Calculate the next 3 terms and write the formula for the nth term for the following sequences. x, x+2, x+4,…

Answers

Answer 1

Answer:

Forth term = x + 6

Fifth term = x + 8

Sixth term = x + 10

Formular for nth term:

[tex]{ \tt{n _{th} = a + (n - 1)d}} \\ { \tt{{n _{th} = x + (n - 1) \times 2}}} \\ { \tt{{n _{th} =x + 2n - 2 }}}[/tex]

Answer 2

Answer:

Hello,

Step-by-step explanation:

First term of this aritmetical sequence is x+0*2

[tex]U_1=x+0*2\\U_2=x+2=x+1*2\\U_3=x+4=x+2*2\\U_4=x+6=x+3*2\\\\n^{th}\ term\ is\ U_n=x+(n-1)*2\\[/tex]


Related Questions

which of the following are exterior angles?

Answers

Answer:

∠6

Step-by-step explanation:

An exterior angle is supplementary to its adjacent interior angle of the triangle. So ∠6 is the exterior angle.

Need help please need it quick

Answers

Answer:

Choice A

Step-by-step explanation:

An arithmetic sequence is one which has an incremental change.

for our answer, our change is +5

option a is the correct answer

pls find the value of X ​

Answers

Answer: 64°

Step-by-step explanation:

Since QS = RS, ∠Q = ∠R = 32°∠QSR = 180° - 32° - 32° = 116°∠QSR = ∠NSP = 116°Since MN║PS, ∠NSP + ∠N = 180° ∠N = 180° - 116° = 64°

Answer:

x = 64°

Step-by-step explanation:

Since the triangle is isosceles, the base angles are congruent, that is

∠ R = ∠ Q = 32° , then

vertex angle = 180° - (32 + 32)° = 180° - 64° = 116°

∠ NSR = 116° ( vertically opposite angle )

∠ MNS and ∠ NSR are same- side interior angles and sum to 180° , then

x = 180° - 116° = 64°

Plz help me asap !!!

Answers

Answer:

all I know is sin square A +cos square A =1

The number of lines of symmetry of an equilateral triangle is _______.

Question 5 options:

A: 4


B: 1


C: 2


D: 3

Answers

Answer:

An equilateral triangle has three lines of symmetr

Step-by-step explanation:

letter d

Answer: 3

Step-by-step explanation: i took test

Given the graph of m(x), find m(-2).
A.-2
B.0
C.5
D.-10

Answers

It would be 5. -2 is the input of the function, do you just have to find the y point / output of the function at x=-2, which is 5.

How do you write 50% as a fraction?

Answers

Answer:

[tex]\frac{1}{2}[/tex]

Step-by-step explanation:

Answer:

50% as a fraction would be 1/2

Options:
Rotation
Reflection
Translation

Answers

Answer: Reflection

Step-by-step explanation: Please mark brainliest

Help on 11 pls I don’t get it plsssssssss

Answers

Answer: 33x=27 2x-1

33 x=3 3(2x-1)

as base are same so powers are equal

3x=3(2x-1)

3x=6x-3

3x-6x=-3

-3x=-3

x=1

What is 1/4 0.75 1/3 0.5 greatest to least

Answers

Answer:

1/4 = 1 ÷ 4 = 0.251/3 = 1 ÷ 3 ≈ 0.330.750.5

0.75 → 0.5 → 1/3(0.33) → 1/4(0.25)

hope this helps! feel free to clarify

if a=(p+q),b=(p-q)and c=qsquare -psquare, show that ab+c=0​

Answers

Answer:

I think this is the ans

Step-by-step explanation:

ab+c=0

(p+q)(p-q)=0

p Square-q Square =0

0=p Square-q Square

Point T Is the incenter of PQR.Point T is the point of concurrency of the angle bisector. Find ST.

Answers

ST is 10 because since T is the incenter is equidistant from all sides.

