What is the nth term rule of the linear sequence below?
-9, -5, -1,3,7,...

Answers

Answer 1

Answer:

Step-by-step explanation:

Given sequence

-9, -5, -1,3,7,...

Is A.P(,airthmetic progression)

So

nth term of an A.P =a+(n-1)d

Where a=first term (-9)

D=difference=(-5)-(-9)=4

So nth term=-9+(n-1)4

=4n-13

Answer is 4n-13


Related Questions

1. The sum of 6 and the quotient of a number and 4 is 10.

Answers

Step-by-step explanation:

20÷4=20/4=5 is the quotient I'm pretty sure

Answer:

34                       Sorry if im kinda late

Step-by-step explanation

The equation is 6+x/4=10. now we figure out what x=? there are a lot of ways to figure out the answer this is what im gonna do first figure out what divided by 4 equals 10. multiply 10 times 4 you get 40 which means 40 divided by 4 equals 10 now subtract 6 from 40 and you get 34.

Please mark brainliest.

Can anyone help it would mean alot im struggling right now

Answers

Answer:

what do you need? ^-^ I can help you

PLEASE HELP IF CORRECT I WILL MARK BRAINLIST!!!! PLZZZ

Answers

Answer:

3/4 !

Step-by-step explanation:

If you use RISE/RUN, by counting up, then to the right, you end up with 3/4 (positive slope)! If you need further of an explanation, you can ask!

7th grade math help me pleaseeeee

Answers

Answer:

Monique is correct.

Step-by-step explanation:

You take the absolute value of both numbers (which means the positive version of it) and add that together.

7+17=24

<br />[tex] \sqrt{2x - 5 } = 0[/tex]<br />What is x? ​

Answers

Answer:

[tex]x=\frac{5}{2}[/tex]

Step-by-step explanation:

In order to solve for "x" we proceed to raise both sides of the equal sign to the power 2 in order to eliminate the root:

[tex]\sqrt{2x-5} = 0\\(\sqrt{2x-5})^2 = 0^2\\2x - 5=0\\2x = 5\\x=\frac{5}{2}[/tex]

Not quite sure about the answer but it seems simple. Please answer!​

Answers

Answer:

Its A

Step-by-step explanation:

Write whether the scenario represents a linear function or an exponential function? Explain why.

A water tank is filled at a rate of 2 gallons per minute.
A vine grows 6 inches every week.
A species of fly doubles its population every month during the summer.
A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.
The value of a popular painting has been increasing by 12% each year for the past 10 years.

Answers

The scenario represents a linear function. The rate is at a constant increase therefore it is linear.

Linear because it’s a constant rate

Since it’s doubled, and doesn’t go at a constant rate, it is a exponential function

Exponential since it increases by a multiplicative rate. It’s not constant

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Answers

3 should be it......

Find the simple interest earned after 5 years on $800 at an interest rate of 9

Answers

Answer: It would be $1160

ANSWER PLS OR NOTHING WILL HAPPEN

Answers

Answer: 8

Step-by-step explanation:

Answer:

[tex]( - 4)( - 2) = \boxed{8}[/tex]

compute the sum of the first 40 positive multiples of 3

Answers

Answer:

fvhfbevhebeo

Step-by-step explanation:

Answer: 2460

Step-by-step explanation: Used a calculator, and added from 3 x 1, since the answer is the first 40 positive multiples.

Another way is: 3 + 6 + 9 + ... + 120. There are 40 numbers, so 20 pairs of 123. 123 x 20 + 2460 :)

HOPE THIS HELPS <3

If the ordered pair (a, b) satisfies the inequality. y > x-4, three of these statements are
true. Which statement is NOT true?

Answers

Number one jjnhhhnnbbb=20

Find the value of the missing angle

Answers

The Awnser is 160 I think

Please i need help
A point on a wheel has a constant angular velocity of 3 rad/s. The angle turned through in 15 seconds is:

45 rad


10π


5 rad


90π rad

Answers

Answer
I think 10
Hope this help

Find the sum of all integers between −102 and 104.

Answers

The integers from -102 to 102 would all cancel, leaving you with

(-102) + (-101) + ... + 0 + 1 + 2 + ... + 101 + 102 + 103 + 104

= 103 + 104

= 207

David Read 156 books Victoria read 98 books more than David how many has Victoria read

Answers

Step-by-step explanation:

David read 156 books

Victoria read 98 books more than David

Victoria read 156 + 98 = 254 books

Find the slope of x=(5,6), y=(0,2)

Answers

Answer:

4/5

Step-by-step explanation:

the equation of slope is y1-y2/ x1-x2

you get 4/5

the perimeter of a rectangle pool is 56 meters the length of the pool is 16 Meters what is the area of the pool​

Answers

The area of the rectangle pool is 192 square feet

Answer:

160meters^2

Step-by-step explanation:

You know the perimeter is 56, and there are four sides. Two of the sides are the same (16 and 16), and the other two sides are the same. Add 16 to 16 and then subtract it from 56 to get the remaining two sides. 56 - 32 = 20. 20 needs to be split in half to find the other two sides. Now you know the sides are 16, 16, 10, and 10. Multiply Length by width (16 times 10) and you get 160 meters (squared) as the total area.

true or false ------- y-intercept is where a point crosses the x-axis

Answers

Answer:

false

Step-by-step explanation:

that would be x-intercept

The y -intercept is the point where the graph crosses the y -axis. So, the statement is true. ANSWER:
True

When Anton learned to read Braille,he read 12 words per minute.Six weeks later he could read 50% faster.Two months later,he increased his speed by 50%again.How many words per minute could he read?​

Answers

Answer:

24

Step-by-step explanation:

There are 35 tickets in a bag and the ratio of winning tickets to losing tickets is 1 to 4. How many of each kind of ticket are in the bag

Answers

Answer: Number of winning tickets =7 and Number of losing tickets = 28 .

