Write an equation for the n term of the arithmetic sequence -1, 4, 9, 14, . Then find a50

Answers

Answer 1

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = - 1

To find the common difference subtract the previous term from the next term

We have

d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n) = - 1 + (n - 1)(5) \\ = - 1 + 5n - 5 \\ = 5n - 6 \: \: \: \: \: \: \: \: \: \: \: [/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50) = 5(50) - 6 \\ \: \: \: \: \: \: \: \: \: = 250 - 6 \\ \: = 244[/tex]

Hope this helps you

Answer 2

Step-by-step explanation:

The sequence above is an arithmetic sequence

For an nth term in an arithmetic sequence

A(n) = a + ( n - 1)d

where a is the first term

n is the number of terms

d is the common difference

From the question

a = - 1

To find the common difference subtract the previous term from the next term

d = 4 --1 = 4 + 1 = 5 or 9 - 4 = 5

Therefore d = 5

Substitute the values into the general formula

That's

[tex]A(n)=−1+(n−1)(5) \\ \: \: \: \: \: \: \: \: =−1+5n−5 \\ =5n−6[/tex]

To find A(50) substitute the value of n that's 50 into the formula above

[tex]A(50)=5(50)−6 \\ \: \: \: \: \: \: \: \: =250−6 \\ \: \: =244[/tex]


Related Questions

1.) 7x-3=18
2.) 9x-4=32
3.) 5x-1=64
4.)12x-9=39
5.) 2x-1=2
6.) 4x-8=10
7.) 15x-2=3

Answers

1.) x=3
2.) x=4
3.) x=13
4.) x=4
5.) x=3/2
6.) 9/2
7.) 1/2

List the first six common multiples of 6 and 9

Answers

Answer:

The first few multiples of 6 and 9 are (6, 12, 18, 24, 30, . . . ) and (9, 18, 27, 36, . . . )

Solve the system by substitution: y = 4x - 6
y=5x

Answers

Answer:

y=4x-6

5x=4x-6 {putting y =5x}

5x-4x=-6

x=-6

Can someone help me find x? it 15 points. i hope its enough..
4/5x + 9/10= 5 1/5

Answers

Step-by-step explanation:

Exact Form:

x = 43/8

Decimal Form:

x = 5.375

Mixed Number Form:

x =5 3/8

What is the missing reason in the proof? Statement Reason 1. m || n and p is a transversal 1. given 2. ∠2 ≅ ∠3 2. ver. ∠s theorem 3. m∠2 = m∠3 3. def. of congruent 4. ∠3 ≅ ∠7 4. corr. ∠s theorem 5. m∠3 = m∠7 5. def. of congruent 6. m∠2 = m∠7 6. ? corresponding angles theorem alternate interior angles theorem transitive property subtraction property

Answers

Answer:

See below for answer.

Step-by-step explanation:

m ∠3 = m∠ 7       If ║ then cor. ∠s are =

m ∠2 = m∠7        Transitive     ∠2 = ∠3; ∠3 = ∠7; ∴∠2 = ∠7

The missing reason is : transitive property.

What is Transitive property?

A transitive relation is defined as a homogeneous relation R over the set A, where the set contains the elements such as x, y and z, such that R relates x to y and y to z, then R also relates x to z.

As in statement 3 we have,

∠2 = ∠3

and in statement 5 we also have

∠3 = ∠7

So, by using transitive property we can write,

If a = b and b = c,

then a = c

Hence, m∠2 = m∠7 using transitive property.

Learn more about transitive property here:

https://brainly.com/question/2437149

#SPJ2

Eugene's grandmother is teaching him how to make her salsa recipe. Each batch of salsa requires 1
4
of a cup of red onions. If they have 11
2
cups of red onions, how many batches of salsa can they make?

Answers

22 batches. 10/2 cups of red onions is 20 batches. 1/2 cups of red onions is 2 batches. 20 + 2 = 22.

PLEASE HELP I NEED IT FAST AND I WILL GIVE A BRAINLESS AND A THANKS AND ANYTHING ELSE

Answers

Answer: [tex]3\frac{1}{3}[/tex]

Step-by-step explanation:

- t / u + vw   (plug the number in)

= - 2 / (-2/3) + (-1)(-1/3)

= 2/ (2/3) + 1/3

= 2(3/2) + 1/3  (the 2 were being cancel)

= 3 + 1/3

= [tex]3\frac{1}{3}[/tex]

Answer:

A. 3 1/3

Step-by-step explanation:

Given:

t = 2, u = -2/3, v = - 1, w = - 1/3

Find:

- t/u + vw = - 2 / (-2/3) + (-1)(-1/3) = 3 + 1/3 = 3 1/3

Correct choice is A

Find the perimeter, in feet, of the rhombus.