Help me to prove it

Answers

Answer:

see explanation

Step-by-step explanation:

Using the identities

cotA = [tex]\frac{1}{tanA}[/tex]

cot²A = cosec²A - 1

tan²A = sec²A - 1

Consider the left side

(cotA + tanA)² ← expand using FOIL

= cot²A + 2cotAtanA + tan²A

= cosec²A - 1 + 2 .[tex]\frac{1}{tanA}[/tex] . tanA + sec²A - 1

= cosec²A - 1 + 2 + sec²A - 1

= sec²A + cosec²A - 2 + 2

= sec²A + cosec²A

= right side, thus proven

What is the quotient when -45 is divided by -97

Answers

Answer:

0.463

Step-by-step explanation:

Answer:

quotient is 0.4639175258

Step-by-step explanation:

quotient is the result of dividing the two numbers

-45 / -97 = (-1)*45 / (-1)*97= , simplify -1/-1 because equals 1

45/97 = .4639175258 , using the calculator

45/97 =0 R 45, zero is the quotient and 45 is the remainder

Question 5.
Given that cos(O) = 4/5, find:
a) sin(0)
b) tan (0)

Answers

Step-by-step explanation:

here's the answer to your question

What is the value of k?

k=____

Answers

Answer:

2

Step-by-step explanation:

is the value of k

Answer:

2

Step-by-step explanation:

In the diagram below, AB is parallel to ¿o. What is the value of x?

Answers

A. 45
Since the lines are parallel the angels are congruent

According to the synthetic division below, which of the following statements are true?

Answers

Answer:

Step-by-step explanation:

That 3 sitting outside there in that little "box" thing is a root/solution/zero of the polynomial. The numbers underneath the line are the coefficients of the depressed polynomial, which means that the polynomial is 1 degree lower than the degree with which we started. If we started with an x-squared, this degree is a single x, better known as linear (a line). Anyway, (x - 3) is a zero of the polynomial, which also means that it's a factor. So A applies. x = 3 is a root, so C applies. And F also because the depressed polynomial, the remainder, is 2x + 4.

The width of a rectangle is twice as long as the length. if the length is increased by 50% and the width is decreased by 20%, the perimeter becomes 248. find the width and length of the original rectangle.

Answers

Answer:

Step-by-step explanation:

The percents here make this more tricky than it originally seems to be. We'll make a table and see where it takes us:

                          original                 new

length

width

And we'll fill it in according to our rules given. Starting with the original, we are told that the width is twice as long as the length. We don't know the length, so we'll call that L, and if the width is twice that, the width is 2L:

                           original                  new

length                       L

width                       2L

Now here's the tricky part. What I'm going to do is fill in the "new" column with the expressions and then we'll simplify them in the next step.

The length is increased by 50%. So we have 100% of the original length and we are adding another 50% to that:

                            original                        new

length                      L                       100%L + 50%L

width                       2L

The width is decreased by 20%, so we have 100% of 2L and we are subtracting 20% of 2L from that:

                             original                       new

length                        L                     100%L + 50%L

width                        2L                  100%(2L) - 20%(2L)

And now we'll simplify that "new" column:

                              original                         new

length                        L                         150%L = 1.5L

width                         2L               80%(2L) = 160%L = 1.6L

Now we're ready for the perimeter part. The formula for the perimeter of a rectangle is P = 2L + 2w, so filling in from our "new" column, since 248 is the perimeter given for AFTER the rectangle's length and width are manipulated:

248 = 2(1.5L) + 2(1.6L) and

248 = 3L + 3.2L and

248 = 6.2L so

L = 40 and that means that w = 80 (because in the "original" column, the width is twice the length)


Which of the following lines is parallel to the line
y = 1/2x -6
Select one:
a) y=-1/2x-6
b) y=2x+1
c) y=-1/2x+5
d) y=1/2x-3

Answers

Answer:

y = 1/2x - 3 (option - d)

Step-by-step explanation:

The lines are parallel if they have the same slope/gradient. So by comparing with y = mx + c (where 'm' is the slope and 'c' is the y-intercept).

Line y = 1/2 x - 6 has the slope m = 1/2

and the line in option 'd'

y = 1/2 x -3 has the slope m = 1/2

Slopes are equal and lines are parallel.

Thank-you.

