The first term of an arithmetic sequence is -2. The eighth term of the sequence is 26. What is the common difference of the arithmetic sequence?

Answers

Answer 1

Answer:

d = 4

Step-by-step explanation:

The n th term of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Given a₁ = - 2 and a₈ = 26 , then

- 2 + 7d = 26 ( add 2 to both sides (

7d = 28 ( divide both sides by 7 )

d = 4

Answer 2

Answer:

d = 4

Step-by-step explanation:

a₁ = -2

a₈ = aₙ = 26

n = 8

aₙ = a₁ + d(n-1)

d = aₙ - a₁ / (n-1)

d = 26 -(-2) / (8-1)

d = 26 + 2 / 7

d = 28 / 7

d = 4

-2

-2 + 4 = 2

2 + 4 = 6

6 + 4 = 10

10 + 4 = 14

14 + 4 = 18

18 + 4 = 22

22 + 4 = 26


Related Questions

Solve the simultaneous equations 4x+y=10 X-5y=13

Answers

Answer: 4x + y = 10 is -y+10/4                    X-5y=13 is x=5y+13

Step-by-step explanation:

The value of x and y in the equations given are -2 and 3 respectively.

What are equations?

An equation is a mathematical statement that shows that two mathematical expressions are equal.

Given are two equations, 4x+y = 10 and x-5y = 13, we need to solve the equations,

4x+y = 10.......(i)

x-5y = 13

x = 13+5y......(ii)

Substituting eq(ii) in eq(i)

4(13+5y)+y = 10

52+20y+y = 10

21y = 10-52

21y = -42

y = -2

Put y = -2 in equation (ii),

x = 13+5(-2)

x = 13-10

x = 3

Hence, The value of x and y in the equations given are -2 and 3 respectively

For more references on equations, click;

https://brainly.com/question/29657992

#SPJ3

Geometry: Which answer is correct?

Answers

Answer:

ANSWER D

Step-by-step explanation:

Trust me It’s D I did everything I could 2 times and got D you’ll thank me later!

A square with an area of 250sq.m is inscribed in a circle. Find the diameter of the circle

Answers

Answer:

22.36 m

Step-by-step explanation:

Diagonal of the square would be the diameter of the circle.

Area of square = 250 sq m

[tex]Side \: of \: square = \sqrt{250} \: m \\ diagonal \: of \: square \\ = \sqrt{ {( \sqrt{250)} }^{2} + {( \sqrt{250)} }^{2}} \\ = \sqrt{250 + 250 } \\ = \sqrt{500} \: m \\ = 22.3606798 \: m \\ = 22.36 \: m \\ \therefore \: diameter \: of \: circle = 22.36 \: m[/tex]

b. 11| – 6| + 15

Someone please help

Answers

Is it negative 6 or subtract 6 Because if it’s negative 6 you can’t do 11 6+15 that makes no sense

jordan has 3/8 pond of candy. he gave some to his brother and now he has 1/10 pound left.how much did he give to his brother

Answers

Given :

Amount of candy Jordan have , [tex]A=\dfrac{3}{8}\ pounds[/tex] .

Amount left after giving some to brother , [tex]a=\dfrac{1}{10}\ pounds[/tex] .

To Find :

How much did he give to his brother .

Solution :

Let , amount he gave to his brother is , b .

So ,

[tex]\text{Amount left = Total amount -Amount he give to his brother}\\\\a=A-b\\\\b=A-a\\\\b=\dfrac{3}{8}-\dfrac{1}{10}\\\\b=\dfrac{(3\times 10)-8}{80}\\\\b=\dfrac{22}{80}\\\\b=\dfrac{11}{40}[/tex]

So , amount he give to his brother is  [tex]\dfrac{11}{40}[/tex] .

Hence , this is the required solution .

Evaluate ab for a = 11 and b = 4.

Answers

━━━━━━━☆☆━━━━━━━

▹ Answer

ab = 44

▹ Step-by-Step Explanation

a = 11

b = 4

a * b

11 * 4 = 44

Hope this helps!

