The sum of the 1st nth term gp is 127.the sum of the reciprocal is 127/64,if the 1st term is 1.find n and the common ratio

Answers

Answer 1

Answer:

Ratio (r) = 2

n = 7

Step-by-step explanation:

The formula for the sum of the nth term of a G.P is given as:

Sn = a(1-r^n)/(1-r)

Where n = Number of terms

r = Common ratio

The sum of the 1st nth term gp is 127.

Hence:

127 = 1(1-r^n)/(1-r)

The sum of the reciprocal is 127/64

The formula is inverted , hence:

Sn = 1/a(1-r^n)/(1-r)

127/64 = r^(1-n)(1-r^n)/(1-r)

Hence:

1/64 = r^(1-n)

r^(n-1) = 64

r^(n-1) = 2⁶

Hence:

r = 2

Solving for n

n - 1 = 6

n = 6 + 1

n = 7

Therefore:

r = 2

n = 7


Related Questions

pls help! giving thanks

Answers

Answer:

I would say C but also not sure

If 7 iced cupcakes cost $21, then how much would 5 iced cupcakes cost?

Answers

Answer:

$15 for 5 cupcakes

plss help i’ll give brainliest thank you!

Answers

Answer:

p

Step-by-step explanation:

Absolute value cancels negative so the greatest would be P.

have a nice day and i hope this helps! <3

P because absolute value cancels negative so it’d just be positive 6

The dot plot below represents how long it takes students in a 7th grade math class to
get to school every morning.
SOMEONE HELP PLZ GIVING OUT BRAINLEST

Answers

Answer:

40

Step-by-step explanation:

All you have to do is subtract the biggest number from the smallest in order to get your answer.

45 - 5 = 40. Hence, the answer is 40

Hope this helps! :)

The number of students in the class should be considered as the 40.

Calculation of the number of students in the class;

= Largest commute time - smallest commute time

= 45 - 5

= 40

Here we basically deduct the  smallest commute time from the largest commute time so that the no of student in the class should come.

Learn more about class here:  https://brainly.com/question/17217914

Sam went to the store to buy some supplies for school. He bought a binder that cost $6.50 and packages of filler paper that cost $1.25 each. If Sam spent a total of $11.50, how many packages of filler paper did he buy? LET p = the number of packages of filler paper

Answers

Answer:

4 packages

Step-by-step explanation:

Hi,

1.25x + 6.50 = 11.50

1.25x = 5

x = 4

He bought 4 packages.

I hope this helps :)

What do the three red tiles in the model of the equation below represent?
=
1
-3
3
ОООО
-Зх

Answers

Step-by-step explanation:

There are 3 times of -x

which means the total of those x

=

[tex]3 \times ( - x) \\ = - 3x[/tex]

Find x and y
Show all the work

Answers

both sides are the same so they are equal so...
4x+13=5x-15
x=28

1. Subtract
4
x
4x from both sides.
13
=
5
x

15

4
x
13=5x−15−4x

2. Simplify
5
x

15

4
x
5x−15−4x to
x

15
x−15.
13
=
x

15
13=x−15

3. Add
15
15 to both sides.
13
+
15
=
x
13+15=x

4. Simplify
13
+
15
13+15 to
28
28.
28
=
x
28=x

5.Switch sides.
x
=
28
x=28

Can anyone help me with this math equation??

Answers

Answer:

0.4

Step-by-step explanation:

if u reduce that fraction it would be 4/10 which is 0.4 in decimal form

HELP asap now lol lorf

Answers

Answer:

[tex]22\ km[/tex]

Step-by-step explanation:

One is given the following information:

[tex]10\frac{1}{1}[/tex] km were covered on Thursday[tex]10\frac{1}{1}[/tex] km were covered on Friday

One is asked to find the total distance covered on both of these days. In order to do so, one must remember in a fraction, any number over (1) is equal to the numerator (number over the fraction bar). Thus one can form the following equation:

[tex](Thursday)+(Friday) = Total\ distance[/tex]

Substitute,

[tex](Thursday)+(Friday) = Total\ distance[/tex]

[tex](10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance[/tex]

Simplify,

[tex](10\frac{1}{1})+(10\frac{1}{1}) = Total\ distance[/tex]