#Muhib

Find the value of the expression 4a4 − 2b2 + 40 when a = 2 and b = 7

Answers

Answer:

74

Step-by-step explanation:

4(2) raise to power 4 - 2(7) raise to power 2 +40

4(16) - 2(49) +40

64-98+40

64- 138

74

PLSS HELP!! VERY EASY.

Alex wants to invite 5 of his 9 friends to his birthday party. Two of his friends are twins and they agree to come only if they are invited together, hence Alex will either invite both or neither of them. In how many ways can Alex invite five of his friends?

Answers

Answer:

35 ways

Step-by-step explanation:

Alex has 9 friends and wants to invite 5 friends. Since Alex requires two of his friends who are twins to come together to his birthday party, since the two of them form a group, the number of ways we can select the two of them to form a group of two is ²C₂ = 1 way.

Since we have removed two out of the nine friends, we are left with 7 friends. Also, two friends are already selected, so we are left with space for 3 friends. So, the number of ways we can select a group of 3 friends out of 7 is ⁷C₃ = 7 × 6 × 5/3! = 35 ways.

So, the total number ways we can select 5 friend out of 9 to  party come to the birthday include two friends is  ²C₂ × ⁷C₃ = 1 × 35 = 35 ways

Two boys together have $12. One of them has $10 more than the other. How much money does each of them have

Answers

One has $1 and the other has $11

i need help witht he second part ITS URGENT PLS

Answers

Answer:

7

Step-by-step explanation:

when multiplying powers with the same base, add the powers

Answer:

a²×a⁵

a²⁺⁵

a⁷

OAmalOHopeO

Help please…..?!!!!!☺️

Answers

Answer:

Step-by-step explanation:

Sample space of die 1 = {1,2,2,3,3,4}

Sample space of die 2 = {1,3,4,5,6,8}.

The highest value that we get by rolling die 1 is 4 and die 2 is 8, which give the sum 12. So, we cannot have any other combinations other than this , as the highest value itself gives 12.

Rolling a sum of 12 with the dice = {(4,8) }

Probability = 1/36

What is the range of f(x) = x - 2, if the domain is {3, 1, 2)?​

Answers

Answer:

Range: {1, -1, 0}

Step-by-step explanation:

Just subtract 2 from each number :)

Select the true statement about triangle ABC.

A. cos A = cos C
B. cos A = sin C
C. cos A = sin B
D. cos A = tan C

Answers

Answer:

B

Step-by-step explanation:

cosA = [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{12}{13}[/tex]

cosC = [tex]\frac{BC}{AC}[/tex] = [tex]\frac{5}{13}[/tex]

sinC = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{AB}{AC}[/tex] = [tex]\frac{12}{13}[/tex]

tanC = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{AB}{BC}[/tex] = [tex]\frac{12}{5}[/tex]

Then

cosA = sinC → B

PLEASE HELP ASAP
Please

Answers

Answer:

1. 10

2. 12.3

3. 34.5

and this will be the correct answer.

What is the value of the first term in the following arithmetic sequence?

-9, -2, 5, 12, ...

-9
7
9
-7

Answers

Answer:

-9

Step-by-step explanation:

-9, -2, 5, 12,.........

The first term is the first number in the sequence

-9

[tex]\sf{   }[/tex] 

The first first term in the following arithmetic sequence

-9, -2, 5, 12, .. is -9

3. A rectangle has a length of 2x – 9 and a width of x2 + 3x – 4. What is the polynomial that models the area
of the rectangle?

Answers

Answer:

(C) 2x^3 - 3x^2 - 35x + 36

Step-by-step explanation:

First multiply 2x by x^2 + 3x - 4:

(2x)(x^2 + 3x - 4)

2x^3 + 6x^2 - 8x

Next multiply -9 by x^2 + 3x - 4:

(-9)(x^2 + 3x - 4)

-9x^2 - 27x +36

Now add the two polynomials by adding like terms:

(2x^3 + 6x^2 - 8x) + (-9x^2 - 27x +36)

2x^3 + 6x^2 - 9x^2 - 8x - 27x + 36

2x^3 - 3x^2 - 35x + 36

Hope this helps (●'◡'●)

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