nth term of an AP is given by an expression 7n-2,find the common difference of this sequence if fisrt term of sequence is 1? a.2 b.-2 c-7 d7​

Answers

Answer 1

Step-by-step explanation:

there is something wrong with what your write here as problem description.

either there is something missing in the main expression, or in the answer options.

given your nth-term expression 7n-2, none of the 4 answer options can fit.

so, I thought, maybe there was a typo.

the possible interpretations of the expression could be

7n - 2

7(n-2)

[tex] {7}^{n} - 2[/tex]

[tex] {7}^{n - 2} [/tex]

we know that

a1 = 1

a2 = either

a1 + 2 = 3

a1 - 2 = -1

a1 + 7 = 8

a1 - 7 = -6

so, we can eliminate both negative answer options, because they would cause only negative sequence elements, but the main expression (neither of the 4 possibilities) does not allow that.

but also none of the 4 possibilities of the expression delivers any of the 4 values for a2 as described above.

7×2 - 2 = 14 - 2 = 12

7(2-2) = 7×0 = 0

7² - 2 = 49 - 2 = 47

[tex] {7}^{2 - 2} = {7}^{0} = 1[/tex]

similar not for a3.

so, if I consider your answer options right, we have 4 possible arithmetic sequences:

1. 1, 3, 5, 7, 9, 11, 13, 15, ...

2. 1, -1, -3, -5, -7, -9, -11, -13, ...

3. 1, 8, 15, 22, 29, 36, 43, 50, ...

4. 1, -6, -13, -20, -27, -34, -41, ...

the nth term expression is for

a. an = 2n - 1

b. an = 2×(-n) + 3 = 2×(-n + 1) + 1

c. an = 7n - 6

d. an = 7×(-n) + 8 = 7×(-n + 1) + 1

so, please pick the right expression from this list, and then use the answer option with the same letter.


Related Questions

identify the equation of the line graphed below

Answers

Its option (C)................

Lisa plans to watch 3 movies each month. Write an equation to represent the total number of movies n that she will watch in m months.

Answers

Answer:

someone help call the police candice just got shot

Step-by-step explanation:

ahahahahahahahhahaa

Answer:

3m

Step-by-step explanation:

1 month =3 movies

m month =3*m movies

What is the answer to 3/4 x 1/2

Answers

What is the answer to 3/4 x 1/2?

Answer : 0.375

Answer:

3/8

Step-by-step explanation:

What is the area of this figure

Answers

Answer:

178m squared

Step-by-step explanation:

make 3 rectangular shapes

shape 1 ) 18×5=90

shape 2) 13×6= 78

shape 3) 5×2=10

Add up all the answers and that's the ans

90+78+10=178

The area is 178m squared

Jorge needs to reflect a figure across the line y = negative 4. Which statements are correct regarding steps he could take to complete the reflection? Check all that apply.
Jorge should graph in the vertical line with values of –4 for the line of reflection.
Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.
Jorge could count how far each vertex of the figure is from the y-axis and count the same distance on the other side.
Jorge will not move any point that lies on the line of reflection.
Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.
Jorge could check his work by making sure that the image has the same orientation as the original.

Answers

Answer:

B: Jorge could count how far each pre-image point is from the line of reflection along the perpendicular from the point to the line of reflection.

D: Jorge will not move any point that lies on the line of reflection.

E: Jorge could check his work by seeing if each segment joining a pre-image point with its image has the midpoint on the line of reflection.

Step-by

i just took the test lol

Answer:

BDE are the answeres

Step-by-step explanation:

took the quiz

5. Nicholas bought a map of a city. It uses a scale of 1 inch to 8 miles.
Nicholas's house and school are 1/2 inches apart on the map. How far apart
would his house and school be on the map if the scale was 1 inch to 6 miles?
What’s the answer to this?

Answers

Scale is 1 inch to 6 mile.

So, ½ inch = 6 mile/2 = 3 mile

Amy,bob and hadi saved $1012 altogether. Amy saved $85. Hadi saved 3 times as much as the total amount of Amy's and Bob's savings. How much did Bob save?

Answers

Answer:

Bob Saves 168$.  

Step-by-step explanation:

According to the Question,

Given That,   Amy , bob and hadi saved $1012 altogether.

Thus, A + B + H = 1012 ⇒ Amy saved $85.

So, B + H = 927 ----- Equation 1

And Hadi saved 3 times as much as the total amount of Amy's and Bob's savings So, H = 3(A + B) ⇒ We Know Amy saved $85.

So, H - 3B = 255  ----- Equation 2

Now, Subtract Equation 2 from Equation 1, We get

4B = 672 ⇒ B = 168

Bob Saves 168$.

Someone help me please !!!!!

Answers

Answer:

a=15 and x=7

Step-by-step explanation:

first we need to plug in the number to the variable than we try to get a and x by themselves.