32 feet
60 feet
34 feet
68 feet

Answers

The perimeter of the rhombus 60 feet

x-4-2= -11
it’s a negative 11 btw!!

Answers

Hello there!

x-4-2=-11

x-6=-11

x=-11+6

x=-5

Hope it helps

~Just a determined gal

#CarryOnLearning

[tex]MysteriousNature[/tex]

Answer:

x=-5

Step-by-step explanation:

x-4-2=-11

  x-6=-11

     x=-11+6

       =-5

please explain it to me that how I gonna answer this : integral of secx I know the answer but how?
It will be ln / secx + tanx / + c​

Answers

Answer:

ln|sec(x) + tan(x)| + c

Step-by-step explanation:

∫sec(x) dx

secx = 1/cos(x) = cos(x)/cos²(x) = cos(x)/(1-sin²(x))

let u = sinx

we get ∫secx = ∫du/(1-u²) = ln√(1+u)/(1-u)

as (1+u)/(1-u) = (1+sinx)/(1-sinx) = (sec²x + tan²x)

so ln √(1+u)/(1-u) = ln√(sec²x + tan²x) = ln|secx+tanx| +c

Remember y=mx +b Given the following graph what would the equation be?

Answers

Answer:

b. y=1/2x-2

Step-by-step explanation:

We can determine b by looking at the y intercept, which, in this case is (0,-2). Now we know that b is -2. To find the slope, we need to look a rise over run which is 1/2 here (1 up, 2 right). So, our final answer is y=1/2x-2

Bài 43 sgk trang 225 và làm thêm giùm mình phần d và phần e trong ảnh nhoa :>

Answers

Answer:

Are male and female children treated differently in your family? Have your parents had different experiences for their sons and daughters? Write a narrative essay recounting one or more incidents that illustrate these differences (or lack of differences) . If you and your siblings are all the same gender, or if you are on only child, write about another family you know well.​

Step-by-step explanation:

Are male and female children treated differently in your family? Have your parents had different experiences for their sons and daughters? Write a narrative essay recounting one or more incidents that illustrate these differences (or lack of differences) . If you and your siblings are all the same gender, or if you are on only child, write about another family you know well.​

What is the equation for the line in slope-intercept form?

Answers

y=-2x-4 is the answer:)

How are slope and derivatives related.

Answers

Answer: When you plug in an x-value into a function's derivative, the y-values you get back FROM THE DERIVATIVE tell you the slope of a tangent line to the original function at that value of x.

Step-by-step explanation:

plzz help me asap no link for 30 points

Answers

Answer:

Liam's work is correct

Step-by-step explanation:

25 is a percent so should always write in fraction form

25/100

then you find what number multiply by 25 gives 150

which is 6, so you do the same on the bottom

which is 600

or 150 ÷ 25/100 which also gives 600

so 600 is the number

After adding 17 to a number, x, you get 23.
The equation that represents the above statement is .
The value of x in the equation is .

Answers

Answer:

The equation that represents the above statement is 17+x = 23

The value of x in the equation is 6

Step-by-step explanation:

17+x = 23

x = 23 - 17

x = 6

Can someone please help me? Thank you!

Answers

Answer:

Step-by-step explanation:

1) [tex]5^{\frac{2}{3} }[/tex] is in exponential form.

Now, radical form is [tex]\sqrt[3]{5^{2} }[/tex]

2) [tex]5^{\frac{1}{2} }[/tex] is in exponential form.

Radical form is [tex]\sqrt{5}[/tex]

3) [tex]3^{\frac{2}{5} }[/tex] is in exponential form.

Radical form is [tex]\sqrt[5]{3^{2} }[/tex]

4) [tex]3^{\frac{5}{2} }[/tex] is in exponential form.

Radical form is [tex]\sqrt{3^{5} }[/tex]

If you need to ask any question, please let me know.

Help me with this please!!

