Find a formula for the general term
an (not the partial sum) of each infinite series (with starting point of n = 1.)
4/12+1+1/22+1+4/32+1+1/42+1+................

Answers

Answer 1

Answer and Explanation:

Solution: For the general term of each infinite series,

     n=1 and the series are:

4/12+1+1/22+1+4/32+1+1/42+1+……..

Let [4/12 +1] + [1/22 + 1] + [4/32+1] + [1/42+1] +………

Sum of infinite series= ∑n=1 [4/n+11 + 1/n] + [1/n+21 + 1/n] + [4/n+31 + 1/n] + [1/n+41 +1/n] +………..

For n=1.


Related Questions

A person draws a card from a hat. Each card is one color, with the following probabilities of being drawn: 1/25 for black, 1/5 for yellow,1/15 for blue, and 1/10 for white. What is the probability of pulling a black or yellow card, written as a reduced fraction?

Answers

Step-by-step explanation:

P(black or yellow) = P(black) + P(yellow) − P(black and yellow)

P(black or yellow) = 1/25 + 1/5 − 0

P(black or yellow) = 6/25

Two pounds of sugar cost $1.40. How much sugar do you get per dollar? Round your answer to the nearest hundredth, if necessary.

Answers

Answer:

1.429 lbs per dollar of sugar

Step-by-step explanation:

multiply by 5 get 10 lbs of sugar for 7 dollars divide by 7 get 1.4285 round up

Based on the cost of two pounds of sugar, we can calculate the quantity of sugar to a dollar to be 0.7 pounds.

Sugar per dollar

You can find out the quantity of sugar you get per dollar using the formula:

= Price of sugar / Number of pounds

Solving gives

= 1.40 / 2

= 0.7 pounds

In conclusion, you get 0.7 pounds.

Find out more about cost per unit at https://brainly.com/question/24398532.

A candy jar has 24 candies. One-third of the candies are chocolate of the leftover candies, half are gummy bears and the other half is skittles. How many skittles are in the jar

Answers

Answer:

8

Step-by-step explanation:

one third of 24 is 8 and then you have 16 leftover so you divide 16 by 2 and you will get 8

8i to the power of 62

Answers

Answer: -8

Step-by-step explanation:

The football team has a total of 50 jerseys There are 30 ​medium-sized jerseys. What percent of the jerseys are​ medium-sized jerseys?

Answers

Answer:

60%

Step-by-step explanation:

Answer:

60

Step-by-step explanation:

because 30/50 × 2 =60/100 =60%

I bought three pencils costing 18 cents each. how much change did I get from $1​

Answers

Answer:

15 pencils

Step-by-step explanation:

18c/3

x/1

cross multiply then divide

Answer:

46 cents

Step-by-step explanation:

18 x 3 = 54

100 - 54 = 46

-does anyone understand Stand this also does anyone else need help

Answers

Answer:

I think its j

Step-by-step explanation:

Answer: Choice F) [tex]x \le -5[/tex]

====================================================

Explanation:

One long rectangle represents x. Four of them represent 4x

One tiny unshaded square represents a unit 1. Specifically this value is positive. We have 2 columns and 6 rows, so there are 2*6 = 12 tiny squares.

So the stuff in the first box (the four long rectangles and the 12 tiny unshaded squares) represent the expression 4x+12

The stuff in the second box is -8 since we have 8 shaded squares each shaded square being -1.

----------------

The inequality we need to solve is [tex]4x+12 \le -8[/tex]

We'll subtract 12 from both sides, then divide both sides by 4 to fully isolate x

This is what the steps would look like:

[tex]4x+12 \le -8\\\\\\4x+12-12 \le -8-12 \ \text{ subtract 12 from both sides}\\\\\\4x \le -20\\\\\\\frac{4x}{4} \le \frac{-20}{4} \ \text{ Divide both sides by 4}\\\\\\x \le -5\\\\\\[/tex]

The inequality sign does not flip since we did not divide both sides by a negative number.

The equation A=1250(1.03)^7 is being used to calculate the amount of money in a savings account. What does the 1.03 represent in this equation?

Answers

Answer:

The amount of Interest

Step-by-step explanation:

I'm 98% sure. It make sense because that how much interest ^7 you would multiply by 1250. And I've had questions like this. Hope this helps!

Which of the following can be represented by the equation y=2x

Answers

What are the equations?