Can someone help and explain this to me,if you do it means a lot :)

Answers

Answer:

0 zero

Step-by-step explanation:

you must find gf(x) first

g[ f(x) ] = g [ 2 + 1 ]

= 3-2+x which is you sub fx tu g

g [ f (-1) ] = 3-2-1

=0

Find the x of a triangle.

Answers

Answer:

x = 17

Step-by-step explanation:

29 + 29 + 11x - 65 = 180
58 + 11x - 65 = 180
58 + 11x + 65 = 245
58 + 11x = 245
-58 + 11x = -58
11x = 187
x = 17

What is the 9th term in the geometric sequence?

Answers

Answer:

B

-1536

Step-by-step explanation:

Just replace n with 9

-6(2)^(9-1)

-6(2)^8

-6(256)

-1536

The following are the last 10 run scores Colin got in cricket:
28, 13, 4, 12, 32, 22, 13, 22, 26, 32
a) Work out Colin's mean score.
b) Colin plays cricket again on Sunday. He gets 16 runs.
What is his new mean score?
Give your answers as decimals.

Answers

Answers:

a) Mean = 20.4b) New mean = 20

==================================================

Explanation:

To get the mean, we add up the scores and divide by 10 (because there are 10 scores at first)

28+13+4+12+32+22+13+22+26+32 = 204

204/10 = 20.4

The mean is 20.4

------------

For part b), we redo those steps shown above, but tack 16 onto the list. So we'll add up all the values (including that 16 at the end) and divide by 11 this time.

28+13+4+12+32+22+13+22+26+32+16 = 220

220/11 = 20

The new mean is 20.

The new mean is slightly smaller than the old mean. Notice how 16 is smaller than 20.4, so this new score pulls down the mean just a little bit.

If f(x) = [tex]\frac{1}{9}[/tex] x-2, what is [tex]F^{-1}[/tex](x)

Answers

Answer:

Solution given:

f(x) = [tex]\frac{1}{9}[/tex] x-2

let f(x)=y

y = [tex]\frac{1}{9}[/tex] x-2

interchanging role of x and y

x= [tex]\frac{1}{9}[/tex] y-2

x+2= [tex]\frac{1}{9}[/tex] y

y=9(x+2)

y=9x+18

So

F-¹(x)=9x+18

and

F-¹(-1)=9*-1+18=-9+18=9

Hey Guys! Can You Please Help Me In My Math​

Answers

This would be a great tree diagram
Sorry...

pic is not clear.....

if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is .....a.2 b.-2 c 1/2 d.none ​

Answers

Answer:

k=2

Problem:

if the equation x^2 +(k+2)x+2k=0 has equal roots,then the value of k is ..

Step-by-step explanation:

Since the coefficient of x^2 is 1, we can use this identity to aid us: x^2+bx+(b/2)^2=(x+b/2)^2.

So we want the following:

[(k+2)/2]^2=2k

Apply the power on the left:

(k+2)^2/4=2k

Multiply both sides by 4:

(k+2)^2=8k

Expand left side:

k^2+4k+4=8k *I used identity (x+c)^2=x^2+2xc+c^2

Subtract 8k on both sides:

k^2-4k+4=0

Factor using the identity mentioned a couple lines above:

(k-2)^2=0

Since zero squared is zero, we want k-2=0.

Adding both sides by 2 gives k=2.

if the lines shown below are perpendicular if the green line has a slope of -1/4 what is the slipped of the red line

Answers

Answer:

C; 4

Step-by-step explanation:

Mathematically, when two lines are perpendicular, the product of their slopes equal -1

in that case, we have it that;

m1 * m2 = -1

where m1 is the slope of the first line and m2 is the slope of the second line

Hence,

m2* -1/4 = -1

-m2/4 = -1

-m2 = -4

m2 = 4

use r = 27 and x = 3
- r 9 _ + 5x

Answers

Answer:

-228

Step-by-step explanation:

given the equation of a trend line can you find the exact amount of sales given exact advertising cost

Please help me....Which inequality is true?

Answers

Answer:

opo

Step-by-step explanation:

kung Hindi kayo sure sa sagot ko sorry po

a square pyramid A is similar to pyramid the volume of pyramid are 1224 cubic.meters and 73 cubic meters the height of pyramid A is 18 meters. what are the possible lengths of one side if pyramid B's base? plz help

Answers

Answer:

i dont  know tryna get points

Step-by-step explanation:

Two cylinders are similar. The surface
area of one is 64 cm2, and the surface
area of the other is 81 cm2. Find the
scale factor between them.
Enter the smaller number first.
scale factor =
[?]:[]

Answers

8:9 because you tak the square root of both

Which inequality defines the problem below?
Hosting a dinner party for 38 people, you plan to serve peach pie for dessert.
Each pie has 8 slices. How many pies must you buy to ensure each guest
gets 1 slice?
A. 38p> 8
B. 8p = 38
C. 8p 238
D. 38 > 8p
E. 8p< 38
SUBMIT

Answers

the answer is B because a pie has 8 pieces therefore you look for p in the equation and find the amount of pies needed for the amount of people your serving

Answer: the answer is 8p>38

Step-by-step explanation:

just took test

Jerry needs 216 posts to build a fence. He has 88 posts and needs P more. Write an equation that you could use to find the number of posts jerry still needs.

