what is the first 5 terms of the sequence with a pattern of an = n2 + 4?

Answers

Answer 1

Answer:

5, 8, 13, 20, 29

Step-by-step explanation:

[tex]a_n = n^2 +4\\

Plug \: n = 1, \:2, \:3,\: 4, \:5\\

a_1 = 1^2 +4=1+4 =5\\

a_2 = 2^2 +4=4+4 =8\\

a_3= 3^2 +4=9+4 =13\\

a_4= 4^2 +4=16+4 =20\\

a_5= 5^2 +4=25+4 =29\\[/tex]


Related Questions

Maggie's brother is 10 years younger than four times her age. The sum of their ages is 45.
How old is Maggie?

Answers

Answer:

Maggie =11

her brother= 34

Step-by-step explanation:

let the unknown be x

age of Maggie's brother: 4x-10

sum of their ages= 45

their ages=

4x-10+x =45

4x + x = 45 +10

5x = 55

x = 55/5

x= 11

age of maggie= 11

age of her brother = 4 × 11 - 10 = 34

Answer:

Maggie is 11 And Her Brother is 34

11. Which equation represents 4x - 3y = 15 when solved for y?

Answers

subtract 4x from both sides
-3y = -4x + 15
divide both sides by -3
y = 4/3x -5

The equivalent value of the expression is y = ( 4x - 15 ) / 3

Given data ,

Let the equation be represented as A

Now , the value of A is

4x - 3y = 15

On simplifying the equation , we get

4x - 3y = 15

So , the left hand side of the equation is equated to the right hand side by the value of ( 15 )

Adding 3y on both sides , we get

3y + 15 = 4x

Subtracting 15 on both sides , we get

3y = 4x - 15

Divide by 3 on both sides , we get

y = ( 4x - 15 ) / 3

Therefore , the value of y = ( 4x - 15 ) / 3

Hence , the expression is y = ( 4x - 15 ) / 3

To learn more about equations click :

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Harper and Ali count how much money they have in their piggy banks. Together, they have $24. Harper is a better saver and has twice as much money as Ali. How much money do they have?

Answers

x = Ali's money

2x = Harper's money

2x + x = $24

Combine like terms

3x = $24

Divide each side by 3

x = $8

Ali has $8

Harper has 2 * 8 = $16

1 over 6 parentheses exponent 2

Answers

Answer:

1/36

Step-by-step explanation:

1) 1 over 6 parentheses represents a fraction which is 1/(6)

2) exponent 2 represents 1/(6) squared which is also 1/(6)²

3) Finally, multiply 1/6 two times 1/6*1/6 which is equal to 1/36

Hope this helps!

Math And Data Analysis help ​

Answers

Answer:

75 and 115

Step-by-step explanation:

50+25=75

83+32=115

Answer:

1) Angle ABD = Angle ABC + CBD.

Angle ABD = [tex]50+25=75[/tex]°

2) Angle WYX = Angle WYZ + ZYX

Angle WYX = [tex]32+83=115[/tex]°

Solve for x in simplest form

5 =2/3(8x-6)

Answers

Answer:

Step-by-step explanation:

5 = 2/3 ( 8x - 6 )

to make it clearer, we can just interchange the position of LHS and RHS

2/3 ( 8x - 6 ) = 5

By transposing,

8x - 6 = 5 - 2/3

8x - 6 = 13/3

8x = 13/3 + 6

8x = 31 / 3

x = 31 / 3 × 1/8

x = 31 / 24

Hope this helps

plz mark as brainliest!!!!!!!!!

Answer:

27/16

Step-by-step explanation:

5=2/3(8x-6)

multiply 2/3 with 8x first then multiply 2/3 with -6

5=16/3x-4

shift 16/3x to the left hand side and bring 5 to the right hand side

-16/3x= -4+(-5)

-16/3x= -9

x= -9 divided by -16/3

x= 27/16

hope this helps :)

A roller coaster can handle up to 25 people weighing an average of 150
pounds each. New safety standards have lowered the maximum number
of passengers to 5. If the average weight of the passenger stays the
same, how much would a full load of passengers weigh under the new
limit? In what order would you solve this problem?*
add/subtract
subtract/multiply
O multiply/divide
Option 4

Answers

Answer:

subtract/multiply

Step-by-step explanation:you subtract number of passengers and multiply weight of the passengers..hope this helps :)

Write x2 + 6x – 7 in the form (x + a)+b where a and b are integers.

Answers

Answer:

(x+0.2)+7.8 is the correct answer la

.What kind of slope does perpendicular lines have?

Answers

Answer:

negative reciprocals

Step-by-step explanation:

negative reciprocals

on monday at the county fair jared played a game and won 75 tickets . On Tuesday he won 105 tickets on wednesday , he won 127 tickets but then spent 250 of them on a prize . how many more tickets does jared need to win to get a prize that costs 150 tickets ?

