typing together? In one of the examples he is working on, he knows that the two coordinates (0,6) and(8, 10) are on the function that he is deriving. Using the information from these twocoordinates, determine the slope and y-intercept of the function Mike is looking for, andthen write out the correct function.