[tex](10+1)+(10+1) = Total\ distance[/tex]

[tex](11)+(11)=Total\ distance[/tex]

[tex]11+11=Total\ distance[/tex]

[tex]22=Total\ distance[/tex]

13 p
Roxanna invested $10,000 in an account that earns 8.5% interest that is
compounded monthly. Determine the amount of money in the account in
15 years. (Lesson 7-10b)

Answers

Answer:

$35,100

Step-by-step explanation:

Given data

Principal=$10000

Rate= 8.5%

Time = 15 years = 180 months

The expression for monthly compounded interest is

A=P(1+r/12)^t

substitute

A=10000(1+0.085/12)^180

A=10000(1+0.007)^180

A=10000(1.007)^180

A=10000*3.51

A=$35,100

Hence the balance is $35,100

Name an angle of

A) 40°

Answers

Answer:

acute angle

AB is 40°

and ED is also 40°

Step-by-step explanation:

Have a nice day!

That is an acute angle

plz help thank u so much.

Answers

168 sq feet
7.0 feet
A=1/2 base x height
352 sq inches

Answer:

Q.1 area of triangle =1/2×base×height

area oftriangle=1/2×21 feet×16 feet

area of triangle =168feet²

Q.2 A=1/2×base×height

Q.3 area of triangle =1/2× base×height

35feet² =1/2×10feet× h

35 feet² =5 feet×h

35feet²/5 feet = h

7feet = h

Q.4 area of triangle =1/2×base×height

area of triangle =1/2×32×22

area of triangle =352 feet²

the present price of a car is 33750 every year the price decreased by 4% find the price of a car after 4 years​

Answers

Answer: 28,665 currency units

Step-by-step explanation:

Find the value of the car after 4 years using the Future value formula:

= Amount * ( 1 + rate) ^ no. of years

= 33,750 * ( 1 + (-4%))⁴

= 33,750 * 0.84934656‬

= 28,665.45

= 28,665 currency units

one ticket costs $8. if you have $56, how many tickets can you buy?


please show work if it’s possible!!:)

Answers

Answer:

7

Step-by-step explanation:

because 56 divided by 8 = 7

or 7 x 8 = 56

hope this helps?

if its right can i have brainlist?

:')?

Answer:

You can buy 7 tickets

Step-by-step explanation:

56 devided by 8 is 7

I keep getting this wrong. I got f(x)=1/2^x

Answers

Answer:

Try that....

[tex]f(x) = \frac{1}{ {5}^{x} } [/tex]

Step-by-step explanation:

I hope that is useful for you :)

What are the solutions to 2(x – 7)2 = 32
A. x = 7+ 132
B.x = V65
C.x:3 and x = 11
D. X:-1 and x = 15

Answers

Answer:

C. x:3 and x = 11

Can anyone please help me with this math equation?

Answers

Answer:

1/5

Step-by-step explanation:

umm what's (3/5)/3

1/5

The scatter plot shows the number of new magazine subscriptions compared with the percentage of advertisements in the magazines
A. The number of new subscribers to the new magazines will increase

B. The number of new subscribers to the magazines will decrease

C. The advertising revenue will increase the profit of the magazine

D. There is no association in the data to make a prediction

Answers

Answer:

The answer is B!

Step-by-step explanation:

I hope this helps! Have a great rest of your day!


[tex] 25x { }^{2} + (5x - 3)(2x + 7) - 9[/tex]

Answers

Step-by-step explanation:

[tex]5x - 3 \times 7x + 10[/tex]

Answer:

35x² + 29x - 30

Step-by-step explanation:

Given

25x² + (5x - 3)(2x + 7) - 9 ← expand factors using FOIL

= 25x² + 10x² + 29x - 21 - 9 ← collect like terms

= 35x² + 29x - 30

what is the volume of this rectangular prism​

Answers

Answer: 56

Step-by-step explanation: 7 * 2 * 4 = 56

Answer:

V = 56

Step-by-step explanation:

Rectangle prism Volume:

V = whl

Given:

w = 4

h = 2

l = 7

Work:

V = whl

V = (4)(2)(7)

V = 56

round 33.885 to the nearest 100th​

Answers

Answer:

33.89

Step-by-step explanation:

How to Calculate Rounding to the Nearest 100th?

