Write down in terms of n, an expression for the nth term of the following sequences: a) 1 8 15 22 29 B) 12 16 20 24 28

Answers

Answer 1

A)

Sequence: 1 , 8 , 15 , 22 , 29

Difference : 7

Back one : -6

Expression : 7n-6

B)

Sequence: 12 , 16 , 20 , 24 , 28

Difference : 4

Back one : 8

Expression : 4n+8

Answer 2

A sequence is an ordered list of elements with a specific pattern.

The nth term of the sequence:

A) 1  8  15  22  29 is [tex](n-1)^{th}[/tex] + 7.

B) 12  16  20  24  28 is [tex](n-1)^{th}[/tex] + 4.

What is a sequence?

A sequence is an ordered list of elements with a specific pattern.

Example: 2, 5, 8, 11, ... is a sequence where each term is obtained by adding 3 to its previous term.

We have,

a) 1  8  15  22  29

1 + 7 = 8

8 + 7 = 15

15 + 7 = 22

22 + 7 = 29

We see that each term is obtained by adding 7 to the previous term

So, the nth will be in the form:

nth = [tex](n-1)^{th}[/tex] + 7

b) 12  16  20  24  28

12 + 4 = 16

16 + 4 = 20

20 + 4 = 24

2 + 4 = 28

We see that each term is obtained by adding 4 to the previous term.

So, the nth term will be in the form:

nth = [tex](n-1)^{th}[/tex] + 4

Thus the nth term of the sequence:

1  8  15  22  29 is [tex](n-1)^{th}[/tex] + 7.

12  16  20  24  28 is [tex](n-1)^{th}[/tex] + 4.

Learn more about sequences here:

https://brainly.com/question/19819125

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Related Questions

Is 11 a solution to 3(x+6)=4x ?

Answers

Answer:

The number 11 is not a solution for the given equation.

Step-by-step explanation:

We are given an equation with one variable. We can use simplifying processes to solve the equation.

[tex]3(x+6)=4x \ \ \text{Distribute the 3 through.}\\3x + 18 = 4x\ \ \ \text{Flip the equation.}\\4x = 3x + 18 \ \ \ \text{Subtract 3x from both sides.}\\\small\boxed{\bold{x = 18}}[/tex]

We can also substitute 11 for x and solve to see if the left side and right side of the equation equals itself.

[tex]3(11 + 6) = 4(11)\\33 + 18 = 44\\\small\boxed{\bold{51 \neq 44}}[/tex]

Therefore, 11 is not a solution for the given equation.

Answer:

First of all,We need to find the value of x to find that 11 is the solution to 3(x+6)=4x or not.

[tex] \displaystyle \rm \longmapsto \:3(x + 6) = 4x[/tex]

[tex] \displaystyle \rm \longmapsto \:3x + 18 = 4x[/tex]

[tex] \displaystyle \rm \longmapsto \:4x = 3x + 18[/tex]

[tex] \displaystyle \rm \longmapsto \:4x - 3x = 18[/tex]

[tex] \displaystyle \rm \longmapsto \:x = 18[/tex]

Let's put x as 11:

[tex] \displaystyle \rm \longmapsto \:3(11 + 6) = 4(11)[/tex]

[tex] \displaystyle \rm \longmapsto \:33 + 18 = 44[/tex]

[tex] \displaystyle \rm \longmapsto \:51 = 44[/tex]

51 doesn't equal to 44.So,11 is not the correct solution to 3(x+6)=4x.

what are the answers plz help im failing this class badly plz help plzzzz comeon

Answers

ok so f(x) and g(x) are the same thing as y. this means that you can solve these equations the same as any other multi-step equation. the only difference is if they have a number other than x in the parentheses. if they have a number you will just replace the x’s in the equation with the number in the parentheses.

example:

regular equation equation with f(4)
f(x)=2x+1 f(4)=2(4)+1

make sure to use pemdas :)

what is the slope intercept form? pls​

Answers

Answer:

y = -x - 4

Step-by-step explanation:

y = mx + b

Slope (m) = -1 (left 1, up 1)

Y-intercept (b) = -4

Solve the equation for x. 3x - 5x+ 5 = 20​

Answers

Hey there!