Answers

Answer:

A=2/6 B=5/6

Step-by-step explanation:

I really hope this helps! (i love math!)

what is x^2+6^2=10^2

Answers

Answer:

Follow the order of operations and then solve from there

x^2 is simplifed to its max

6^2 is 36

10^2 is 100

x^2+36=100

Follow it normally

x^2=64

√64 = 8

x=8

**edited, sorry for the incorrect answer**

Answer:

[tex]x=8[/tex]

Step-by-step explanation:

First lets write our equation

[tex]x^2+6^2=10^2[/tex]

Solve

We will use PEMDAS, or also known as BOMDAS

[tex]x^2+36=100[/tex]

Subtract 36 from both sides

[tex]x^2=64[/tex]

Find the square root of 64

[tex]\sqrt{64} =8[/tex]

[tex]x=8[/tex]

Brainliest please :)

(8.1 + 7.4) – 25 ÷ 2.5

Answers

Solution:

[tex](8.1 + 7.4) - 25 \div 2.5 \\ = 15.5 - 25 \div 2.5 \\ = 15.5 - 10 \\ = 5.5[/tex]

Answer:

5.5

Hope it helps.

Do comment if you have any query.

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{(8.1 + 7.4) - 25 \div 2.5}}\\\large\boxed{= \mathsf{\bold{15.5} - 25\div2.5}}\\\large\boxed{\mathsf{= 15.5 - \bf 10}}\\\large\boxed{\mathsf{= \bf 5.5}}\\\\\huge\boxed{\text{Therefore, your answer is: \textsf{5.5}}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

A seafood restaurant daims an increase of $2,450 over its average profit during a weer where it introduced a special of baked class.​

Answers

Answer:

Step-by-step explanation:

COPY PASTE I WROTE THE ANSWER ON THERE!!! :)))

find the value of x in the triangle.

Answers

[tex] = > 3x + 15 + 4x + 12 = 180 \\ = > 7x + 27 = 180 \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \\ = > \: 7x = 180 - 27 = 153 \: \: \: \: \\ x = \frac{153}{7} = 21 \\ x = 21[/tex]

Whats the value of 6 in 1.267

Answers

Answer:

hundredths place

Step-by-step explanation:

Hundreds place, easy

Translate the phrase into an algebraic expression.
The product of 6 and c

Answers

Answer:

c x 6 = x

Product judy basically means multiplication.

100 points if u get this right ty bye now!

Answers

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

Hoped this helped

Answer:

4 mi²

Step-by-step explanation:

Area of Square: Length x Length

=> Area of Square: 2 x 2

=> Area of Square: 4 mi²

Therefore, the area of the square is 4 mi².

Solve the slope for the table.

Answers

Answer:

5

Step-by-step explanation:

Change in Y / Change in X = Slope

5/1 = 5

This recipe makes 8 pancakes.
Sanjay follows the recipe but wants to make 24 pancakes.
How much of each ingredient does he need?

Recipe: Makes 8
135 g flour
1 teaspoon (tsp) baking powder
2 tablespoons (tbsps) sugar
130 mL milk
1 egg
2 tablespoons (tbsps) oil

Answers

Answer:

If Sanjay wants to make 24 but the recipe makes 8, then do the recipe 3 times to get 24 (8 x 3 = 24)

135 x 3 = 405

1 x 3 = 3

2 x 3 = 6

130 x 3 = 390

1 x 3 = 3

2 x 3 = 6

So Sanjay would need the following to make 24 pancakes:

405g flour

3tsp baking powder

6tbsps sugar

390mL milk

3 eggs

6tbsps oil

Answer:

405 g flour

3 tsb baking soda

6 tbsps sugar

390 mL milk

3 eggs

6 tablespoons oil

How to find the distance between two points.

Answers

Answer:

you take your small number and multiply it by the big number

Step-by-step explanation:

Melissa can buy an 8 pound bag of dog food for $7.20. Which bag has an equivalent cost?

Answers

why is melissa buying 8 pounds worth of dog food holy shzt anyways the 4thhh

What is the quotient?
-3/8 divided by -1/4

Answers

Answer: D. 1 1/2.

Step-by-step explanation: -3/8÷-1/4                                                                 (-3/8)(-4/1)                                                                                                           -3/8/-4/1                                                                                                             Cancel out the terms of 8 and -4.                                                                       8/4                                                                                                                               (-3)(-1)/2                                                                                                                   3/2                                                                                                                             D. 1 1/2                                                                                                                                                                            

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