Answer:

table a

Step-by-step explanation:

because just look

Write -0.35 as a mixed number in simplest form

Answers

Step-by-step explanation:

[tex] \huge - 0.35 = - \frac{35}{100} = - \frac{7}{20} [/tex]

During a recent beetle infestation, two-thirds of the ash trees in the area were destroyed. If 130 trees were destroyed, how many ash trees were originally in the area?

Answers

195.

set this up as a proportion with 2/3 = 130/x
130 x 3 = 390
390 / 2 = 195

Answer:

195 Trees

Step-by-step explanation:

2/3 is just 2 of 3 parts

2 parts of the trees is 130,

so divide 130 by 2, and that's 65.

Since you know 65 + 65 is the same as 2 out of 3

Then just add 65 one more time to equal 195.

Since, 65*3 is the same as saying 1 * 3 parts

130 is equal to 2/3, so 195 is equal to 3/3.

Which of the following can not be used to express the number 8?
eight below zero
positive eight
+8
eight more than zero

Answers

Answer:

A positive number or a number that is greater than zero

Step-by-step explanation:

Maggie's brother is 10 years younger than three times her age. The sum of their ages is 50. How old is Maggie?

Maggie is _____ Years old

Answers

Answer:

9

Step-by-step explanation:

Answer: 15

Please see the picture attached!

I hope this helps! If it does, a brainliest would be much appreciated :)

please help me solve this math problem, tryna graduate here

Answers

Answer:

141°

Step-by-step explanation:

Maggie's brother is 8 years younger than twice her age. The sum of their ages is 25.
How old is Maggie?
Maggie is
years old.

Answers

Answer:

the sum is 25 not 24?

Step-by-step explanation:

You and a friend are sharing a swing. You have swung 11 times while your friend has swung twice as many times. Which of the following is a good estimation of how many more times your friend has swung than you?

Answers

Answer:

10

Step-by-step explanation:

Find the intercepts of the equation.
4x + 7y = - 84

Answers

x-intercept is (-21,0)
y-intercept is (0,-12)

To find the x and y intercepts, we have to plug 0 into x and y respectively.

4(0) + 7y = -84

Simplify.

7y = -84

Divide both sides by 7

y = -12

The y-intercept = (0, -12)

4x + 7(0) = -84

Simplify.

4x = -84

Divide both sides by 4

x = -21

The x-intercept = (-21, 0)

At a school there are six lessons in a day.
In total, the six lessons last for five hours.

Assume that each lesson lasts the same amount of time.
How many minutes long is the final lesson?

Answers

Answer:

the answer is about 50 minutes

Step-by-step explanation:

5 ÷ 6 = .83 which is about 50 minutes so each lesson is about 50mins

Please answer ASAP my assigned due tomorrow WORTH 15 POINTS

Answers

Answer:

$7.74

Step-by-step explanation:

The school buys 350 books. These books, in total, costed the school $1137.50. The school wants to make a profit of $1500.

For the school to make a profit on its purchase, it needs to earn $1500 more than the price that they paid for the books.

This means that we can add these values together to get the minimum amount that the school needs to earn

[tex]1137.50+1500=2637.50[/tex]

Now that we have the minimum value, we can divide this by 350 in order to find the minimum price for each individual book.

[tex]\frac{2637.50}{350} =7.7357=7.74[/tex]

This means that the school needs to sell these books for at least $7.74

(... This fictional school is selling the books for more than double the price they paid for them...)

The freeman family is barbecuing veggi burgers corn on the cobs and mushrooms caps in their local park if 3/8 of the items are barbecued are veggie burgers and 1/3 of the items are barbecued are corn on the cobs what fraction of barbecued items are mushrooms caps

Answers

so you need to figure out what number can both eight and 3 go into (24) and then you are going to see that eight times three is 24 for the denominator and then times the numerator by 3 for 9/24 and then do the same for the veggie burgers, (8/24) so then add 9/24 and 8/24 to get 17/24 and then do 24-17 for and answer of 7. so the answer is 7/24 of the barbecued items are mushroom caps.

Answer:

7/24

Step-by-step explanation:

5.4 inches of snow fell in 3.6 hours. How much snow fell per hour?

Answers

Answer:

1.5 per hour.

Step-by-step explanation:

By proportion that is 5.4 / 3.6

= 1.5 per hour.