Answers

Answer:93

Step-by-step explanation:75+105+127=307

307-250=57

150-57=93

Yea I agree she is correct

A vendor has 22 balloons for sale: 11 are yellow, 4 are red, and 7 are green. A balloon is selected at random and sold. If the balloon sold is yellow, what is the probability that the next balloon selected at random is also yellow?

Answer choices:
10/21
11/21
10/22
11/22

Answers

Answer:

10/21

Step-by-step explanation:

After the first balloon is gone, there is only 21 balloons left with 10 being yellow. Therefore, the is a 10/21 probability that it is yellow.

10/21 hope this helps

Convert 5 days into years. Round your answer to the nearest hundredth.

Answers

Answer:

5/365 years, or 0.014 years

Step-by-step explanation:

Just like any conversion of units, we just set up the starting amount and multiply it by the correct ratio:

    5 days (1 year/ 365 days) = 5/365 years = 0.014 years

You just need to make sure you choose the right ratio. In this case, I know that 1 year is 365 days, and I'm trying to cancel the days unit, therefore I put the year in the numerator and the days in the denominator.

I hope this helps :D

Answer:

0.01

Step-by-step explanation: 5 ÷ 365 ( days of year)  and it gives you 0.013 then round to nearest  hundredth and since 3 is less than 5 it becomes a 0

Square root of -5 I need help as soon as possible

Answers

Answer:

2.236068i

Step-by-step explanation:

multiply good yes

Answer:

I sqrt5

Step-by-step explanation:

Solve for z: 3z = 24 ???

A) 4

B) 8

C) 21

D) 27

Answers

Answer:

B

Step-by-step explanation:

If you multiply 8 times 3 you’ll get 24

ite Plane - Part 1
1. Josh is traveling from South Carolina to California for summer vacation. The states se
Carolina to Texas is represented by 12x
- 106. The distance from Texas to California is
approximately 2500 miles apart, so he makes a pitstop in Texas. The distance from south
represented by (5x + 685).
5x + 685
12x = 106
Is Josh's pitstop in Texas the midpoint between South Carolina and California? Justify your
answer.

Answers

Answer:

Josh's parent's house in Texas is the midpoint between South Carolina and California.

Step-by-step explanation

Let distance from South Carolina to California = D

D = 2,500 miles

Let distance from South Carolina to Josh's parent's house in Texas = D1

D1 = 12x - 106

Let distance from Josh's parent's house in Texas to California = D2

D2 = 5x + 685

Solve if Josh's parent's house in Texas is the midpoint between South Carolina and California

D1 = D2 = D/2

D/2 = 2,500 miles / 2

= 1,250 miles

D1 = D2 = 1,250 miles

D1 + D2 = D

Substituting D1 = 12x-106 and

D2 = 5x+685 and

D = 2,500

D1 + D2 = D

(12x-106) + (5x+685) = 2,500

Open parenthesis

12x - 106 + 5x + 685 = 2,500

Collecting like terms

12x + 5x = 2,500 - 685 + 106

17x = 1,921

Divide both sides by 17

x = 1,921 / 17

= 113

x = 113

Substitute x into D1 and D2

D1 = 12x - 106

D1 =12(113) - 106

= 1,356 - 106

D1 = 1,250

D2 = 5x + 685

D2 = 5(113) + 685

= 565 + 685

D2 = 1,250

Therefore, Josh's parent's house in Texas is the midpoint between South Carolina and California

$75, $97, $360, $84, $119, $100 Find the median
a. 45
b. 98.5
C. 97
d. 100

Answers

Answer:

C.97

Step-by-step explanation:

Sixty people are invited to a party. There are 24 cups in a package and 18 napkins in a package. What is the least number of packages of cups & napkins that can be bought if each party guest gets one cup and napkin?

Answers

The least number of cups packages would be three and the least number of napkin packages would be 4.

It is around 0.5 please mark it as brainliest it would help a lot thx

What do you think it is? Be sure to explain

Answers

Answer:

x < 6

Step-by-step explanation:

It has to be a number lower than 6, because 6+6 is 12 and that creates a balanced system.

It cant be a number higher than 6, because it will drag itself down.

So we need a number that when combined, it's sum will be lower than 12

2. -3xy, when x = 4 and y = 2​

Answers

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{ - 24}}}}}[/tex]

Step-by-step explanation:

Given, x = 4 and y = 2

[tex] \sf{ - 3xy}[/tex]

plug the value of x and y

[tex] \longrightarrow{ \sf{ - 3 \times 4 \times 2}}[/tex]

[tex] \longrightarrow{ \sf{ - 24}}[/tex]

Hope I helped!

Best regards! :D

Factor fully.
x2 + 5x + 6

Answers

Answer:

You can't factor x or any number other than 1 out.

Step-by-step explanation:


Зу + 5.2 = 2- 5y
What is the answer for this??

Answers

3y + 5.2 = 2 - 5y
8y = 7.2
Y = 0.9

Answer:  

The answer is y=0.4

A person standing on a moving walkway travels 80 feet in 40 seconds. What equation represents the relationship? How many feet will a person travel in 10 seconds?​

Answers

Answer:

Option B. y = 2x; 20 feet

Step-by-step explanation:

1. Determination of the equation that represents the relationship.

Let y be the distance travelled.

