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

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, . . . )

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:

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

Solve the slope for the table.

Answers

Answer:

5

Step-by-step explanation:

Change in Y / Change in X = Slope

5/1 = 5

Find the perimeter, in feet, of the rhombus.

32 feet
60 feet
34 feet
68 feet

Answers

The perimeter of the rhombus 60 feet

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

Answers

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

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.

(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]

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

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

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

Answers

Answer:

c x 6 = x

Product judy basically means multiplication.

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

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.

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]

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.​

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.

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

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

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!!! :)))

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:

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

Whats the value of 6 in 1.267

Answers

Answer:

hundredths place

Step-by-step explanation:

Hundreds place, easy

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

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

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

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 :)

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

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 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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