Four sisters buy a total of 3 1/2 feet of ribbon . The sisters want to share the ribbon equally how many feet of ribbon will each sister receive? 3/8 ft , 1/4 ft,1/2 ft, 7/8 ft

Answers

Answer:

each sister receives (7/8) ft of ribbon

Step-by-step explanation:

Let's start by writing the total amount of ribbon in fraction form:

3  1/2  = 3 + (1/2) = (7/2)

Now, we need to perform the division: (7/2) divided by 4

in order to find how much ribbon each sister gets. We convert the division of fractions into a product to make the operation simpler. This is done by using the reciprocal of the number that divides (in our case the reciprocal of "4" which is: (1/4):

(7/2) divided 4 = (7/2) x (1/4)

and we multiply the fractions obtaining:

(7/8)

So, each sister receives (7/8) ft of ribbon

what is the answer? x+300=500 Will mark brainliest for high quality answers

Answers

Answer: x=  

3

500

​  

=166.667

Step-by-step explanation:

This deals with adding, subtracting and finding the least common multiple.

Hey there!

ANSWER: [tex]x=200[/tex]EXPLANATION:

[tex]x+300=500[/tex]

To solve this, we can just do 500 - 300.

[tex]500-300=200\\x=200(ANSWER)[/tex]

Hope this helps!

[tex]-TestedHyperr[/tex]

Can someone Identify the terms and coefficients;

8x-20y-10

Answers

Answer:

cooeficients are + 8,20 and 10

terms are x and y

Ten less than 3 times a number is the same as the number plus 4.​

Answers

Step-by-step explanation:

10 - 3x = x-4

Collect like terms

10 +4 = x + 3x

14 = 4x

Divide both sides by 4

X = 14

4

= 7

2

= 6 1

2

Or

= 6.5

help help help help ​

Answers

Answer:

combine like terms

Step-by-step explanation:

Find two consecutive whole numbers that 56 lies between.
(NEED ASAP PLEASE !!)

Answers

the 56 whole number
Do u have a imagine of the problem :)

help me plz 50 points and ill give brainliest if you answer all​

Answers

Answer:

11) [tex]2x=-4[/tex]

Divide both sides by 2:

[tex]\frac{2x}{2}=\frac{-4}{2}[/tex]

[tex]x=-2[/tex]

12) [tex]2^3\cdot \:2^1=2^{3+1}=2^4[/tex]

([tex]2^4=16)[/tex] if you wanted the exact value.

13) [tex]-3+10=x[/tex]

Switch sides:

[tex]x=-3+10[/tex]

Rearrange:

[tex]x=10-3[/tex]

[tex]x=7[/tex]

14) [tex]10^2-64[/tex]

[tex]10*10-64[/tex]

[tex]100-64[/tex]

[tex]36[/tex]

15) [tex]\sqrt{100}-5^2[/tex]

[tex]10-5^2[/tex]

[tex]10-5*5[/tex]

[tex]10-25[/tex]

[tex]-15[/tex]

16) [tex]\frac{1}{4}x=-10[/tex]

Multiply both sides by 4:

[tex]4\cdot \frac{1}{4}x=4\left(-10\right)[/tex]

[tex]x=-40[/tex]

17) [tex]\left(2^3\right)^2=2^{3*2}=2^6[/tex]

[tex](2^6=64)[/tex] if you wanted the exact value.

18) [tex]\left(2^3\right)\left(2^2\right)=2^{3+2}=2^5[/tex]

[tex](2^5=32)[/tex] if you wanted the exact value.

Bonus Question:

Terrorist attacks took place against the United States in September 11 2001.

This is named "September 11 attacks" and you can search more about it online.

Answer:

10. x = -2

12. 16

13. x = 7

14. 36

15. -15

16.  x = -40

17. 64

18. 32

Friday 9/11 The plane hijackings that struck the World Trade Center, the Pentagon, and a Pennsylvania field killed 2,977 people.

Step-by-step explanation:

Please help please help

Answers

Answer:

1/9 is the correct answer Hope this helps!!

Step-by-step explanation:

Answer:

1/9 or .111111111111111

Step-by-step explanation:

The rose garden’s boundary can easily be turned over to create a mirror image of the garden’s shape. If Vincent reflects the original rose garden across the x-axis, what will the coordinates of the rose garden’s vertices be after the reflection? Use the terms A', B', C', and D'.

Answers

Answer: A(3,-6), B(3,-3), C(4,-3), and D(4,-6)

Step-by-step explanation:

Because the rosegarden reflects across the x-axis, the x-coordinates of the vertices with remain the same. However, the sign of the vertices’ y-coordinations will change. The coordinates of the reflective figure will be A(3,-6), B(3,-3), C(4,-3), and D(4,-6).

*edmentum answer*

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