what is the sum of the first five terms of the geometric sequence in which a1=5 and r=1/5
express your answer as an improper fraction.

Answers

Answer 1

Answer:

Sum of the first five terms of the geometric sequence in which a1=5 and r=1/5 is [tex]\mathbf{S_n=\frac{781}{125} }[/tex]

Step-by-step explanation:

We need to find sum of the first five terms of the geometric sequence in which a1=5 and r=1/5

The formula used to find sum of the geometric sequence is: [tex]S_n=\frac{a(r^n-1)}{r-1}[/tex]

Where a is the first term, r is the common ratio and n is the number of terms

Now finding sum of the first five terms of the geometric sequence

We have a=5, r=1/5 and n=5

Putting values in the formula:

[tex]S_n=\frac{a(r^n-1)}{r-1}\\S_n=\frac{5((\frac{1}{5}) ^5-1)}{\frac{1}{5}-1}\\S_n=\frac{5(\frac{1}{3125}-1)}{\frac{1-5}{5}}\\S_n=\frac{5(\frac{1-3125}{3125})}{\frac{-4}{5}}\\S_n=\frac{5(\frac{-3124}{3125})}{\frac{-4}{5}}\\S_n=5(\frac{-3124}{3125})}\times{\frac{-5}{4}}\\S_n=\frac{781}{125}[/tex]

So, sum of the first five terms of the geometric sequence in which a1=5 and r=1/5 is [tex]\mathbf{S_n=\frac{781}{125} }[/tex]


Related Questions

6/ PLEASE HELP ME ASAP.

Answers

Answer:

40

Step-by-step explanation:

In the minute number 2, you can see the intersection point in 40 packs.

Best regards

guys please help me with this serous question

Answers

Answer:

Step-by-step explanation:

$1 times 5 equals $5

$30-$5= $25

$25 divide by each 5 friends equals $5. So your answer is $5

Help I need the answer as soon as possible

Answers

Answer:

D.

Step-by-step explanation:

First, you multiply 18 1/4 with 10 1/2 and you get 191 5/8. Then you multiply 191 5/8 with 12 3/4 and you get D. 2443 7/32

Solve for x.

-x/3= 2

A.x = -6
B.x = 6
C.x = -1

Answers

Answer:

I thinK b dont blame me if wrong

Step-by-step explanation:

Answer:

-6

Step-by-step explanation:

The answer is negative 6.

What is the domain of the function graphed?
A) {x: x greater or equal to 4}
B) {x: x less than or equal to 2}
C) {x: x greater than or equal to 2}
D) All Real Numbers

Answers

Answer:

I think is c

Step-by-step explanation:

check if 7 is a solution of the equation 4 ( Z - 3 ) = 16. step by step plz guys. ​

Answers

Answer:

YES

Step-by-step explanation:

4(Z-3)=16

4Z-12=16

  +12 +12

4Z=28

Z=7

Answer:7

Step-by-step explanation:

4(z-3)=16

4z-12=16

4z=28

4z/4=28/4

z =7

Rick’s scores in his last 15 rounds of golf are 72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, and 72. If he scores an 80 on each of the next three rounds, which measure of center would increase more, the mean or median?

Answers

Answer:

The median increased more

Step-by-step explanation:

Given that:

Scores on last 15 :

72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72

Obtaining the range, mean, median and mode from the data above :

Rearranged data:

68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 81, 83, 84

Range = 84 - 64 = 16

Mode = 72 - frequency of 3)

Mean = ΣX / n where n = sample size

Mean = 1140 / 15 = 76

Median = 0.5(n+1)th term = 0.5(16)th term =

8th term = 75

A score of 80 on each of next 3 rounds :

72, 80, 75, 84, 78, 72, 75, 68, 81, 74, 79, 70, 77, 83, 72, 80, 80, 80

Rearranged data:

68, 70, 72, 72, 72, 74, 75, 75, 77, 78, 79, 80, 80, 80, 80, 81, 83, 84

Range = 84 - 68 = 16

Mean = ΣX / n where n = sample size

Mean = 1380 / 18 = 76.67

Median =0.5(n+1)th term = 0.5(19)th term =

9.5 = (9th term +. 10th term) / 2 = (77 +78) / 2 = 77.5

For several hours you watch a group playing dice on the street and you notice that the owner of the dice often wins. Do
you conclude that he is just very lucky? In two ôr more complete sentences, explain why or why not you conclude that
the owner of the dice is lucky.