Answers

Answer:

P = 128 Post

Step-by-step explanation:

Total post needed = 216 posts

Number of post Jerry has = 88 posts

Number of posts jerry still needs = P

Total = Number of post Jerry has + Number of posts jerry still needs

216 = 88 + P

216 - 88 = P

128 = P

P = 128 Post

(x+4y)^(6)
Can Someone please me how to do this PLEASE!

Answers

The answer is x+4y=-6

If a= 5-2 root 6 then find the value of root a - 1/root a

Answers

Answer:

2\sqrt2

Step-by-step explanation:

a=5-2√6 ...(1)

[tex]\frac{1}{a}=\frac{1}{5-2 \sqrt{6} } \times\frac{5+2\sqrt{6} }{5+2\sqrt{6} } =\frac{5+2\sqrt{6}}{(5-2\sqrt{6})(5+2\sqrt{6})} =\frac{5+2\sqrt{6}}{5 ^2-(2\sqrt{6})^2} =\frac{5+2\sqrt{6}}{25-24} =5+2\sqrt{6}\\a+\frac{1}{a}=5-2\sqrt{6}+5+2\sqrt{6}=10[/tex]

[tex](\sqrt{a}-\frac{1}{\sqrt{a}})^2=(\sqrt{a})^2+(\frac{1}{\sqrt{a}})^2-2 \times \sqrt{a} \times \frac{1}{\sqrt{a}}=a+\frac{1}{a}-2=10-2=8\\\sqrt{a}-\frac{1}{\sqrt{a}}=\sqrt{8}=2\sqrt{2}[/tex]

graph y=-1/3x+5 pleaseeee

Answers

The answer is -1/7



Explanation:

Find the TWO integers whos product is -12 and whose sum is 1

Answers

Answer:

The two INTEGERS are :-

-3 and +4

-3 * (+4) gives us -12

-3 + (+4) gives us 1

hope it helps

have a nice day

Answer:

[tex] \rm Numbers = 4 \ and \ -3.[/tex]

Step-by-step explanation:

Given :-

The sum of two numbers is 1 .

The product of the nos . is 12 .

And we need to find out the numbers. So let us take ,

First number be x

Second number be 1-x .

According to first condition :-

[tex]\rm\implies 1st \ number * 2nd \ number= -12\\\\\rm\implies x(1-x)=-12\\\\\rm\implies x - x^2=-12\\\\\rm\implies x^2-x-12=0\\\\\rm\implies x^2-4x+3x-12=0\\\\\rm\implies x(x-4)+3(x-4)=0\\\\\rm\implies (x-4)(x+3)=0\\\\\rm\implies\boxed{\red{\rm x = 4 , -3 }}[/tex]

Hence the numbers are 4 and -3.

At the beginning of year 1, Matilda invests $450 at an annual simple interest rate of 5%. She makes no deposits to or withdrawals from the account. Which explicit formula can be used to find the account's balance at the beginning of year 15? What is the balance?

Answers

Answer:

$765

Step-by-step explanation:

[tex]interest \: = \frac{prt}{100} \\ = \frac{(450)(5)(14)}{100} \\ = 315 \\ total \: money \: = 315 + 450 \\ = 765[/tex]

A(n) = 450 + (n – 1)(0.05 • 450); $765.00

Which equation has no solution?

Answers

Answer:

Step-by-step explanation:

Jazmine they are asking about the absolute value signs,   see how that first one has a negative 6 for the solution?  well the absolute value of the other side of that equal sign will never be a negative 6  ,  see now?  so that first answer has no solution  :)

Solve 2(1 – x) > 2x.
x < 2
x > 0.5
x < 0.5
x > 2

Answers

Answer:

x < 0.5

Step-by-step explanation:

Given

2(1 - x) > 2x ( divide both sides by 2 )

1 - x > x ( add x to both sides )

1 > 2x ( divide both sides by 2 )

[tex]\frac{1}{2}[/tex] > x , that is

x < [tex]\frac{1}{2}[/tex] OR x < 0.5

question is in the pucture

Answers

Answer:

Aiden earned less money for his 8th than he earned for his 4th drive.

[tex]ANSWER:C[/tex]

-------------------------------

HOPE IT HELPS

HAVE A GREAT DAY!!

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