Find the sum of the first 47 terms of the following series, to the nearest integer.
13, 18, 23, ...

Answers

Answer 1

Answer:

The sum of the first 47 terms of the given series = 6016

Step-by-step explanation:

Given the sequence

13, 18, 23, ...

An arithmetic sequence has a constant difference 'd' and is defined by

[tex]a_n=a_1+\left(n-1\right)d[/tex]

[tex]18-13=5,\:\quad \:23-18=5[/tex]

As the difference between all the adjacent terms is the same.

so

[tex]d=5[/tex]

[tex]a_1=13[/tex]

Arithmetic sequence sum formula

[tex]n\left(a_1+\frac{d\left(n-1\right)}{2}\right)[/tex]

Put the values

[tex]d=5[/tex]

[tex]a_1=13[/tex]

[tex]n=47[/tex]

[tex]=47\left(13+\frac{5\left(47-1\right)}{2}\right)[/tex]

[tex]=47\left(13+\frac{5\left(47-1\right)}{2}\right)[/tex]

[tex]=47\left(13+115\right)[/tex]

[tex]=47\cdot \:128[/tex]

[tex]=6016[/tex]

Thus, the sum of the first 47 terms of the given series = 6016


Related Questions

Which graph represents a nonlinear function?​

Answers

Answer:

It's the second one :) I think?

it’s the second one, nonlinear functions are curved, linear functions are straight.

After a 25% discount, the price of a t-shirt was $12. What was the price before the discount?

Answers

Answer:

0.75

Step-by-step explanation:

0.75 x 16 = 12

Many of you guys think it's 16 and you are some way correct but you guys forget to multiply it by 0.75

PLZ give me good reviews :)

The price before the discount was $16.

What is the percentage?

The percentage is a ratio that can be expressed as a fraction of 100.

Given that, the price of the -shirt is $12 after a 25% discount.

Since a 25% discount was given, only 75% of the actual amount was paid.

Therefore, it follows;

75% = $12

1% = $ (12/75)

100% = $(12/75) × 100

100% = $16

Hence, the price before the discount was $16.

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What’s your favorite flavor of ice.

Answers

Answer:

cherry

Step-by-step explanation:

its really good

mint or chocolate is my favorite

Which statement about determining the quotient 110÷5 is true?

A. Because 25×5=110, 110 divided by 5 is ​25​.
B. Because 12×5=110, 110 divided by 5 is ​12​.
C. Because 150×5=110, 110 divided by 5 is ​150​.
D. Because 15×5=110, 110 divided by 5 is ​15​.

Answers

None of those are true

The statement "Because 22×5=110, 110 divided by 5 is 22 is true.

Given that, 110÷5.

The division is one of the basic arithmetic operations in math in which a larger number is broken down into smaller groups having the same number of items.

Here, 5|110|22

             10

        _______

              10

              10

      ________

               0

Here, quotient = 22 and remainder = 0

We know that, Dividend = Divisor×Quotient+Remainder

110=5×22+0

110=22×5

Therefore, the statement "Because 22×5=110, 110 divided by 5 is 22 is true.

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Last year, Amy opened an investment account with $6800. At the end of the year, the amount in the account had increased by 23.5%. How much is this increase in dollars? How much money was in her account at the end of last year?

Answers

Answer:

-The increase in dollars is $1598

-The amount in her account at the end of last year was $8398.

Step-by-step explanation:

To find the increase, you have to multiply the initial amount for the percentage increase:

6800*23.5%=1598

Now, to find the amount in her account at the end of last year, you have to add the initial amount plus the increase in dollars:

6800+1598=8398

According to this, the amount in her account at the end of last year was $8398.

Someone answer this question, please.

Answers

Answer:

B. 12

Step-by-step explanation:

c-u-m definim cercul? cand spunem ca doua cercuri sunt egale? c-u-m definim coarda in cerc? Dar diametrul c-u-m il definim?
Acestea sunt intrebari la geometrie

Answers

C-u-m in my b-a-l-last

Write the factor that corresponds to the zero: x=-7
Write the factor that corresponds to the zero: x=2
Write the zero that corresponds to the factor (10x-9)

Answers

Answer:

14

Step-by-step explanation:

A 9 feet tall dragon ice sculpture is melting at a rate of 1.75 feet per hour. Write a linear function that represents this scenario.