Answers

He isn't lucky nor unlucky

Step-by-step explanation:

If The owner Wins every round/time he has to be skilled if he's winning for several hours

3x + y = 15 What is the solution of this system of equations? (5x+2y=-4​

Answers

Answer:

x=34    y=-87     (34,-87)

Step-by-step explanation:

3x+y=15              rewrite to solve for y  ----->    y=15-3x

5x+2y=-4

Plug y=15-3x into 5x+2y=-4

So, 5x+2 (15-3x)=-4

Distribute: 5x+30-6x=-4

Combine like terms: 30-x=-4

Solve for x   -x=-34

Solve for x   x=34

Then, to solve for y, plug "x" into 3x+y=15

So, 3(34)+y=15

Distribute: 102+y=15

Solve for y  y=-87

3m + 3

m= -7


A: -18
B: 24
c: -12

Answers

Answer:

Step-by-step explanation:ambient temperatures. This tape withstands a temperature range of 32 to 356 ° F (0 to 180 °C). ... 3M™ PTFE Film Electrical Tape 62, 3/8 in x 36 yd, 24 Rolls/ Case. Part Number 62 ... 3M 60 PTFE Film Tape B. 1 of 1. 3M 60 PTFE ... 32.9 m. Overall Width (Imperial). 0.375 in. Overall Width (Metric). 9.53 mm. Product Color.

-8(6x - 7y) - (24x - 3y)

Answers

Answer:

-72x + 10y

Step-by-step explanation:

First apply the Distributive Property of Multiplication:

-8(6x - 7y) becomes -48x + 7y and -(24x - 3y) becomes -24x + 3y.

Combining like terms, we get -72x + 10y

Answer:

-21x+53y

Step-by-step explanation:

learned it

In the least-squares regression line, the desired sum of the errors (residuals) should be:_____.
a) maximized.
b) 1.
c) positive.
d) negative.
e) zero.

Answers

The answer is C post it I’ve

In the least-squares regression line, the desired sum of the errors (residuals) should be: zero

What is Number system?

A number system is defined as a system of writing to express numbers.

The key word here is "desired". We wish to make the errors as small as possible. The smallest any individual error can get is 0. Adding the entire collection of zeros will sum in a total of zero.

An error of zero means we hit the mark exactly. The unfortunate reality is that error is going to happen, so we'll have some positive error values with any regression line (or curve). It's only when all points are on the same line is when we have zero error and perfect interpolation rather than regression.

Again, the question is asking about desired error and the ultimate goal is to make the error zero. The next best thing is to minimize it as small as possible

Hence in the least-squares regression line, the desired sum of the errors (residuals) should be: zero

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Can some one help me please god bless you


25 points

Answers

God bless you too !!!!!!!!!!!

what is the coefficient of 4x+9

Answers

It’s a number of a number that’s a number that goes there bc it’s a number
I think it’s 4 :) but not sure

Richard is selling bundles of wood. The total weight of the wood he is selling is 6,165 pounds, and there are 90 bundles. If each bundle weighs the same, how much does one bundle of wood weigh?

Answers

Answer:

each bundle weighs 68.5 lb

Step-by-step explanation:

6165/ 90

Solve for EG. A) 18 B) 12 9 D) 6​

Answers

Answer:

a

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

BRAINLIEST PLEASE

Please please please help me In what year did the car value for below $9000

A.in year 6
B. In year 8
C. In year 2
D. In year 4

Answers

Answer:

D

Step-by-step explanation:

I don’t know how to do this lol someone help

Answers

Description:

                1:

Subtract the numbers 14-2 =12

Add the numbers 3+3 =6

Drivide the numbers 12/6 =2

Answer:

1: =2

Hope this helps

What is the slope of the line that passes through the points E(5, 1) and F(2-7)?
12 Points)

Answers

Answer:

8/3

Step-by-step explanation:

the slope is 8/3 i am sure

In a survey of 300 adults, 45 had traveled outside the United States before. What percentage of adults had traveled outside the U.S. before?
Explain GOOD to get brainly

Answers

Answer:

15%

Step-by-step explanation:

45/300*100=15

hope it helps

Can someone please help with writing this out as equation?

The student council has decided to sell t-shirts with a school logo to promote school spirit. Amanda investigated 1 company that would charge $75 to make the printing screen for the shirts, and then $5.50 per shirt. Adam checked out a 2nd company that would charge a straight $7 per shirt. Which company's option would respresent a proprtional relationship? You should support your answer with an equation, a table of values, or a graph.

Answers

1+1=2 ;&;&:’snaj8:&;$/&/8182929857748382

can anyone help me find the answers please !!