3x - 5x + 5 = 20

• First COMBINE your LIKE TERMS

(3x - 5x) + (5) = 20

3x - 5x = -2x

• NEW EQUATION:

-2x + 5 = 20

• SUBTRACT by 5 on BOTH SIDES

Like: -2x + 5 - 5 = 20 - 5

Cancel out: 5 - 5 because that gives you a 0

Keep; 20 - 5 because it helps us solve for your x

**20 - 5 = 15**

• NEW EQUATION:

-2x = 15

• DIVIDE by -2 on BOTH SIDES

2x/-2 = 15/-2

Cancel out: -2x/-2 because that gives you 1

Keep: 15/-2 because it helps us solve for x (it also gives the value of “x”)

**AFTER SOLVING ABOVE WE FOUND OUR ANSWER**

Answer: x = -15/2 ✅

Good luck on your assignment and enjoy your day!

~LoveYourselfFirst:)

Given f(x) = 5x – 3, find f(-3) )

Answers

Answer:

-18

Step-by-step explanation:

-3*5=-15

-15-3=-18

Answer: -18

Step-by-step explanation:

Substitute x for -3

5(-3)-3

-15-3

-18

Number 35, I need that answered DUE IN 1 HOUR PLZ ANSWER ASAP

Answers

Answer:

18.5

Step-by-step explanation:

It says

IJ is the midsegment of the triangle. So it divides both adjacent sides in half/at modpoint.

so HF is 10 cm .. half of that is 5 cm

GH is 13 cm.. Half of that is 6.5 cm

now we have IJ = 7 cm given

add all those.. you get 18.5 cm

Answer:

18.5

Step-by-step explanation:

35.

Segment IJ is a midsegment of triangle FGH, so

2HI = 2FI = FH

2HJ = 2JG = GH

FG = 2IJ

Perimeter of triangle IJH = IJ + JH + HI

IJ + JH + HI = 7 + 6.5 + 5 = 18.5

need help with 3,4 and 6

Answers

Answer:

The graphs are attached.

SOMEONE ANWSER QUIKLY PLEASE !!!!!


The second of two numbers is one more than twice the first. The sum of the numbers is
40. What are the numbers?

Answers

Answer:

13 + 1/3 and 26+2/3

Step-by-step explanation:

so one is twices a large as the first. so 40/3 = 13 + 1/3 so thats one of your awnsers the larger one is 2 times larger so13 +1/3 * 2 is 26+2/3 hope this helps! :D

Answer:

First Number is 13

Second Number is 27

Step-by-step explanation:

let x = first number

let 2x + 1 = second number

x + (2x + 1) = 40

3x + 1 = 40

    - 1      -1

3x = 39

/3      /3

x = 13

13 x 2 = 26 + 1 = 27

please help me this is due midnight ​

Answers

Answer:

Wait does it mean the actual real life distance or the distance on paper?

Step-by-step explanation:

If its real like just google it lol.

20 Fuji apples cost $12. How many Fuji apples can you buy for $3?

Answers

Answer:

5 apples

Step-by-step explanation:

First, we must find the cost of one apple

12/20 = the cost of one apple

= $0.60

Then, we divide 3 by the price of one apple

3/0.6 = amount of apple we can buy

= 5

Write the reciprocal of 3/2

Answers

2/3 is the correct answer:)

1) (19-16), (-7,-15)​

Answers

Answer:

your answer is -285,112

Step-by-step explanation: first you do this

[tex]\frac{y1}{y2} \frac{x1}{x2} \\[/tex]

the numders should go like this

[tex]\frac{-15}{-16} \frac{-7}{19}[/tex]

then you cross multiply

[tex]-15*(19)\\-7*(-16)[/tex]

the answers to the multiplication

[tex]-15*(19)= -285\\-7*(-16)=112[/tex]

the answer is

-285,112

Find the domain of the rational function.
f(x)= x+9/ x^2+ 16 ?

Answers

See attachment for answer:

HELP PLS MATH sucks

Answers

Answer:

∠1 = 130

∠3 = 130

∠2 = 50

Step-by-step explanation:

180 - 50 = 130

∠1 = ∠3 = 130 degrees

∠2 = 50 degrees

Layla has a coin that has a 60%, percent chance of showing heads each time it is flipped. She is going to flip the coin 5 times. Let X represent the number of heads she gets. What is the probability that she gets more than 3 heads?