Answers

Answer:

[tex]y = 9 - 1.75x[/tex]

Step-by-step explanation:

Given

[tex]Initial\ Height = 9ft[/tex]

[tex]Rate = 1.75ft[/tex] per hour

Required:

Determine the linear function

Let y represent the function and x represent the number of hours

The function can be represented with:

[tex]y = Initial\ Height- Rate * x[/tex]

We used minus (-) in the equation because the question indicates that the height of the sculpture reduces.

So, we have:

[tex]y = 9 - 1.75 * x[/tex]

[tex]y = 9 - 1.75x[/tex]

The function f is defined by the following rule. =fx−2x2 Complete the function table. x fx −4 0 2 3 5

Answers

Answer:

f(−3)=21

Step-by-step explanation:

To evaluate f( -3) substitute x = - 3 into f(x)

⇒f(−3)=2(−3)2−(−3)=(2×9)+3=21

Using correct notation, describe the limit of a function.

Use a table of values to estimate the limit of a function or to identify when the limit does not exist.

Use a graph to estimate the limit of a function or to identify when the limit does not exist.

Define one-sided limits and provide examples.

Explain the relationship between one-sided and two-sided limits.

Using correct notation, describe an infinite limit.

Define a vertical asymptote.

help me please !! thank you!

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This what got , hope it helps

if 0 Help needed asap!!

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Send me a photo ............………………

Answer:

then the test fails.

Step-by-step explanation:

plz, answer the question in the photo.

Answers

Answer:

2 1/4

Step-by-step explanation:

hope this helps

what is an equation of the line that passes through the point (8,0) and is parallel to the line x -4y=20

Answers

Step-by-step explanation:

Y-0 = 1/4(x-8)

4Y= x-8

4Y-x+8=0

Ronnie had a balance of $50 in his savings account. On Monday, he deposited $75.
Two days later he withdrew $20. He then deposited $220 on Friday afternoon.
How much should he deposit if he wants to have at least $400 in his savings
account?

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Answer:

125$ have a good day

Step-by-step explanation:

what is -9/4 divided by -4/9

Answers

Answer:

Step-by-step explanation:

-9/4 ÷ -4/9= -9/4 x - 9/4=-81/16= 5    1/16

Hope this helps !

Celine's daughter is a dancer who will be participating in an upcoming recital. For each dance her daughter plans to perform, she will require a different costume.

d = the number of dances Celine's daughter plans to perform
c = the number of costumes Celine's daughter will require

Which of the variables is independent and which is dependent?

Answers

Answer:

c is the dependent variable I think

Answer:

d is dependent             c is independent

Step-by-step explanation:

i hope i can i help but im not very smart

if little jimmy has $384729204399763848349392489996544454475748485119282937346584393213474738473.00 and butthead has $23345564757548585738494872934820417437474744841656954566503756532865286535632896526156275657516963654354639565435645561539655643584361956569415655635763793465756573465953465430161589584395538953765397528935972525795270.00 how much more money does Butthead have than Little Jimmy? will mark brainless

Answers

Answer:

Butthead has $2.3345564757548586e+217 more money than Little Jimmy. Step-by-step explanation:

Since we need to find the difference, subtract the larger number by the smaller number. In this case, Butthead’s money minus Little Jimmy’s money. The two SUPER BIG numbers can be converted to:

2.3345564757548586e + 217 − 3.8472920439976386e + 74

This equals: 2.3345564757548586e+217

So, Butthead has $2.3345564757548586e+217 more money than Little Jimmy.

There you go!

Answer:

since the person above me needs brainliest im answering so she/he will get it

Step-by-step explanation:

Two grocery stores charge amounts for Henry’s favorite olives mangio’s pounds:3 4 5 6
Cost: 18 24 30 36
Mangios charges blank per pound of olives I need help

Answers

Answer:

$6 per pound

Step-by-step explanation:

If you do 3 x 6 you get 1, 4 x 6 is 24, 5 x 6 is 30, 6 x 6 is 36. Those are the numbers that they cost. If this helped please consider giving it brainliest.

