The formula S=n(a1+an)/2 gives the partial sum of an artithmetic sequence what is the formula solved for an?

Answers

Answer 1

Answer:

S = n(a1 + an)/2

2S = n(a1 + an)

2S = na1 + nan

nan = 2S - na1

an = (2S - n a1)/n

Step-by-step explanation:

hope it's right


Related Questions

2. Find the domain of the function (f/g)(x) where f (x)= x^2 – 9 and g(x)= x^2 - 4x+3

A (-infinity, infinity)
B (-infinity, 1) (1, infinity)
C (infinity, 1) (1,3) (3, infinity)
D (-infinty, -3) (-3,-1)(-1, infinity)

Answers

Answer:

I think you mean C.

Step-by-step explanation:

f(x) / g(x) = (x + 3)(x - 3)

                ==========

                  (x - 3)(x - 1)

f(x)/g(x) = (x+3) / (x - 1)

- ∞ < 1 U 1 < 3 U 3 < ∞  

help!!! this is due tomorrow!!!!!

Answers

It’s b
I think…………………………………………..

The figure below shows a rope that circles the Earth. The radius of the Earth is 6371 kilometers. Assuming the rope makes a perfect circle, what is the length of this rope? Give your answer in terms of pi. kilometers​

Answers

Answer:

12742π kilometers

Step-by-step explanation:

Circumference = 2πr

Circumference = 2(r)π

r = 6371

Circumference = 12742π

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

12742

Step-by-step explanation: Khan Academy

-5r - 3r = ?
Can someone explain how to do solve this? ​

Answers

Answer:

-8r

Step-by-step explanation:

-5r - 3r

Combine like terms

Factor out r

r( -5-3)

-8r

Answer:

like bases  combine under add/subtract

-5 minus 3 is -8

-8r would be the solution

Step-by-step explanation:

It's geometry please help me

Answers

Answer:

x=13

Step-by-step explanation:

C is the midpoint of line BD, BC=CD. 6x-16=4x+10, x=13

Find the value of x that will make L||M.

Answers

Answer:

Corresponding angles are equal

8x + 2 = 7x + 9

8x - 7x = 9 - 2

x = 7

In cashing a check for $220, Christina asked for the whole amount in $10 and $20 bills. She received a total of 13 bills, four of them being $10 bills.
O True
O False

Answers

Hi

if she recieived 13 bills and 4 are 10 $? then we have 13-4= 9 20$ bills

so 4x10 +9x20 = 40+180 = 220

So yes it's true

Which shape fits the description below?
A three-sided figure with angle measures of 60°, 60°, and 40°.
X.
Y.
Z.
OA. Y
OB. Z
OC. X
OD. The shape is nonexistent.

Answers

Answer:

OD for a triangle to exist it must equal 180 degrees as a final and this one only equals 160

Answer:

D. The shape is nonexistent.

Step-by-step explanation:

A triangle's angles must add up to 180 degrees.

60+60+40 is 160.

160[tex]\neq[/tex]180

If the volume of a cube is 27 m^3, what is the surface area of the cube, in square meters

Answers

Step-by-step explanation:

25847 /5839(3910)466410(:75920)2

what are surds? how many types of surds are there?​

Answers

When we can't simplify a root under variable further or we can't remove the root sign that is called surd.It may be a square root or cube root or n th root .They are especially called irrational numbers.

Ex:-

[tex]\\ \rm\longmapsto \sqrt{9}=3[/tex]Hence its not a surd.

but

.

[tex]\\ \rm\longmapsto \sqrt{3},\sqrt{7}[/tex]Are surds.

There are six types of surds such as :

Simple surdsPure SurdsSimilar SurdsMixed SurdsCompound SurdsBinomial Surds.

Math For test HELPPPP plz due in 45 mins

Answers

It’s BD because it need to be the opposite ray and this one is the opposite ray so yes this is it



4y + 3x + 2y + 9x + 4
Anyone down to help with this and other ones ?

Answers

Answer:

6y+12x+4

Step-by-step explanation:

4y + 3x + 2y + 9x + 4

Combine like terms

4y+2y   +3x+9x    +4

6y           +12x      +4

In a rotation, pairs of corresponding points are on parallel lines?

Answers

Step-by-step explanation:

Corresponding angles are congruent if the two lines are parallel. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.

If A/B and C/D
are rational expressions, then
AxC/BxD = AxD/BxC
A. True
B. False

Answers

Answer:

True

Step-by-step explanation:

If A/B and C/D are rational expression then

A/B*C/D

Or

A/B*C/D=A/C*B/D

It means that if A/B and C/D are rational expression then their product with each other will also be a rational expression.

what is -3 5/6x-4/7?

Answers

Answer:

35

x

6

4

7

35x   -   4

6            7

Step-by-step explanation:

2/1 rounded to the nearest thousandth

Answers

Answer:

when you divide 2by1you get 2so you can't really round off

Alex is 1.3 meters tall. His brother, Raul, is 0.6 times as tall as Alex. How tall is Raul?

Answers

Answer:

.78

Step-by-step explanation:

1.3 x0.6 is .78. easy peasy

Watch help video
Determine if v 49 is rational or irrational and give a reason for your answer.
The number 49 is rational
because

Answers

Step-by-step explanation:

If a number is rational, we can represent it as a fraction.