Answers

Answer:

0.33696

Step-by-step explanation:

Given that:

Probability of showing up head (p) = 0.6

Number of flips = number of trials = 5

Probability of getting more than 3 heads

P(x = x) = nCx * p^x * (1 - p)^(n-x)

P(x> 3) = p(4) + p(5)

P(x = 4) = 5C4 * 0.6^4 * 0.4^1 = 0.2592

P(x = 5) = 5C5 * 0.6^5 * 0.4^0 = 0.07776

Hence,

0.2592 + 0.07776

= 0.33696

Following are the calculation to the probability:  

The probability to see the head [tex](p)= 60\%= 0.60[/tex]

Amount of flips = amount of tries = 5

Chances of getting and over three heads:

            [tex]\to P(x = x) = ^n C_x \times p^x \times (1 - p)^{(n-x)}\\\\\to P(x> 3) = p(4) + p(5)\\\\\to P(x = 4) = ^5 C_4 \times 0.6^4 \times 0.4^1 = 0.2592\\\\\to P(x = 5) = ^5 C_5 \times 0.6^5 \times 0.4^0 = 0.07776\\[/tex]

Hence,

                       [tex]\to 0.2592 + 0.07776= 0.33696 \approx 0.34\\\\[/tex]

Therefore, the final answer is "0.34"

Learn more about the probability:

brainly.com/question/20559010

2. Doug can row 3 1/2 miles in 1/4 hour. What
is his average speed in miles per hour?
SHOW WORK!

Answers

Answer:

14 miles

Step-by-step explanation:

He can row 3.5 miles in .25 hours.

If there are 60 mins in an hour. Take the .25 hour and times by 4 to get a whole hour.

Since 3.5 miles is for .25 hr, take the 3.5 times by 4 to get what he rows in a whole hour.

3.5*4= 14 miles.

In the grid below, points and B have been rotated 90° counterclockwise around the origin.​

Answers

Answer: its the first one baby girl

Step-by-step explanation:

if im wrong you can blame me

Solve using substitution.
2x - 2y = 2
5x + y =14
help

Answers

Answer:

X= 1.5 Y= 2.5

Step-by-step explanation:

Identify the function shown in this graph.
-5 -4 -3 -2 -1
2 3 4 5
O A. y = -5x - 3
B. y = 5x - 3
O C. y = -3x + 3
D. Y = -5x + 3

Answers

Answer:

[tex]y = -5x - 3[/tex]

Step-by-step explanation:

The data in the question are not properly presented.

See attachment for graph

To determine the graph, first we need to calculate the slope (m)

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where x and y are corresponding values:

When x = -1; y = 2;

This implies [tex](x_1,y_1) = (-1,2)[/tex]

When x = 0; y = -3

This implies [tex](x_2,y_2) = (0,-3)[/tex]

So:

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

[tex]m = \frac{-3 - 2}{0 - (-1)}[/tex]

[tex]m = \frac{-3 - 2}{0 +1}[/tex]

[tex]m = \frac{-5}{1}[/tex]

[tex]m = -5[/tex]

The equation is then calculated using:

[tex]y - y_1 = m(x-x_1)[/tex]

Where:

[tex]m = -5[/tex]

[tex](x_1,y_1) = (-1,2)[/tex]

[tex]y - 2 = -5(x -(-1))[/tex]

[tex]y - 2 = -5(x +1)[/tex]

[tex]y - 2 = -5x -5[/tex]

Make y the subject

[tex]y = -5x - 5 +2[/tex]

[tex]y = -5x - 3[/tex]

Please note that the graph I attached may/may not be the right graph to your question.

However, if you follow the steps I used in answering this question, you'll get the right answer to your question.

4.2z + 3.8z simplify the expression ​(Use the operation symbols in the math palette as needed. Simplify your answer. Use whole numbers or decimals for any numbers in the​ expression.)

