14 A formula for determining the finite sum, S, of an arithmetic sequence of numbers is
S=n/2(a+b)
where n is the number of terms, a is the first term, and b is the last term.
Express b in terms of a, S, and n.

Answers

Answer 1

Answer:

b = 2S/n - a.

Step-by-step explanation:

S=n/2(a + b)

a + b = S / n/2

a + b = 2S/n

b = 2S/n - a.

Answer 2

If the formula for determining the sum of the given arithmetic sequence is S = n/2(a + b), then 'b' can be expressed as b = [(2S/n) - a].

What is an arithmetic sequence ?

An arithmetic sequence is a sequence where the difference between any to consecutive terms are always equal.

Here, a and b are the first and the last terms respectively and n is the number of terms.

Therefore, the sum of the arithmetic sequence is:

S = n/2(a + b)

⇒ 2S/n = (a + b)

⇒ b = (2S/n) - a

Learn more about an arithmetic sequence here: https://brainly.com/question/25715593

#Tag #SPJ2


Related Questions

please please help asap!! 19 points

Answers

Answer:

The definition of "perfect square" is: "A perfect square is a number that can be expressed as the product of an integer by itself or as the second exponent of an integer." For example, 16 would be a perfect square because [tex]4^{2}[/tex] would equal 16. But 12 is not a perfect square because no number could multiply by itself to get 12. I hope this helps you! :)

need help!!!

which addition matches the problem...

Answers

Answer:

The addition that matches the problem is the first one.

Step-by-step explanation:

The red line goes back 8 so it is a -8 and the blue line goes forward 4 so it is a postive 4.

4 + (-8) = -4

How do I solve (a+b)(3a-b)(2a+7b)
Please help

Answers

Answer:

Simplifying

-5 + -1(3a + b) + (2a + -7b) = 0

-5 + (3a * -1 + b * -1) + (2a + -7b) = 0

-5 + (-3a + -1b) + (2a + -7b) = 0

Remove parenthesis around (2a + -7b)

-5 + -3a + -1b + 2a + -7b = 0

Reorder the terms:

-5 + -3a + 2a + -1b + -7b = 0

Combine like terms: -3a + 2a = -1a

-5 + -1a + -1b + -7b = 0

Combine like terms: -1b + -7b = -8b

-5 + -1a + -8b = 0

Solving

-5 + -1a + -8b = 0

Solving for variable 'a'.

Move all terms containing a to the left, all other terms to the right.

Add '5' to each side of the equation.

-5 + -1a + 5 + -8b = 0 + 5

Reorder the terms:

-5 + 5 + -1a + -8b = 0 + 5

Combine like terms: -5 + 5 = 0

0 + -1a + -8b = 0 + 5

-1a + -8b = 0 + 5

Combine like terms: 0 + 5 = 5

-1a + -8b = 5

Add '8b' to each side of the equation.

-1a + -8b + 8b = 5 + 8b

Combine like terms: -8b + 8b = 0

-1a + 0 = 5 + 8b

-1a = 5 + 8b

Divide each side by '-1'.

a = -5 + -8b

Simplifying

a = -5 + -8b

Step-by-step explanation:

Will offer 40 points for answer
Help with math question it’s in the image

Answers

I think it’s the first one because you mirror ABC from the m-axis and then rotate ABC 90 degrees clockwise from point B’ to get to the position of triangle A”B’C”

The successor of -18

Answers

Answer:

-17

Step-by-step explanation:

−18 + 1 = −17

_____13. Public opinion polls are only estimates because (A) random digit dialing has replaced person-to-person interviewing. (B) all surveys have a sampling error. (D) samples of fewer than one million people are too small. (E) opinion polls have been deemed ineffective by political candidates.

Answers

Answer:

(B) all surveys have a sampling error.

Step-by-step explanation:

explain how you got the answer because I somehow got x > -5 as my answer, please and thanks.

Answers

Answer: x>-5

Step-by-step explanation:

-5(x+7)<-10

Distribute the -5.

-5x-35<-10

Add 35 to both sides.

