What is the sum of an 8 term geometric series if the first term is -11 and the last term is 859,375 and the common ratio is -5

Answers

Answer 1

Answer:716,144

Step-by-step explanation:

Given

No of the terms in GP [tex]n=8[/tex]

First-term [tex]a=-11[/tex]

last term [tex]a_n=859,375\quad (ar^{n-1})[/tex]

Common ratio [tex]r=-5[/tex]

The Sum of a GP is given by

[tex]S_n=\dfrac{a(1-r^n)}{1-r}\quad \quad [r<1][/tex]

Put the values

[tex]\Rightarrow S_n=\dfrac{-11(1-(-5)^8)}{1-(-5)}\\\\\Rightarrow S_n=\dfrac{-11\times -390624}{6}\\\\\Rightarrow S_n=\dfrac{42,96,864}{6}=716,144[/tex]


Related Questions

y
3
2
1
-4
-3 -2
-1
1
2
2
3
4
-1+
-2+
-3+
-4
What is the slope of the line?

Answers

Answer:

1/2

Step-by-step explanation:

y = mx + b is slope intercept form.

b = y intercept. where the line first passes through on the y axis

that number is 3.

y = mx + 3.

to find M (slope) you have to do RISE / RUN.

Run is going left or right from a point

Rise is going up or down from a point.

To make sure you find the slope, when you Rise and Run, it has to hit another point on the graph.

From the y - intercept 3, RISE (go up) 1 and RUN (go left) 2.

So, the slope is 1/2.

The company charges $45 a day for the car
as well as charging a one-time $25 fee for
the car’s navigation system (GPS). Write an
equation for the cost in dollars, C, as a
function of the number of days, d, the car
was rented.

Answers

Answer:

I personally find it easier to put my equation in words before actually writing the equation, so for this particular situation, the equation would sound like this :

→ The cost (C) is equal to 45$ a day (d) plus 25$!

Now that your equation is put into words, all that you have to do is write down the equation without the words :

→ C = (45d) + 25

If you want to make sure that your equation is correct, you can try it out, say for instance you want to rent a car for a week, so for a total of 7 days, and you want to see how much it would cost :

d = 7 (in this particular situation)

C = (45 × 7) +25

C = 315 + 25

C = 340

→ So it would cost 340$ to rent a car for a week!

credit goes to naomi479xx for solving this answer.

Please help links=report and if correct I’ll mark you brainiest

Answers

Answer:

A is the correct answer.

Hope this helps [tex]\mathtt{: )}[/tex]

What is the angle of rotation counterclockwise about the spinner’s center that maps label h to label A? 252° 324° 144° 216°

Answers

Answer:

its 324

Step-by-step explanation:

Also I need part b on this one

Answers

Answer:

there is nothing here but thanks for the points

Step-by-step explanation:

Have a great rest of your day/night!

Equation C: y = 6x + 9 Equation D: y = 6x + 2 How many solutions are there to the given set of equations?

Answers

Answer:

No solution

Step-by-step explanation:

Equation C :

y = 6x + 9

Equation D :

y = 6x + 2

By comparing both the equations with slope-intercept form of the equation,

y = mx + b

Where, m = Slope of the line

And b = y-intercept

Slopes of both the lines C and D are common as 6,

Therefore, both the lines will be parallel.

And the set of parallel lines has no solution.

Therefore, given set of equations have no solution.


At an auto repair shop. 3.5 hours of labour costs $311.50. What is the labour
charge for a 5 hour job?

Answers

445 .                       Answer:

Step-by-step explanation:

445 I think ………………………….

pls help with this its for math pls help

Answers

Answer:

first option

Step-by-step explanation:

divide each side by 'wh' to get:

l = V/wh

How should I come out to my parents as lesbian? I'm low-key scared they won't support me, any techniques on how to get over that? :')

Answers

honestly just try to breathe, and when you tell them sit down with them and tell them straight up.      

What is the surface area of the cone in terms of π. Enter your answer in the box. and the radius is 8cm and the height is 15

Answers

Answer:

it should be 628.32 I'm not sure if I'm correct

If your input is 7 what is your output?

Answers

Answer:

the answer would be 32 then. you start with 7 then add 1 then Multiple by 4 which equals 32

7+1*4 = 32. I think this is it i’m not sure.

I need help with this question

Answers

Answer:

2n=12

Step-by-step explanation:

The next step would be to subtract four from each side getting 2n=12 or B

which expression is equivalent to
-2(x+4) -(3x+8)?
A) 5x+16
B) 5x-16
C) -5x+16
D) -5x-16

Answers

Answer:

D

Step-by-step explanation:

-2x - 8 - 3x - 8

= - 5x - 16

Write the equation of the line that passes through the points (9, -8) and (-7,3).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.

Answers

Answer:

y=-0.6875x -1.8125

y= -11/16x -29/16

Step-by-step explanation:

A rocket is launched from a tower. The height of the rocket, y in feet, is
related to the time after launch, x in seconds, by the given equation.
Using this equation, find out the time at which the rocket will reach its
max, to the nearest 100th of a second.

y = 16x^2+ 238x + 81

Answers

We need the max height as well

Answer: 7.44

Step-by-step explanation: DeltaMath

For the data set 1,7,7,7,8, the mean is 6. what is the mean absolute deviation?