Let x be the time taken.

Let K be the speed.

From the question given above, the following data were obtained:

Distance (y) = 80 ft

Time (x) = 40 s

Speed (k) =.?

Speed = Distance /time

K = y/x ......... (1)

K = 80/40

K = 2 ft/s

Substitute the value of k into equation 1

K = y/x

K = 2 ft/s

2 = y/x

Cross multiply

y = 2x

Therefore, the equation that represents the relationship is y = 2x

2. Determination of the distance travelled in 10 s.

Speed (k) = 2 ft/s

Time (x) = 10 s

Distance (y) =.?

y = 2x

y = 2 × 10

y = 20 ft

Therefore, the person will travel 20 feet in 10 seconds.

From the above calculations, the right answer to the question is

Option B. y = 2x; 20 feet

I need help with this one.

Answers

Answer:

y=(-4/1)x-5

Step-by-step explanation:

You need to find the slope of the line and the y intercept, you can do this by plotting the points into a graph and figuring it out that way, or you can use the equations y2-y1/x2-x1 (for slope) and y=(*the slope from the other equation*)x+b. For both equations plug in a corresponding x and y coordinate given on the list (y1 and y2 would be consecutive coordinates, so 1 and 2, and same for x1 and x1, so -9 and -13). You should get (-4/1) for the slope, and when you plug that into the other equation you should get 5. Lastly you plug all these numbers into y=mx+b, and you get your answer.

Hope this helps :)

Four subtract M over nine equal eleven

Answers

Answer:

-95

Step-by-step explanation:

(4 - m) / 9 = 11

Multiply both sides by 9:

4 - m = 99

Subtract both sides by 4:

-m = 95

Multiply both sides by -1:

m = -95

Answer:

-63

Step-by-step explanation:

4 - M = 11

---

9

Bring the 4 to the opposite side of the variable ( bring the 4 to the other side of the = sign where it shows 11 or a different number with no variable. basically if you get a question problem for math like this, and when you see a variable aka a letter, move it to the other side where it doesn't have a letter, move it with the = sign then add or subtract. if the number that your moving away from the variable is positive, you subtract making it negative... but if you have a negative number, do adding instead. )

4 - 11 = -7

subtract and then you muliply

M

--- = -7

9

once you mulipled -7 x 9

your answer should be

M = -63

( Have a good day! )

what is Five less than the product of 6 and a number is no more than twice that same number and what is the solution
HURRY ITS DUE IN 10 MINS

Answers

Answer:

6x - 5 ≤ 2x

4x ≤ 5

x ≤ 5/4

Step-by-step explanation:

Solve the following inequality:

-2(-4/5x+3)-x=3x

Answers

Answer:

x= -5/2

Step-by-step explanation:

First distribute -2 to all the numbers in the parenthesis.

8/5x-6-x=3x

8/5/4=

2/5-6

=-5/2

Hope this helps!

4. After receiving a large water bill, a homeowner has found that they have a leak under the sink
Upon inspection, they learned that they leak is putting out 2/5 cup of water every 1/4 hour. How
much water in cups, will the faucet leak every hour?

Answers

Answer:

1.6 cups every hour

Step-by-step explanation:

The measure of ∠2 is twelve less than five times the measure of ∠1. If ∠1 and ∠2 form a linear pair, find m∠2.

Answers

Given:

The measure of ∠2 is twelve less than five times the measure of ∠1.

∠1 and ∠2 form a linear pair.

To find:

The measure of ∠2.

Solution:

Let measure of ∠1 be x.

The measure of ∠2 is twelve less than five times the measure of ∠1.

[tex]m\angle 2=(5(m\angle 1)-12)^\circ[/tex]

[tex]m\angle 2=(5x-12)^\circ[/tex]

∠1 and ∠2 form a linear pair. So,

[tex]m\angle 1+m\angle 2=180^\circ[/tex]

[tex]x^\circ+(5x-12)^\circ=180^\circ[/tex]

[tex]6x-12=180[/tex]

[tex]6x=180+12[/tex]

[tex]6x=192[/tex]

Divide both sides by 6.

[tex]x=32[/tex]

Now,

[tex]m\angle 2=(5(32)-12)^\circ[/tex]

[tex]m\angle 2=(160-12)^\circ[/tex]

[tex]m\angle 2=148^\circ[/tex]

Therefore, the measure of angle 2 is 148 degrees.

Answer:

148 is the final answer

Step-by-step explanation:

1
2
3
4
5
6
7
8.
Which angle pairs describe same-side interior angles? Select all that apply
angle 3 and angle 5
angle 8 and angle 6
angle 2 and angle 7
angle 2 and angle 6

Answers

Answer:

A.) 3 and 5

Step-by-step explanation:

they are on the same side inside

4.307 x 10 -3 what’s the answer to it ?

Answers

Answer:

3x= 4-x

Step-by-step explanation:

Answer: 40.07

If i got it correct, please mark me as brainliest.

Have A Great Day!

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