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

If you have a group of 14 boys and 13 girls, and you want to choose 3 from each group, how many ways can this be done?

Answers

Answer:

8 ways

Step-by-step explanation:

14+13=27

27/3=8

I think that's right. Sorry if it isn't

4 (– 2а – 6b + 5а — 1)

Answers

Answer:

Evaluate: 12a - 24b - 4

The answer to your problem is:12a-24b-4

[VERBAL DESCEPTION]
[EQUATION]
A pest control compony charges $2.50 per
Cubic inch of pesticides used cluse service
fee of $75 for the treatment
[TABLE]
[GRAPH]
PROCESS
CUBIC
INCHES
25
TOTAL
COST
818

Answers

D hope that helps aha with the time and you mark your time on your phone your time and brown and you can help me out and brown your eyes and brown your hair like that you can see

The cost of painting a circular traffic sign is $3.50 per square foot. How much, to the nearest dollar, will it cost to paint the sign if its diameter measures 36 inches?

Answers

Answer:

The answer is $25

Explanation:

area of a circle = pi x r^2

using 3.14 for pi

radius = 36/2 =18

area = 3.14 x 18^2 = 1017.36 square inches

1 sq ft = 144"

1017.36/144 = 7.065 sq ft

7.065*3.50 = $24.73 to the nearest dollar = $25

The length of a rectangle can be rpresented by the expression x+6. If the area of the rectangle is 2x^2+8x-24, what is the expression for the width.

Answers

Answer:

2(x − 2)

Step-by-step explanation:

The length of a rectangle can be rpresented by the expression x+6. If the area of the rectangle is 2x^2+8x-24, what is the expression for the width.

The formula for the area of a rectangle = Length × Width

Area of the rectangle = 2x² + 8x - 24

Length = x + 6

We can find the width of the rectangle be factoring the Area

Hence, factorising

2x² + 8x - 24

= 2(x − 2)( x + 6)

Therefore, the Width of the rectangle =2(x − 2)

True or false:
29 < 5

Answers

Answer:

False

Step-by-step explanation:

29 is more than 5

Just a bit help here, heh... -8a^0?

Answers

Answer:

-8 is the answer

Step-by-step explanation:

BCos any number or letter raised to the power zero is 1

-8*a⁰

-8*1

-8

What is the volume of the composite figure? 1,200 units3 4,400 units3 5,040 units3 6,000 units3

Answers

Answer:

6000

Step-by-step explanation:

Answer:

the answer is D

Step-by-step explanation:

Juan rides his bike 12.6 miles in 3 hours. Find his average speed in miles per hour.

Answers

Answer:

I believe the answer would be 4.2

Step-by-step explanation:

Reason for this is because I divided 12.6 by 3 and got 4.2, then I added 4.2 + 4.2 and got 8.4, so then I added 4.2 to 8.4 and got 12.6. Hope this helps :)

ASAP ILL GIVE BRAINEST!!!
Find the LENGTH of Arc ABC.

Answers

Answer:

whats this homework called and ill help u

Step-by-step explanation:

Sandra is 30 years old and deciding which investment she would like to make. She has $2,500 to invest.

Option A: Invest $2,500 and earn 3% of its value each year.

Option B: Invest $2,500 and earn $200 per year.

How many years would it be when both investments would yield the same amount of earnings?

Group of answer choices
??? which one

Answers

12.596 I hope this helps!!

Measures of center and variation can be used to describe data sets. Choose ALL statements about these measures that are true.
The mean, or average is a measure of center
The range of data set is a measure of center
The median of a data set is a measure of variability.
Measures of variability describe how the values in a data set vary.
Measures of Center describe all values in a data set with a single number

Answers

Answer:

These are the answers:

A) The mean, or average, is a measure of center.

D) Measures of variability describe how the values in a data set vary.

E) Measures of center describe all values in a data set with a single number.