Answers

Slope: -3/2
Y-int: 4
Slope intercept form: y= -3/2x + 4
Slope= 3/-2 Y-Intercept= 4 Slope-Intercept form= y= 3/-2 +4

Hellllp please asap

Answers

33 would be the correct answer
33 would be the answer

Diana got 0.85 of the questions correct on her assessment. What fraction
represents the amount of questions she got incorrect?

Answers

Answer:

85100

Step-by-step explanation:

the decimal 0.85 can be converted to the fraction 85100 , by defintion of a decmial.

PLS HELP STATTTTTTTTTTTTTTTTTTTTT
Miss Hampton has 88 gold stickers. She wants to give the same number of stickers to each of her 9 students. If she gives away as many stickers as she can, how many stickers will be left over? [REMAINDER]

Answers

Answer:

She will have 7 stickers left over

Answer:

She will have 7 gold-painted stickers left.

If she gives each of them 9, then she'll be giving away 81.

Step-by-step explanation:

Help me fast pleasee

Answers

Answer:

y=3x

Step-by-step explanation:

hope it helped

A 6.50% coupon bond with 18 years left to maturity is offered for sale at $1,035.25. What yield to maturity [interest rate] is the bond offering? Assume interest payments are paid semi-annually, and solve using semi-annual compounding. Par value is $1000.

Answers

Answer:

The yield to maturity is 6.3974%

Step-by-step explanation:

The computation of the yield to maturity is as follows

Given that

NPER = 18 × 2 = 36

PMT = $1,035.25 × 6.50% ÷ 2 = $33.65

PV = $1,035.25

FV = $1,000

The formula is shown below:

=RATE(NPER;PMT;-PV;FV;TYPE)

The present value comes in negative

AFter applying the above formula, the yield to maturity is

= 3.1987% × 2

= 6.3974%

Hence, the yield to maturity is 6.3974%

Enter the value for x
that makes the equation 16=−4(x−1)+4
true.

Answers

Answer:

-2

Step-by-step explanation:

16=-4x+4+4

16=-4x+8

4x=8-16

4x=-8

x=-2

Tthe required value of x is -2 for which the given expression is true.

What is simplification?

The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.

here,
Given expression,
16 = -4(x - 1) + 4
16 - 4 = -4(x - 1)
x - 1 = 12 / -4
x = -3 + 1
x = -2

Thus, the required value of x is -2 for which the given expression is true.

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There are 17 students on the bus and 22 adults. What is the ratio of students to total?​

Answers

Answer:

17:39

Step-by-step explanation:

17+22= 39

total students 17

so 17:39

hope it helps!

Answer:

The ratio is 17:39

Step-by-step explanation:

So 17 boys=17 at beginning

To find how many in total, do 17+22=39!

So 17:39

Hope this helps! And mark This Brainliest please!!

What are the coordinates of the point on the directed line segment from (–9, -7) to
(-2,7) that partitions the segment into a ratio of 3 to 4?

Answers

Answer:

Step-by-step explanation:

Saving the long, drawn out derivation of the formulas to find the x and y coordinates of the directed point, suffice it to say that it is:

x coordinate: [tex]\frac{bx_1+ax_2}{a+b}[/tex] and

y coordinate: [tex]\frac{by_1+ay_2}{a+b}[/tex]

where x1, x2, y1, and y2 are the coordinates from the given points and a and b are the numbers in the ratio, namely a = 3 and b = 4. Filling in accordingly:

the x coordinate of the directed point is

[tex]\frac{4(-9)+3(-2)}{7}[/tex] which simplifies down to -6, and

the y coordinate of the directed point is

[tex]\frac{4(-7)+3(7)}{7}[/tex] which simplifies down to -1.

The coordinate of the point is (-6, -1). Write that down so you don't forget it.

The coordinates of the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4 are (-5, 1).

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,

To find the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4, we need to use the formula.

[tex]P = ( (4x_2 + 3x_1)/(4+3), (4y_2 + 3y_1)/(4 + 3) )[/tex]

where P is the point we're looking for, (x1, y1) and (x2, y2) are the coordinates of the two endpoints of the segment, and the numbers 4 and 3 come from the ratio 3 to 4.

Plugging in the values.

P = ( (4 x (-2) + 3 x (-9))/(4 + 3), (47 + 3(-7))/(4 + 3) )

Simplifying.

P = (-5, 1)

Therefore,

The coordinates of the point that partitions the line segment from (-9,-7) to (-2,7) into a ratio of 3 to 4 are (-5, 1).

Learn more about coordinates here:

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