-5x<25

Divide both sides by -5.

x>-5

Answer:

x > - 5

Step-by-step explanation:

-5(x+7)< -10

-5x - 35 < - 10

- 5x < - 10 + 35

x > 25/-5

3x - 5y = 4
-2x + 6y = 18

Answers

Answer:

From 1st eqn .,

3x=4+5y

X=4+5y/3

From 2nd eqn ..,

-2x+6y=18

-2(4+5y/3)+6y=18

-8+10y/3 +6y=18

-8+10y+18y/3=18

-8+28y/3=18

-8+28y=54

28y=54+8

y=62/28

y=31/14

Therefore the value of y is 31/14

Again,

Putting the value of y in ..

X=4+5y/3

=(4+5*31/14)/3

=(211/14)/3

=211/42

Step-by-step explanation:

So the value of X and y is 31/14 &211/42 respectively.

Plz mark me brainest .

Answer:

x=14:25;convert to whole number 14:y=7:75; convert to whole number is 7

Step-by-step explanation:

using determiner method {x=3and-2;y=5and6}=4and18; solution cross multiple 3×6-5×6=general determiner is 28; to solve for x exchange for the number for x with the number outside which is 4;18

Solve the given equation.
- 29 = - 13 - n
Write step by step how you solved it.

Answers

Answer:

The answer is n=16

Step-by-step explanation:

Let's solve your equation step-by-step.

−29=−13−n

Step 1: Simplify both sides of the equation.

−29=−13−n

−29=−13+−n

−29=−n−13

Step 2: Flip the equation.

−n−13=−29

Step 3: Add 13 to both sides.

−n−13+13=−29+13

−n=−16

Step 4: Divide both sides by -1.

−n/−1 =−16/−1

n=16

-8y^10 / 2y^5
write using positive exponents

Answers

Answer:

Step-by-step explanation:

[tex]\dfrac{a^{m}}{a^{n}}=a^{m-n}\\\\\dfrac{-8y^{10}}{2y^{5}}=\dfrac{-4y^{10}}{y^{5}}=-4*y^{10-5}= -4y^{5}[/tex]

find the sum of the first seven terms -3,3,-3,3.
Show your work.

Answers

-3 as there are 3(-3+3) -3 meaning 3(0) -3 so therefore just -3

Jaylo bought a television priced at $349. She received a 20% discount and paid a 7% sales tax. What is the total price of the television? A. $74.69 B. $298.74 C. $348.87 D. $448.12

Answers

Answer:

B

Step-by-step explanation:

349 ---100%

x ------ 20%

x= (349×20)÷100

x=69.8

349-69.8=279.2

279.2 ---100%

x-----7%

x=(279.2×7)÷100

x=19.54

Final result

279.2+19.54=298.74

And final result is B

The total price of the television is B. $297.74

Given that,

Jaylo bought a television priced at $349. She received a 20% discount and paid a 7% sales tax.

Based on the above information, the calculation is as follows:

[tex]= (\$349 \times (1- 0.20) + \$349 \times (1- 0.20) \times 0.07)\\\\= \$279.20 + \$19.544[/tex]

= $297.74

Learn more: brainly.com/question/17429689

write down the prime number between 60 and 70 help me please please​

Answers

The prime numbers between 60 and 70 are 61 and 67.

Step-by-step explanation:

61 and 67 are the prime numbers between 60 and 70

(2x)/(x-1)
Find the derivative using quotient rule

Answers

Answer:

Step-by-step explanation:

see pic below for quotient rule

[tex]\frac{(2x)'(x-1)-(2x)(x-1)'}{(x-1)^2}=\frac{2(x-1)-2x}{(x-1)^2}=\frac{2x-2-2x}{(x-1)^2}=-\frac{2}{(x-1)^2}[/tex]

solve the inequality
(x+5)^2≤0

Answers

Answer:

-5

Step-by-step explanation:

who ever helps me gets brainiest

Answers

Question 8 measurements. Angle H (acute) Angle M (obtuse) Angle K (acute)

Question 9 measurements. Angle P (right) Angle Q (obtuse) Angle R (acute) Angle S (obtuse) Angle T (right)

Any angle that is visibly smaller than 90° in shape is an acute angle.

Any angle that has a square denoted inside the angle means that it is a 90° angle, therefore implying that it is a right angle.

Any angle that is visibly bigger than 90° in shape is an obtuse angle.