Answers

A picture pls I need it

Please Solve and Explain. Thanks
4⁴¯³

Answers

Answer:

4

Step-by-step explanation:

4⁴¯³

=4^1

=4

So the answer is 4

Answer:

4^1

Step-by-step explanation:

since the base is 4 and the exponents are 4-3, 4-3 is 1 so therefore you're answer is 4^1

Pacos tacos sells three tacos for $1.32 Taco Bell sell five tacos for $4.20 which is a better deal

Answers

Answer:

$0.44

Step-by-step explanation:

We find the unit rate for each taco

$1.32/3 for Pacos tacos

$4.20/5 for Taco Bell

We will then get

$0.44 per taco for Pacos tacos

$0.84 per taco for Taco Bell

$0.44 < $0.84

Pacos tacos is the better deal

Answer:

Pacos tacos

Step-by-step explanation:

Which statements about opposites are true?

Select each correct answer.

Answers

Answer:

(a) TRUE

(b) TRUE

(c)  FALSE

(d) TRUE

Step-by-step explanation:

" The "opposite" of any number is also known as it's " additive inverse" i.e. for any number 'a' the additive inverse is 'a' ".

(a) TRUE

Since let us consider any negative number '-5' then it's opposite is '5' since (-5)+5=0

(b) TRUE

this could be seen clearly from the number line.

(c) FALSE

this statement is false since we can take example of zero.

the opposite of zero is 0 but 0×0≠1.

(d) TRUE

since 0-0=0.Step-by-step explanation:

Which is greatest: 75%, 4/5, or 0.75?

Answers

Answer:

4/5

Step-by-step explanation:

75% = 75/100 = 0.75 = 3/4

4/5 = 80/100 = 80% = 0.80

75 = 75% = 3/4 = 75/100

75%

80% - this is the biggest

75%

HOPE THIS HELPS

PLZZ MARK BRAINLIEST

Answer: 4/5

Step-by-step explanation:

75% = 75/100 same as 0.75

4/5 = 0.80

0.75 already in decimal

Therefore 0.80 is the greatest

Which of the decimals -0.057, -0.57, -0.55, 0.073, 0.57 is the least?

Answers

Answer:

-0.057

Step-by-step explanation:

Because it is in the farthest decimal point from the rest, and trust me.

Answer:

-0.057

Step-by-step explanation:

(possibly wrong)

because it's farther away from the positives or 0

x-intercept is -5, y-intercept is 2
Write in slop intercept form

Answers

Answer:

y = 2/5x + 2

Step-by-step explanation:

y = mx + b

Slope (m) = 2/5

Y-intercept (b) = 2

X-intercept (x) = -5

(-5, 0) (0, 2)

2-0 =    2

0 + 5 = 5

2/5

how many solutions does y=7x-4 have

Answers

Answer: none

Step-by-step explanation:

Find the midpoint of the segment with the following endpoints. (-10,2) and (-5,-1)

Answers

Given:

(-10, 2) & (-5, -1)

Add x values separately; add y values separately:

(-15, 1)

Divide x and y values by 2:

(-7.5, 0.5); midpont

Answer:

(- 7.5, 0.5)

Step-by-step explanation:

Hope this helps

what is the measure of <x​

Answers

Answer:

14°

Step-by-step explanation:

We know that ∠PQS is a right angle.

We also know that ∠PQR is 76°.

So, to find ∠RQS, we can do 90°-76° = 14°

x° = 14°

Answer:

[tex] \huge{ \boxed{ \bold{ \tt{x = 14 \degree}}}}[/tex]

Step-by-step explanation:

First , let's know about complementary angles :

Two angle are said to be complementary if the sum of their measures is 90° .The best way to think of a complementary angle is ' L - Pattern ' .

Now, set up an equation and solve for x :

[tex] \sf{x \degree + 76 \degree = 90 \degree}[/tex]

Move 76° to R.H.S ( Right Hand Side ) and change it's sign

➺ [tex] \sf{x \degree = 90 \degree - 76 \degree}[/tex]

➺ [tex] \boxed{ \bold{ \sf{x \degree = 14 \degree}}}[/tex]

And we're done !

Hope I helped!

Have a wonderful time ! ツ

The Green Team teachers decide to order Urban Cookhouse and their
total is $70. If they add a 22% tip what is their total cost?

Hurry please!

Answers

70 * 0.22 = 15.4
70 + 15.4 = $85.40
The total cost is $85.40

Answer:

85.40

Step-by-step explanation: This is because if you do $70*22%, this gives $15.4. Now add this to $70 to get 80.40!  So, the total is 80.40.

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