CloutAnswers ❁

━━━━━━━☆☆━━━━━━━

Answer:

44

Step-by-step explanation:

ab

Let a = 11 and b = 4

11*4

44

Antony borrows $6.50 from a friend to pay for a sandwich and a drink at lunch. Then he borrows $3.75 from his sister to pay a library. What is Antonys total debt that day?

Answers

Answer:

$10.25

Step-by-step explanation:

Please I need to know today?

Answers

Answer:

The three collinear poitns are D, A, and E.

Step-by-step explanation:

Collinear points are points that all reside on the same line. Since we are looking for 3 seperate points we need a line with 3 points. There are only 2 lines on the picture and only one has three lines getting you your answer.

Solve for x.

Reduce any fractions to lowest terms. Don't round your answer, and don't use mixed fractions.

4x + 4 < 9x + 8

Answers

Answer:

-5x is less than 4 or x is less than -0.8

Step-by-step explanation:

Select the property that allows the left member of the equation to be changed to the right member.8 + 0 = 8a. commutative - additiondistributiveb. associative - multiplicationsymmetricc. commutative - multiplicationd. associative - additionidentity - addition

Answers

Answer:

The answer is you a ho3

Step-by-step explanation:

3(x - 7) + 4 = 28 - 2x​

Answers

Answer:

3x-21+4=28-2x...... Multiply 3 with (x-7)

3x+2x=28+21-4......Take - 2x from right side to left side which makes it +2x and - 21+4 from left side to right side which makes it +21-4

5x=45.....Add and subtract as required

x=45/5....Taking 5 from left side to right side and dividing it

x=9.....Normal division

Answer:

[tex]\boxed{\bold{\huge{\boxed{\sf x = 9}}}}[/tex]

Step-by-step explanation:

[tex]\sf 3(x-7) + 4 = 28 - 2x \\\\Resolving\ Parenthesis\\\\3x - 21 + 4 = 28 - 2x \\\\3x -17 = 28 - 2x\\\\Combining \ like \ terms\\\\3x + 2x = 28+17\\\\5x = 45\\\\Dividing\ both \ sides\ by\ 5\\\\\boxed{\sf x = 9 }[/tex]

To Find the IQR in a Box Plot, you take Q1-Q3?

Answers

False to find IQR in a box plot you do Q3-Q1

Help wanted! What is the sum of 88x+12x?

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{100x}}}}}[/tex]

Step-by-step explanation:

[tex] \sf{88x + 12x}[/tex]

Collect like terms : Add 88 and 12

[tex] \dashrightarrow{ \sf{100x}}[/tex]

Hope I helped!

Best regards! :D

[tex]\framebox{\parbox[t][1.0cm]{4.50cm}{\addvspace{0.2cm} \centering $ \;\;100x \,}\;\; } $ } }\\[/tex]

Step-by-step explanation:

[tex]88x+12x[/tex]

To easily solve this, let's add 88 + 12.

[tex]88+12[/tex]

Now that we added, we got the answer to 88 + 12.

[tex]88+12=100[/tex]

Now to finish, we will add the x to 100.

[tex]100x[/tex]

Now we got our answer!

Hope this helps!

A restraurant owner estimates that his restaurant will sever 430 customers the first week it is open the actual number of customers the first week is 400 find the percent error

Answers

Answer:

7.5% error

Step-by-step explanation:

Percent Error = ( | measured - real | / real ) x 100%

|430 - 400| / 400 = |-30| / 400

( 30 / 400 ) x 100%

= 7.5%

2x + 2x + 2 = 4x + 2


PLEASE ANSWER ASAP! I'll send u 5 dollars ! but please hurry :(​

Answers

Answer:

All real numbers make this equation true (-∞,∞)

please help me with this

Answers

Answer:

117 = <4

Step-by-step explanation:

Angle 2 and angle 4 are vertical angles so they are equal

<2 = <4

117 = <4

5/6+2/9 thanksssssssssssss

Answers

Answer:

19/18

Step-by-step explanation:

use a calculator dawg lol

5/6 + 2/9 = 15/18 + 4/18 = 19/18 = 1 1/18
Hope this helps

Put the quadratic into vertex form and state the coordinates of the vertex. y=+ = 22 + 14x + 33​

Answers

I tried it and I really don’t know

Use the diagram to complete the proof by filling in the blanks. Picture is attached

Answers

Answer:

Step-by-step explanation:

From the question attached,

Given:

RT and PQ intersect at a point S.