Step-by-step explanation:

Given: Total tickets = 35

The ratio of winning tickets to losing tickets = 1:4

Number of winning tickets = [tex]\dfrac{1}{1+4}\times35[/tex]

[tex]=\dfrac{1}{5}\times35\\\\=7[/tex]

Number of losing tickets = [tex]\dfrac{4}{5}\times35[/tex]

[tex]=4\times7=28[/tex]

Hence, Number of winning tickets =7 and Number of losing tickets = 28 .

Answer:

7 wining tickets and 28 losing tickets

Step-by-step explanation:

what is the degree measure of f?

Answers

The answer is 58 pretty sure

Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?

Answers

Answer:

The correct option is a. Amy’s balance would be greater than Hank’s in the end.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?

a. Amy’s balance would be greater than Hank’s in the end.

b. Amy’s balance is $5,142 and Hank’s balance is $3,207.

c. Hank’s balance would be greater than Amy’s in the end.

d. The investment and balance would be the same.

e. None of these are true

The explanation to the answer is now given as follows:

The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (1)

Where;

For Amy:

FV = Future value or balance in the end = ?

M = Monthly investment = $500

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 40 years * 12 months = 480

Substituting the values into equation (1), we have:

FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)

FV = $500 * 1,991.49

FV = $995,745.37

Therefore, Amy’s balance would be $995,745.37 in the end.

For Hank:

FV = Future value or balance in the end = ?

M = Monthly investment = $1,000

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 20 years * 12 months = 240

Substituting the values into equation (1), we have:

FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)

FV = $1,000 * 462.04

FV = $462,040.90

Therefore, Hank’s balance would be $462,040.90 in the end.

Conclusion

Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.

evaluate the expression a +7 when a=4, b=2, and c=8

Answers

Answer:

a + 7

so "a" is 4 so

4+7=11

Hope this helps!

If a=4 and the equation is a+7 then the equation would be, with the numbers plugged in, 4+7 which equals 11.

Answer: 11

For f(t)=t−2 and g(t)=t−5, find:

a) (f/g)(t)=

Answers

Step-by-step explanation:

[tex]f(t) = t - 2 \: \: \: \: \: \: \: \: \: g(t) = t - 5 \\ ( \frac{f}{g} )(t) = \frac{t - 2}{t - 5} [/tex]

Given: Line NM is parallel to line OQ, like NE is congruent to line OQ, Line NR is perpendicular to line MP, line OP is perpendicular to line MP
Prove: NR congruent to OP

Answers

Answer:

Step-by-step explanation:

From the picture attached,

In ΔNMR and ΔOQP,

NM║OQ, and MP is the transversal intersecting these lines at M and Q.

∠NMR ≅ ∠OQP [Given]

m∠NRM = m∠OPQ = 90° [Given]

ΔNMR ~ ΔOQP [By AA property of similarity]

Therefore, corresponding sides of the similar triangles will be proportional.

[tex]\frac{NM}{OQ}=\frac{MR}{QP}=\frac{NR}{OP}[/tex]

Since, NM ≅ OQ [Given]

Therefore, NR ≅ OP

Could you please help?

Answers

Answer:

52 degrees (which agrees with the last answer option).

Step-by-step explanation:

You need to subtract from 90 degrees (the measure of the larger angle < DCF) the measure of angle <ECF (which is 38) to find the measure of the angle that is left <DCE:

< DCE = 90 - 38 = 52 degrees (which agrees with the last answer option).

Which scenario describes this picture?

Answers

Answer:

It"s the second answer, "An 8-foot ramp leans....".

Step-by-step explanation:

Answer:

Step-by-step explanation:

An 8-foot ramp leans against a building 5 feet away.  

cos x = [tex]\frac{5}{8}[/tex] ⇒ x ≈ 51.3178°

A single die is rolled twice. The 36 equally likely outcomes are shown to the right. Find the probability of getting two even numbers

Answers

Answer:

1/4

Step-by-step explanation:

The combinations where both numbers are even are:

2, 2

2, 4

2, 6

4, 2

4, 4

4, 6

6, 2

6, 4

6, 6

There's a total of 9 combinations.  So the probability is 9/36 = 1/4.

An exam has two probability problems, 1 and 2. If 37% of the students solved problem 1 and 12% of the students solved both problems 1 and 2, what is the percent of students who solved problem 2 given that they solved problem 1

Answers

Answer:

63%

Step-by-step explanation:

37% did not solve problem 2

100% - 37% = 63%

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