Answers

Answer:

The answer is 2

Step-by-step explanation:

First you need to calculate how far away each data point is from the mean using positive distances. These are called absolute deviations. All of the points add up to 10. Then you divide that number by how many points there are which is 5 and you get 2.

Hope that helps. =)

Answer:

the answer is 2

Step-by-step explanation:

hoped I helped

Michelle and Natasha each had to repair their new iPhones. The initial cost of each repair is $100. Michelle and Natasha each have two discount coupons. Each of them uses both coupons toward the cost of the repair. One coupon is for $25 off the repair cost and the other coupon is for 20% off the repair cost. Michelle and Natasha use their coupons in a different order, as shown below.

Michelle uses the 20% off the repair cost coupon first. She then uses the $25 off the repair cost coupon on the remaining balance.

Natasha uses the $25 off the repair cost coupon first. She then uses the 20% off the repair cost coupon on the remaining balance.

Who paid the least amount of money for the iPhone repair?

Answers

Answer:

natasha paid the least amount

Calculate the amount of money you will have in the bank after 5 years if you deposit 25.000 into a savings account that pays 3.0% interest com pounded continuously​

Answers

Answer:

29045.86.

Step-by-step explanation:

Total  = 25000e^(5*0.03) = 29045.86

I need help on this, please help​

Answers

Answer:i tihnk football is .45 and tennis is .18?

Step-by-step explanation:

i dont know if this is right but im pretty sure it is

The regular price of a pair of Rothy's (water bottle shoes) is $145. They are on sale for 38% off. What is the sale price?

Answers

Answer:

$89.90

Step-by-step explanation:

38% corresponds to the decimal fraction 0.38.  

The amount of the discount is 0.38($145), or $55.10.  Subtracting this amount from the regular price yields $145 - $55.10 = $89.90.

A faster way of doing this problem is to subtract 0.38 from 1.00, obtaining 0.62, and then multiplying $145 by this 0.62:  $89.90.

How many minutes are there in 12.5 hours?

Answers

Answer:

750 minutes

Step-by-step explanation:

Answer:

750 minutes would be your answer

Step-by-step explanation:

please help, need help asap!

Answers

The correct answer is letter C

Katherine's paycheck was $436.14. She put 1/3 of her paycheck into a savings acount and used 1/2 for what was left to pay for her new phone,
How much money does she have remaining from her paycheck?

Answers

Answer:

$145.38

Step-by-step explanation:

436.14-(1/3)(436.14)-(1/2)(436.14) = 145.38

The amount of money that Katherine left after considering all fractions will be $145.38.

What is a fraction?

In such a fraction, the value that appears above the horizontal line is referred to as the numerator.

The denominator of a fraction is the numerical value that comes before the brings together various.

It represents the number of pieces removed from the whole.

As per the given,

Initial amount = $436.14

1/3 of it is = (1/3)436.14 = $145.38

Since, she saved into a saving account so she left with,

$436.14 - $145.38 = $290.76

Now,1/2 of it will be,

(1/2)290.76 = $145.38.

Hence "The amount of money that Katherine left after considering all fractions will be $145.38".

For more about fractions,

https://brainly.com/question/10354322

#SPJ2

Someone plz answer this plz

Answers

4x+1=6x-29

vvvvvvvvvv

-2x=-30

x=-15

4 x -15= -60

angle 3 =59 degrees

angle 6= 119 degrees

PLEASE HELP GEOMETRY PLEASE! SHOW WORK!!

Answers

Answer:

area = 24 cm²

Step-by-step explanation:

area = 1/2 x 6 x 8 = 24 cm²

can someone help me with this question

Answers

the last one with four boxes of x over 24

2xyz - 3xy2z - 5x3z

help me please

Answers

Answer:

2xyz - 3x[tex]y^{2}[/tex]z-5[tex]x^{3}[/tex]z

Step-by-step explanation:

HELPP ME PLSSSSSSS I NEED IT NOW PLSSS. How could you calculate the x-coordinate of the midpoint of a horizontal
segment with endpoints at (0,0) and (20,0)?

Answers

c? i’m pretty sure sorry if it’s wrong

Answer:

The correct answer is B: Count by hand and D: Divide 20 by 2

Step-by-step explanation:

I just got it correct.

Simplify 5c(2/5d-4)-3(c+2)+d(c+5)

Answers

Hey there!

-3(c+2)+d(c+5)

All you have to do is DISTRIBUTE

-3(c) + (-3)(2) + d(c) + d(5)

-3c - 6 + cd + 5d

SOLVE ABOVE and you have your ANSWER

Answer: cd - 3c + 5d - 6

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Help please thank you:) QUICKLY!!!!!!!!!

Answers

Answer:

y = -8

Step-by-step explanation:

2x2 - 12

4 - 12 = -8

hope this helps

I think -8, but im sorry if it is wrong
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