[tex] \frac{a}{b} [/tex]

Where a and b are intergers.

First, we know that

[tex] \sqrt{49} = 7[/tex]

We can represent 7 as

[tex] \frac{7}{1} ..... \frac{14}{2} .... \frac{21}{3} ..... \frac{n}{y} = 7[/tex]

Where n and y are two numbers that when divided equal 7.

So

[tex] \sqrt{49} [/tex]

is a rational number

Find three consecutive even integers such that five times the second is six more than twice the sum
of the first and third integers

Answers

Answer:

The first number = 4The second number = 6The third number = 8

Step-by-step explanation:

Let all unknown numbers be represented by the variable x.So;

x = first number

x + 2 = second number

x + 4 = third number

placing in a form as demanded by the question.

5(x + 2) = 6 + 2x + 2 ( x + 4)

5x + 10 = 6 + 2x + 2x +8

5x - 4x = 14 - 10

x = 4

Therefore;

The first number (x) = 4

The second number ( x + 2) = 4 + 2 = 6

The third number (x + 4) = 4 + 4 = 8

Answer:

2x + 2x +2 + 2x +4 = 6x +6 =Sum

5 * (2x +2) = 2 * (2x + 2x +4) +6

10x + 10 = 8x + 8 + 6

2x = 4

x = 2

So the numbers are:

2x or 4

2 x + 2 = 6

2x + 4 = 8

Double-Check

5 * 2nd integer = 30

2 *  (1st + 3rd integers) = 24

30 is 6 more than 24

Success!!!

Step-by-step explanation:

(1/2)^x=2^-x could anyone tell me why​

Answers

Answer:

Anything to a negative power is always the reciprocal. An example might be 2⁻² can be written as 1/4

Step-by-step explanation:

Evaluate each expression for the given values of m and n. 2m - 4n(3m – 4) if m= 1 and n= -3 (2)​

Answers

Answer: -22

Concept:

Here, we need to understand the idea of evaluation.  

When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.

Solve:

Given information

m = 1

n = -3 (2) = -6

Given expression

2m - 4n (3m - 4)

Substitute values into the expression

=2(1) - 4(-6) (3(1) - 4)

Simplify by multiplication

=2 + 24 (3 - 4)

Simplify values in the parentheses

=2 + 24 (-1)

Simplify by multiplication

=2 - 24

Simplify by subtraction

=[tex]\boxed{-22}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

Given an isosceles right triangle that is oriented so that it is sitting on its hypotenuse, and the length of the hypotenuse is 12 mm. What is the height (from the hypotenuse to the vertex of the two legs) of this triangle as it sits

Answers

Answer:

5,12,13

Step-by-step explanation:

SEE THE IMAGE FOR SOLUTION

HOPE IT HELPS

HAVE A GREAT DAY

5(-7k+4d) Use k=-7 and d=4

Simplified is??

Answers

Answer:

325

Step-by-step explanation:

k = -7

d=4

5(-7k + 4d)

5(-7(-7) + 4(4))

5(49 + 16)

325

please give brainliest I need it to level up

Is 9.5 an irrational number

Answers

Answer:

yes it is.....................

Step-by-step explanation:

9.5 = 19/2

So it is a rational number (and so is not irrational)

Is this right besties ? I’m doing a package because my schools shutdown :((

Answers

Answer:

Everything is good but the 7th one. it shold be 6.009x10^-3

What are the potential solutions of In(x2 - 25) = 0?
Ox= 113
O x= 15
x=+26
Ox=+10

Answers

Answer:

e^0=x^2-25=1

x^2=26

x=sqrt(26), pos and neg

The potential solution of the given equation is x=±√26. Therefore, option C is the correct answer.

What is an equation?

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

The given equation is ln(x²-25)=0

x²-25>0

(x+5)(x-5)>0 (∵a²-b²=(a+b)(a-b))

x>-5 and x>5

Now, e⁰=x²-25

1=x²-25

x²=26

x=±√26

Therefore, option C is the correct answer.

To learn more about an equation visit:

https://brainly.com/question/14686792.

#SPJ7

A53 degrees
B143degrees
C37degrees
D90degrees
????????????

Answers

Answer:

143 = EFD

Step-by-step explanation:

The two angles form a straight line

AFD = 180

AFD = AFE + EFD

180 = 37+ EFD

180 -37 = EFD

143 = EFD

What is the answer plz answer this one

Answers

Answer:

it would be the 1st option or in other words the one on the top left

K is between J and M. L is
between K and M. M is
between K and N. If JN = 14, KM = 4, and JK = KL = LM, what is NL?

(do step-by-step fully pls)

Answers

Step-by-step explanation:

given,

K is between J and M, L is between K and M, M is between K and N. JN = 14, KM=4 and JK= KL= LM

NL=?

according to the question,

J-------K-------L------M--------N

We know,

KM= 4

KL+LM=4

KL+KL=4 (LM=KM)

2KL=4

KL=2

SO,

JK=KL=2 and LM=KL=2

we have ,

JN=14

JK+KM+MN= 14

2+4+MN=14

MN=8

Now,

NL=LM+MN= 2+8= 10

What is a expression equivalent to 9-(-12)

Answers

Answer:

9 + 12

Step-by-step explanation:

Two negative signs together makes addition!

Hope this helps!

- doomdabomb
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