The nth term of a sequence is 2n + 1
The nth term of a different sequence is 3n - 1

Work out the three numbers that are in both sequences and also between 20 and 40

Answers

Answer 1

Answer:

The three numbers are 23, 29 and 35.

Step-by-step explanation:

Given: The nth term of a sequence is 2n+1 and the nth term of a different sequence is 3n-1.

To find: The three numbers that are in both sequences and also between 20 and 40.

Consider both the sequences.

Put n = 11 in the nth term 2n+1, we get 23.

So, the 11th term of first sequence is 23.

Now put n = 8 in the nth term 3n-1, we get 23.

So, the 8th term of the second sequence is 23.

Therefore, first number that is in both sequence and lies between 20 and 40 is 23.

Now put n = 14 in the nth term 2n+1, we get 29.

So, the 14th term of first sequence is 29.

Put n = 10 in the nth term 3n-1, we get 29.

So, the 10th term of the second sequence is 29.

Therefore, second number that is in both sequence and lies between 20 and 40 is 29.

If we put n = 17 in the nth term 2n+1, then we get 35.

That is, 17th term of first sequence is 35.

Now we put n = 12 in the nth term 3n-1, then we get 35.

That is, 12th term of second sequence is 35.

So, third number that is in both sequence and lies between 20 and 40 is 35.

Hence, the three numbers that are in both sequences and also between 20 and 40 are 23, 29 and 35.


Related Questions

Need help asap please

Answers

It’s the 4 th one I try ink

Answer:

the 4th one hope this helps

CAN SOMEONE PLEASE HELP IVE BEEN ASKING FOREVER FOR SOME HELP

Answers

Answer:

i believe its b. but im not 100% sure though!

Step-by-step explanation:

please mark brainliest, give a thanks, and rate a five stars if this helped! feel free to ask anymore questions if you need any more help! thanks!

(lol optional): add my sc: tealyn337

the formula C = 6p + 200 gives C , the total cost in dollars of hosting a birthday party for p guests at a local ice cream parlor .
A : solve the formula for p .
B : isabella can spend $350 for her birthday party . how many people can she invite ?

Answers

a. C = 6p + 200
C - 200 = 6p
(c - 200)/6 = p

b 350 = 6p + 200
150 = 6p
25 = p

A rugby team had 45 players show up for tryouts last year. This year 60 players came to tryouts. What was the percent increase in the number of players that showed up this year compared to last year?

Question 5 options:

33%


133%


75%


175%

Answers

Answer:

60-45= 15

15/45= 0.33

0.33 X 100 = 33%

Please help me !!!!!!

Answers

Answer:

A

Step-by-step explanation:

Hope it helps!

Answer:

i think its b

Step-by-step explanation:

1. How would you describe the strugure of the Yavapai-Apache Nation's government? 2. What is one check or balance mentioned in this section of the constitution?


I will give brainliest​

Answers

How would you describe the structure of the Yavapai-Apache Nation's government? They have three different branches of government; similar to the US federal government. ... They have a chairman, vice chairman, and nine members of their Tribe Council, each are consisted of popular votes among different districts.

_____consists of activities that are
not required as part of one's formal
role in the organization
Select one:
a. None of the above
b. Lobbying
c. Influence
d. Political behaviour

= Political behaviour ​

Answers

Step-by-step explanation:

political behaviour consists of activities that are

not required as part of one's formal

role in the organization

Find each difference.

A: (−5)−6


B: 35−(−8)


C: −438−(−114)

Answers

Answer:

A = -11

B = 43

C = -324

Step-by-step explanation:

-5 - 6 = -11

35 + 8 = 43

-438 + 114 = -324

Tristan can walk 3 miles in one hour. At this rate, how far will Tristan walk in 4 hours?

Answers

Answer:

12 miles

Step-by-step explanation:

sometimes looking at the units is helpful.

How far Tristan will walk is measured in miles.

3 miles/hour * 4 hours has a unit of miles * hour/hour = miles

3*4 = 12

Answer:

12 Miles

Step-by-step explanation:

Multiply 3 by 4

$200 at 6% for 10 years find the interest and find the balance of the account

Answers

Answer:

358

Stefffffffffffffffffffffffffffp-by-step explanation:

ANSWER QUICKLY

what are 2 things you are allowed to assume for proofs if the picture show for congruency

Answers

Answer: 1. Perpendicular 2. Bisector 2. Perpendicular Bisector Theorem 3.

Step-by-step explanation:

What is 4/5 divided by 1/2

Answers

Answer:

4/5 / 1/2=1 3/5

Step-by-step explanation:

4/5 divided by 1/2 is 1 3/5

I need help please..

Answers

Answer:

Charlotte: 7

Step-by-step explanation:

You can subtract 29 on both sides to get 7=p

The awnser is 7 I’m I think

The table shows the numbers of seeds the owners of pumpkin patch farms received from different seed suppliers. Each of the pumpkins they harvest usually weighs between 10 and 12 pounds. There are 60 rows and the farmers will plant the same number of seeds in each row. How many seeds will they plant in each row

Answers

Answer:I’m trying to find it too

Step-by-step explanation:I don’t know what it is but I’m sure it’s 12-90

1. You notice that you only have 13 pound of cheese and 34 cup of milk. How much
more cheese and milk will you need to get?
2. What if the store only sells the cheese in 1-pound packages and the milk in 4-cup Cartoons? How many of each would u need to buy, and how much would you have left over?
3. Now you decide to mix the dry mustard and salt ahead of time to make a seasoning mix. Add the two ingredients to show how much of the seasoning mix you have.