Note that in the Q.8, the total summation of the interior angles for a triangle is  180°. In this case, ∠H & ∠K can be safely assumed to be smaller than right angles, which means that ∠M would be either a right angle or obtuse. However, it is not given that ∠M is a right angle, and so the answer is obtuse.

a. Angle H: acute angle

b. Angle M: obtuse angle

c. Angle K: acute angle

It is given that angles P & T are right angles (as denoted by the squares). Therefore, angle Q & S are obtuse, and angle R is acute, based on visible differences:

a. angle P: Right angle.

b. angle Q: Obtuse angle.

c. angle R: Acute angle.

d. angle S: Obtuse angle.

e. angle T: Right angle.

Usually you will not be using visibility to solve the angle measurements, but in this case, it is not stated that shapes are not drawn to scale. Therefore, you can safely assume based on what the angles look like to answer.

3 (n+1) - 5 = 3n - 1

I need help with this question

Answers

Answer:

There are no solutions.

Step-by-step explanation:

3(n+1) = 3n+3.

3n+3-5 = 3n-2.

3n-2 doesn't equal 3n-1, so there are no solutions.


- How are the functions y = x and y = x + 4 related? How are their graphs related?

Answers

Answer:

Either horizontal translation 4 units to the left or vertical translation UP 4 units

Step-by-step explanation:

which fact helps you prove the isosceles triangle theorem, which states that the base angles of any isosceles triangle have equal measure?

Answers

It’s d there you go and your welcome (^_^)v

Answer:

If one angle of a triangle is larger then another angle, then the side opposite then the larger angle is longer then the side oposite to the smaller angle

Step-by-step explanation:

whats the solution of 4-|x| = 1

Answers

Answer:

Well, x=3, -3

Step-by-step explanation:

If you use a calculator you'll easily be able to figure this out.

Answer:

x = -3 or x = 3

Step-by-step explanation:

4 - |x| = 1

Subtract 4 from both sides:

4 - 4 - |x| = 1 - 4

- |x| = -3

Divide both sides by -1:

[tex]\frac{-|x|}{-1} = \frac{-3}{-1}[/tex]

x = -3 or x = 3

help - *sobs* lol T_T

Answers

I think it’s either 124 or 112

A. 112°

21x+5+37x+1=180

58x+6=180

-6

58x=174

÷58

X=3

37(3)+1

111+1

112

Evaluate for b

50 = -1/3b + 20

Answers

Answer:

50=−13⋅+20

Step-by-step explanation:

One-fourth of a number is five-eights. Find the number. Simplify your answer

Answers

Answer:

2.50 or 2.5

Step-by-step explanation:

1/4=.25 so 25% of a number=5/8=0.625

So we multiply .625*4 to get the number. Since it's 25% and we want 100% to get it back to the original number

.625*4=2.50 or 2.5

1. Find F(2) if f(x) = 8x+15/9x-3



2. Find the Domain of F(x) = x+8/x-7


3. R(x)= 8x+3/x^3 - 4x^2 + 3x

Answers

Answer:

thats a crazy question

Step-by-step explanation:

how the tables have turned

Answer:

8 + 4 = 12

Step-by-step explanation:

Brainyyyy

PLEASE HELP IT’S DUR TMR

Answers

Answer:

10+10+10

Step-by-step explanation:

answer these 3 questoins

Answers

Answer:

b) m = 1/2

c) m = 3

d) m = 1/3

Step-by-step explanation:

b) rise = 1, run = 2; m = rise/run, so m = 1/2

c) rise = 3, run = 1; m = rise/run, so m = 3

d) rise = 1, run = 3; m = rise/run, so m = 1/3

Which of the following relations is not a function?
{(0,0),(1,0),(2,0)}
{(1,2),(3,-5),(-1,7)}
{(7,-1),(3,-2),(5,-2)}
{(-1,3)(4,2),(-1,5)}

Answers

Answer:

the last one

Step-by-step explanation:

because you have two (-1) and that means it is not a function.

Which of the sets of terms below does NOT include like terms? *
1 point
9m, -9m, 7m
1p, -7p, 7p
30, -25, 25
6x, 6y, 6z

Answers

6x, 6y, and 6z are not like terms because they do not have all of the same variables.

Please help :)
40 percent of the leaves are still green. If there are 12,000 total leaves, how many are no longer green?

Answers

Answer: 7200

Step-by-step explanation:

40 percent of leaves are green so 60 percent of leaves are no longer green.

there are 12000 total leaves so [tex]\frac{60}{100}[/tex] × [tex]12000[/tex] = 7200

please give me a brainliest answer

1'm b0r3d l0l l0l l0l l0l​

Answers

Yeah your not the only one i am to

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