If the digit after hundredth is greater than or equal to 5, add 1 to hundredth. Else remove the digit. Example

124.586

The third digit of right of decimal point is 6

The second digit after decimal point is 8 which is greater than 5

So add 1 to 8

Result = 124.59

Answer:

it's 33.89 hope it helps

A baker made 6 pounds of dough. He used 8 9 of the dough to make sandwich rolls. How much of the dough is left over?

Answers

Answer:

2/3 pound of dough is left

Step-by-step explanation:

Amount of dough available = 6 pounds

The amount used in making sandwich rolls = 8/9 of the total amount

= [tex]\frac{8}{9} \times6 = 5\frac{1}{3} pounds[/tex]

Therefore, amount of dough left over [tex]= 6- 5\frac{1}{3} = \frac{2}{3} \\[/tex]

Hence, 2/3 pounds of dough is left

2. A printing machine makes 240 books
in 30 hours. Written as a unit rate,
what is the speed at which the printing
machine makes books?
Answer quick plzzz

Answers

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer: 8 books/ hour

Explanation:

240 / 30 = 8 books/ hour

I hope this helped!

<!> Brainliest is appreciated! <!>

- Zack Slocum

*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆

Answer:

8 books

Step-by-step explanation:

durjddndndnfnenfdndndnfn

hope this helps!


The length of the base of an isosceles triangle is x. The length of a leg is 4x - 4. The perimeter of the triangle is 118. Find x.

Answers

Answer:

x = 14

Step-by-step explanation:

4x - 4 + 4x - 4 + x = 118

9x - 8 = 118

9x = 126

x = 14

Find an expression which represents the sum of (-8x+7y)(−8x+7y) and (2x-2y)(2x−2y) in simplest terms.

Answers

Answer:

Step-by-step explanation:

(-8x+7y)(-8x+7y)+(2x-2y)(2x-2y)

=64x²-56xy-56xy+49y²+(4x²-4xy-4xy+4y²)

=64x²-112xy+49y²+4x²-8xy+4y²

=68x²-120xy+53y²

(-7,-5) lies in which of the following quadrants [ ]

a) Q1 b) Q2 C) Q3 d) Q4​

Answers

Answer:

C) Q3

Step-by-step explanation:

Starting from the origin, go along the x-axis in a negative direction (left) and along the y-axis in a negative direction (down).

A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form?

–n2 + 3n + 5
n2 + 6n + 1
2n2 + 6n – 1
3n2 + 5

Answers

Answer:

n^2 + 6n + 1

Step-by-step explanation:

Firstly, we have to evaluate AB

What we have to do is to multiply A and B

We have this as;

n(2n + 6) = 2n^2 + 6n

Now, we have to subtract the value of C from here and that is;

(2n^2 + 6n) - (n^2 - 1)

2n^2 + 6n - n^2 + 1

= 2n^2 -n^2 + 6n + 1

= n^2 + 6n + 1

Answer:

B

Step-by-step explanation:

para envasar 600kg de mole en pasta una productora de alimentos utiliza 140 envases ¿cuantos envases se necesitará para 950kg de mole?

Answers

Answer:

link respuesta - https://answer-helper.com/mathematics/question21964709

Step-by-step explanation:

Anybody know this. Need help please!!!!

Answers

it’s C, i just used desmos

Solve for x

2 (x + 1) = -200 x= 66

2x + (-3) = = (-23) x=

X - 3 = (-9) x=

(-3x) - 5 = 16 x=

-4 (y - 2) = 12 x=

4x = (-28) x=

2x + 9 = (-15) x=

X + 5 = 18

3 (x+ 5) = 18

3x + 5 = 18

2 (x + 5) = 16

3 (y + 200) = 3000

20.8 = 4 (z + 1.1)

3 (x + 4.5) = 36

9 = 3 (x + 2)

2x + 16 = 50

14 = 2 (x + 3)

5x + 2 = 17

Answers

Answer:

---------

Step-by-step explanation:

x-3= -9

x= -9/ 3

x= -3

( -3x)-5 =16

-3x = 16+5

×= 21/-3

x = -7

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