The mean, or average is a measure of center

Measures of variability describe how the values in a data set vary.

Measures of Center describe all values in a data set with a single number

What is Median?

The median is the value that's exactly in the middle of a data set when it is ordered. It's a measure of central tendency that separates the lowest 50% from the highest 50% of values. The steps for finding the median differ depending on whether you have an odd or an even number of data points

Arrange the data points from smallest to largest.

If the number of data points is odd, the median is the middle data point in the list.

If the number of data points is even, the median is the average of the two middle data points in the list.

Given data ,

The following statements about measures of center and variation are true:

The mean, or average, is a measure of center.

Measures of variability describe how the values in a data set vary.

Measures of center describe all values in a data set with a single number.

The statement "The range of data set is a measure of center" is false. The range is a measure of variability, not center.

The statement "The median of a data set is a measure of variability" is also false. The median is a measure of center, not variability

To learn more about median click :

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Please Help!!
One of the longer sides of a kite is 39 feet. One of the shorter sides is 25 feet. Half the length of the shorter diagonal is 15 feet. what is the area of the kite? (Round to whole if necessary)

Answers

Answer:

487.5 sq ft

Step-by-step explanation:

What is the mode of the following numbers?
8,1,2,6, 1,4

Answers

Answer:

1

Step-by-step explanation:

Because, The mode is the value that appears most often in a set of data values. If X is a discrete random variable, the mode is the value x at which the probability mass function takes its maximum value. In other words, it is the value that is most likely to be sampled.

The mode is 1
This is because its the number that appears the most. Hope this helps

A jar contains 3 red marbles, 6 blue marbles, 5 green marbles and 6 yellow marbles. Assume there is replacement.

Answers

I believe the answer would be 36/400, 9/100, or 9%

(I believe you are asking for the probability of picking blue then another blue )

So, in the jar, there are 20 marbles, 6 of which are blue, so pick one would be a 6/20 or 3/10 ≈ 33.3%

Assuming that you grabbed a blue marble then it was replaced with another blue marble, you would multiply 6/20 and 6/20 (the individual chances of getting one blue) and get 36/400, which simplifies to 9/100 or 9%

Please correct me if I am wrong, have a good day!

Jill had 2 apples. Addy gave Jill 5 more apples. How many apples does Jill have altogether? Mark, you brainlieest if correct!

Answers

Answer:

its 7 apples

Step-by-step explanation:

Brainliest pls

Answer:

its......wait somebody answered it already :(

What is the area?

Write your answer as a fraction or as a whole or mixed number.

Answers

1.3/4.1/2 = 3/8 yd^2
good luck :))

Help please I dont get it

Answers

Answer:

7. IJ = KH

8. reflexive property

9. because of side side side (SSS)

what is the vertex of the graph?



A. (2,2)

B. (1,3)

C. (3,1)

D. (0,2)

Answers

Answer: B

Step-by-step explanation:

On the map, Winton ,California is located at(“ (2,10.5) in Lake Tahoe is located at (14,16). Each unit on the map equals 16.5 miles what is the approximate distance between the cities round to the nearest mile.

Answers

Answer:

The distance between the two

points on the map

is 225 units

Step-by-step explanation:

Firstly, we need to calculate the distance in units between the two locations on the map

What we have to use here is the distance formula

Mathematically, we have this as;

D = √(x2-x1)^2 + (y2-y1)^2

(x1,y1) = (2,10.5)

(x2,y2) = (14,16)

we have the distance as follows;

D = √(14-2)^2 + (16-10.5)^2

D = √(12^2 + 6.5^2)

D = √(186.25)

D = 13.65 units

now, from the question, 1 unit on the map represents a distance of 16.5 miles

thus, a distance of 13.65 units will be;

16.5 * 13.65 = 225.225

= 225 units

Marcus receives an inheritance of ​$3,000. He decides to invest this money in a 11 ​-year certificate of deposit​ (CD) that pays 5.0 ​% interest compounded monthly. How much money will Marcus receive when he redeems the CD at the end of the ​11 years?