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( Yes I know my -•Trix• is not my user but its what I would change it to if I could but I can't)

According to the graph below. What is the distance traveled
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Answers

distance traveled in five hours is 200 miles

Answer:

the answer is 200 miles

Step-by-step

Same question I answered it but I don’t know if it’s correct

Answers

Answer:

Yes it is correct

Step-by-step explanation:

A good way to know it's correct is the "three times a number" because that's how you would know it's 3x

Please help fast too easy questions for double the points I’ll give brainless also and 10 point!

Answers

Answer:

78.5

Step-by-step explanation:

add 1+2+3+4+5+6+7+100-56=78.5

The base is 19.

The second question is 5^1/2

Could you mark me as brainliest please?

SCHOOL PROJECT Green Valley Middle School is
selling wrapping paper. For each roll of wrapping paper
sold the school receives 45 cents. How many rolls of
wrapping paper must be sold to reach their goal of at
least $81?

Answers

Answer:

180 rolls.

Step-by-step explanation:

0.45x = 81

x = 81/0.45

x = 180

What must be subtracted from the product of 25 and 23 to equal 275​

Answers

300 must be subtracted from the product of 25 and 23 to equal 275.

find all real values of $t$ that satisfy the equation $t^2 = 324$. the answer is 18.

Answers

Answer:

the real values that satisfy the equation are:

[tex]t=18,\:t=-18[/tex]

Step-by-step explanation:

Given the equation

$t² = 324$

Let us solve the equation

[tex]t^2=324[/tex]

[tex]\mathrm{For\:}x^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}x=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}[/tex]

[tex]t=\sqrt{324},\:t=-\sqrt{324}[/tex]

as

[tex]\sqrt{324}=18[/tex][tex]-\sqrt{324}=-18[/tex]

so

[tex]t=18,\:t=-18[/tex]

Thus, the real values that satisfy the equation are:

[tex]t=18,\:t=-18[/tex]

Ur account got ha ked again...

well...

ill let you see for

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!!

Answers

Answer:

2nd answer

Step-by-step explanation:

Answer: 6, 10, 16

Reason:
with a triangle the longest angle should be lower than the two smaller angles combined.

Take for instance

5, 11, 15

5+11= 16

16 is greater than 15

12+ 20= 32

32 is greater

12 + 20 = 32

32 is greater than 30

10 + 6 = 16

16 is not greater than 16

Hope this helps

2 The point C ( − 3 , − 1 ) C(−3, −1) is rotated 18 0 ∘ 180 ∘ clockwise about the origin. ​ ​What are the coordinates of the resulting point, C ′ C ′ ? A (3, 1)(3, 1) B (−3, 1)(−3, 1) C (3, −1)(3, −1) D (−1, −3)(−1, −3)

Answers

Answer:

A (3, 1)

Step-by-step explanation:

If we have the coordinate (x,y), if this coordinate is rotated by 180 degrees clockwise, the resulting coordinate will be expressed as (-x, -y) i.e the original coordinate axis are both negated.

Given the coordinate C(-3, -1), if this coordinate is rotated clockwise about the origin, the coordinate of the resulting point will be at C' (-(-3), -(-1))

C' (-(-3), -(-1))

C' = (3, 1)

Hence option A is correct

On a map in a geography textbook, the scale is 1 inch equals 60 miles.What is the actual distance for a map distance of 4 1/4 inches?

Answers

Answer:

255 miles

Step-by-step explanation:

if 1 inch is 60 miles then you need to times 60 miles by 4.25 which is the same thing as 4 1/4. you then get 255 miles.

Which expression is equivalent to -3(4x - 0.50)?

A. -12x - 1.50
B. -12x + 1.50
C. -12x - 2.50
D. -12x - 3.50

Answers

Answer:

It's the B

Step-by-step explanation:

Multiply - 3 by 4x = - 12x

Multiply - 3 by - 0.5 = 1.5

Hope this helps, have a good day

Please help everyone trolling me​

Answers

Answer:

3

Step-by-step explanation:

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