Answers

Answer:

Yoyo

Step-by-step explanation:

which of the following equations would have 2 x-intercepts

Answers

Answer:

None of these

Step-by-step explanation:

because if we plug in every time we will gwt one solution of X

35 points! Will mark Brainliest! Real answers only!

Answers

Answer:

Ty for the free poiunts!

Step-by-step explanation:

You got the answer right LLO

Answer:

Yea the answer is right

Step-by-step explanation:

3x + 4y + 4 > 0

how would i solve this?

Answers

y > -3x/4 - 1

^ put that into a graph

There are 4 boys eating oranges. Each boy eats 1 / 2 of an orange. How many oranges did the boys eat?

Answers

Answer:

2 oranges

Step-by-step explanation:

Two halves make a whole orange, and since there's four of them, they are eating 2 oranges.

Answer:they would have eaten 2 because 1/2+1/2 is a whole and since there are 4 boys eating 1/2 of an orange they would have eaten 2 oranges

MATH PROBLEM PLEASE HELP I HAVE THE PIC OF THE PROBLEM I WILL GIVE YOUI BRAINLIEST

Answers

Answer:

79.4

Step-by-step explanation:

(85+90+68+75+79) / 5 =79.4

how is the graph of f(x)=-3x^2-4 different from the graph of f(x)=-3x^2 ?

Answers

Answer:

B

Step-by-step explanation:

rules:

add outside the function : f(x) ± a;  will shift  a + up / a- down

add inside the function: f(x ± a); will shift a + left  / a- right

so if

f(x)  becomes f(x) -4  will be shifting down 4 units

9(x-4) -7x=32-2(x+8)

Answers

Answer:

x=13

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

using distributive property:

9x-36-7x=32-2x-16

2x-36=16-2x

4x=52

x= 13

plz brainliesttt

help please 21/r = 15/14

Answers

Answer:

19.6 Don't ask how just give brainliest

Answer:

19.6

Step-by-step explanation:

1/3 as a percent I REALLLLYY NEED GOUR HELPP

Answers

Answer:

33% or 33.3% or 33.33%

Step-by-step explanation:

1/3 as a decimal is 1 divided by 3 which ends up being an infinite number: 0.33333333333333333333333...

But you can write it as 33% or 33.3% or 33.33%

To manufacture 30 items, it costs $2700, and to manufacture 50 items, it costs $3200. If x represents the number of items manufactured and y the cost, write the cost function.

a. Y= -25X + 4450
b. Y = 500 X 21,800
c. Y = 0.04X + 3198
d. Y = 25X + 1950

Answers

Answer:

[tex]y = 25x +1950[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (30,2700)[/tex]

[tex](x_2,y_2) = (50,3200)[/tex]

Required

Determine the linear function

We start by calculating the slope (m)

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

So, we have:

[tex]m = \frac{3200 - 2700}{50 - 30}[/tex]

[tex]m = \frac{500}{20}[/tex]

[tex]m = 25[/tex]

The equation is then calculated as:

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

This gives:

[tex]y - 2700 = 25(x - 30)[/tex]

[tex]y - 2700 = 25x - 750[/tex]

Make y the subject

[tex]y = 25x - 750 + 2700[/tex]

[tex]y = 25x +1950[/tex]

Please answer thank you

Answers

Answer:

y=10.2x

Step-by-step explanation:

x represents hikers

y represents total pounds

Y=10.2x because once the items are added all up you get the amount of the total weight

Which equation represents the line passing through the points (-2,4) and
(2,8)?
A. y = -x + 2
B. y = -x + 6
C. y = x +4
D.y = x + 6

Answers

Answer:

D

Step-by-step explanation:

plug in both values into the equations, and whichever one works for both is the right answer

the required equation is, D. y= x+6

What is a straight line?

A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined both sides of a point and has no curve.

Here, we have to points (-2,4) and, (2,8)

So, by using the formula of equation of straight line of two-point form, we get,

(y-y_1)/(x-x_1 )=(y_2-y_1)/(x_2-x_1 )

=>(y-4)/(x+2)=(8-4)/(2+2)

=>y-4=x+2

=>y=x+6

Hence, the required equation is, D. y= x+6

To learn more on Equation 0f Straight-Line click:

brainly.com/question/11116168

#SPJ5

y = - x + 4 y = 2x - 8​

Answers

Answer:

{y,x} = {0,4}

Step-by-step explanation:

// Solve equation [2] for the variable  y  

 

 [2]    y = 2x - 8

// Plug this in for variable  y  in equation [1]

  [1]    (2x-8) + x = 4

  [1]    3x = 12

// Solve equation [1] for the variable  x  

  [1]    3x = 12  

  [1]    x = 4  

// By now we know this much :

   y = 2x-8

   x = 4

// Use the  x  value to solve for  y  

   y = 2(4)-8 = 0

^^ the person above had the same answer as me! have a good day!

complete the ratio table below

Answers

I think 53, 46, and 65

what is this answer?​

Answers

Answer:

the answer is h=9

Step-by-step explanation:

the answer is h=9

27/3=9

Other Questions
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