Answers

......:............................:.:.:...................

Marcus will receive $5,193.82 when he redeems the CD at the end of the ​11 years.

What is compound interest?

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

A=P(1+r/n[tex])^{nt}[/tex]

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Marcus receives an inheritance of ​$3,000.

He decides to invest this money in an 11 ​-year certificate of deposit​ (CD) that pays 5.0 ​% interest compounded monthly.

P = $3,000

r =5%

t = 11 years

A=P(1+r/n[tex])^{nt}[/tex]

Substitute the values of P, r and t in the formula,

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A=P(1+r/n[tex])^{nt}[/tex]

A = 3,000.00(1 + 0.05/12[tex])^{(12)(11)}[/tex]

A = 3,000.00(1 + 0.0041666666666667[tex])^{132}[/tex]

A = $5,193.82

Therefore, Marcus will receive $5,193.82.

To learn more about the compound interest rate;

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Can someone help me oit

Answers

Answer:

The correct answer is letter D

the minute hand on a grandfather clock is 8 inches long what is the circumference of the circle to the nearest tenth of an inch traveled by the minute hand in one hour​

Answers

Answer:

50.2 inches

Step-by-step explanation:

circumference =2pir

2(3.14)8

6.28(8)

50.24 inches roused to the tenth place so 20.2

Answer:

50.27 or 16pi

Step-by-step explanation:

C = 2πr = 2·π·8 ≈ 50.26548 or 16pi

To find the vertex, What must you do with the value you get from the formula −b/2a
the options are
A. That value is your vertex
B. I have no idea, I haven't listened all week
C. Plug it into original equation
D. Plug it into quadratic formula

Answers

Answer:

C.

Step-by-step explanation:

You would need to plug it into your example equation. This is because you would need the slope of that equation. Hope this helped you out!!!

Choose the correct choice for the product Tu:
f
[1]
o
O Undefined
DONE
The resulting matrix creates an image that is a
reflection across the
DONE

Answers

Answer:

[-1,4] and line y = -x

Step-by-step explanation:

Answer:

B. [tex]\left[\begin{array}{ccc}1\\-4\end{array}\right][/tex]

B. line y = -x

Step-by-step explanation:

edge :)

have a lovely day <3

6. Move each vertex one more time to a different location.
What is the sum of the angle measures of the quadrilateral?

Answers

Answer:

360

Step-by-step explanation:

I got it right

can somebody please help me?

Answers

Answer:

solution given:

x²+4x

a.x(x+4)=x²+4x[true]

b.(x+2)²=x²+4x+4[false]

c.(x+x)(x+4)=2x²+8x[false]

d.(x+2)²-4=x²+4x+4-4=x²+4x[true]

e.(x+4)x=x²+4x[true]

Step-by-step explanation:

your selection is;

A.

D.

E.

Answer:
A
D
E

Explanation: i took this test a while back

Which ordered pair describes a point that is located 4 units to the left of the origin and 2 units below the x-axis?

Answers

Answer:

(-4,2)

Step-by-step explanation:

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

The point is located 4 units to the left of the origin and 2 units below the

x-axis.

4 units to the left of the origin.

This means,

x = -4

2 units below the x-axis.

This means,

y = -2

The coordinate in the form of ordered pair is (-4, -2).

Thus,

The ordered pair that describes a point that is located 4 units to the left of the origin and 2 units below the x-axis is (-4, -2)

Learn more about coordinates here:

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Need Help!!!! I will give Brainliest

Answers

Answer:

Line C

Step-by-step explanation:

Hope you pass

Can someone pleaseeee help and if you’re correct i’ll give brainliest

Answers

Answer:

The last one

Step-by-step explanation:

Pentagon has 5 sides, it only has 4 sides.

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