RS = PS and ST = SQ

To prove :

RT = PQ

             Statements                               Reasons

1). RS = PS and ST = SQ                 1). Given

2). RS + ST = PS + SQ                    2). Addition property

3). RS + ST = RT ; PS + SQ = PQ   3). Pair of line segments

4). RT = PQ                                    4). Substitution property

.The height of a cylinder whose radius is 7 cm and the curve surface area is 968 cm2 is:

Answers

Answer:

22cm

Step-by-step explanation:

Curve surface area = height x circumference.

In order to find circumference =2(pi)r

2(pi)(7)=14 pi = 44 (pretty much, rounded)

968/44=22

The height is 22cm

Hope this helped!

5. Write the quotient of 7 less than a number and 6' as an expression. Use x as the variable.​

Answers

Answer:

[tex]\frac{x-7}{6}[/tex]

quotient means the problem will be a fraction

7 less than a number x-7

and 6 (6)

Answer:

i suck well you got the answer so there

Step-by-step explanation:

Simplify the expression

Answers

Answer:

9/4

Step-by-step explanation:

5×|-2-7(3)|-2×17

5×|-2-21|-34

5×|-23|-34

5×23-34

115-34=81

22+sq rt(7×28) 28=4×7 sq rt= 2×2×7×7

22+2×7=22+14=36

81÷9/36÷9=9/4

So the answer is a, now let me tell you why if you need proof

Starting from the top
So take the seven and multiply it to the 3 to get 21 and then subtract the negative two to the negative twenty one so you should have 5 | -23| -2*17 simply the |-23| so it says it’s absolute value which is 23 so you have 5*23 - 2*17, now just go ahead and multiply the 5 and the 23 to get 115 and the 2 to the 17 to get 34, now you should have 115-34, that’s obviously 81
Now for the bottom
22 + √7*28, now you just multiply the 7 to the 28 and you get 196 and the square root of that would be 14 so now you should have 81/22+14 so far, now just add the 22 and 14 to get 36 and simplify the fraction to get 9/4 and that’s A
(if you keep going, you get 2.25)

Last year a large trucking company delivered about 6 million loads of goods at an average value of $30,000 per load. What was the total value of goods delivered? Express your answer in scientific notation.​

Answers

Answer:

he value will be:  30000 · 8.0 · 105  =  (240000) · 105  =  (2.4 · 105) · 105

  =  $2.4 · 1010  Step-by-step explanation:

If you answer this question you will earn 98 points. What is 2 plus 2 plus 665 plus 567 plus 67577 minus 567 plus 567 times 2 divided by 2 times 2 divided by 2 times 4 plus 16

Answers

Answer:

2+2+665+567+67577-567+567×2÷2×2÷2×4+16.

=275,268.

Answer:

70530

Step-by-step explanation:

2+2+665+567+675+67577-567+567*2/2*2/2*4+16

which number is written in scientific notation?

Answers

Answer:

Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

Step-by-step explanation:

What is 2 3/5+ 1 4/5

Answers

Answer:

4 2/5

Step-by-step explanation:

935050 is divisible by which all numbers

Answers

Step-by-step explanation:

2, 5, 10

by 2 because it ends with a 0

by 5 because it ends with a 0

by 10 because it ends with a 0

solve this maths problem​

Answers

Answer:

hope you find it helpful

Help needed ASAP will give BRAINLIEST

Answers

Answer:

Hi, there the answer to your question is 248 if this helped send thanks. Have a  great day!

Step-by-step explanation:

Bri wants to buy as many flip flops as she can at the store. Each flip flop costs $4 and she has $50 with her. Write an inequality to show the maximum number of flip flops Bri can buy.

Answers

Answer:

she can buy 12½flip flops

Step-by-step explanation:

it's actually easy : just do 50÷4 but then u will get something like 12.5 so if you are confused , you can divide by the closest number to 50 and the number which is a multiple of 4

so,

48÷4 = 12 and with the remaining 2 $ she can buy a half flip flop more if she wants because 4/2

Therefore , the total number of flip flops she can buy = 12½ flip flops

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