If the nth term of a number sequence is n^2 + 2,
find the first 3 terms and the 10th term ​

Answers

Answer 1

Answer:

The first three terms are [tex]3,6,11[/tex]

The 10th term is [tex]102[/tex]

Step-by-step explanation:

An ordered list of numbers is known as a sequence such that each number in the sequence is called a term.

The nth term is [tex]a_n=n^2+2[/tex].

To find the first 3 terms, put [tex]n=1,2,3[/tex]

[tex]a_1=1^2+2=1+2=3\\a_2=2^2+2=4+2=6\\a_3=3^2+2=9+2=11[/tex]

To find the 10th term, put [tex]n=10[/tex] in [tex]a_n=n^2+2[/tex]

[tex]a_{10} =(10)^2+2=100+2=102[/tex]


Related Questions

find the difference
1. 4-3/5
2.5-4/7
3.6-2/3
4.5-7/8
5.7-2/5​

Answers

1) with 3/5 as a fraction one whole number can be written as 5/5

so you could rewrite 4 as 3 and 5/5 now subtract 3/5 and you are left with

3 and 2/5

2) one whole number can be written as 7/7

Now you have 4 and 7/7 minus 4/7 to get 4 and 3/7

Using the same steps for the rest:

3) 5 and 3/3 -2/3 = 5 and 1/3

4) 4 and 8/8 - 7/8 = 4 and 1/8

5) 6 and 5/5 - 2/5 = 6 and 3/5

A shirt is on sale for $42 if this is 4/5 of the original price of the shirt what was the original price of the shirt

Answers

Answer:

$52.50

Step-by-step explanation:

42=4x/5

210=4x

x=52 50

the difference of products of a fraction with 5 whole 7/8 and 3 whole 3/4 is 11.Find the fraction.​

Answers

Answer:

88/17

Step-by-step explanation:

5x · 7/8 - 3x · 3/4 = 11

35x/8 - 18x/8 = 17x/8

17x/8 = 11

17x = 88

x = 88/17

I don’t know how to do this help me

Answers

Answer:

The answer: ( 2 , -3 )

Step-by-step explanation:

equation (1): 5x + 2y = 4

equation (2): y = x - 5

step1: sub ( x-5 ) for y in equation 1:

5x + 2 ( x-5 ) = 4

step2: multiply 2 by the bracket:

5x + 2x - 10 =4

step3: add the x term together:

7x - 10 = 4

step4: add 10 for both sides:

7x = 14

step5: divide by 7 from both sides to get the value of x:

x = 2

step6: sub ( 2 ) for x in equation 2 :

y = x - 5

y = 2 - 5

step7: simplify to get the value of y:

y = -3

So the answer is:

x = 2   and   y = -3

( 2 , -3 )

helllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllllll

Answers

Answer: 3 bags

Step-by-step explanation:

Since a bag has 8 buns, 3 bags would total 24 buns. 2 bags would be 16 buns which is not up to 20 buns. 3 bags is what she'll need as its the best option.

Please help! tell me which one i need to mark off

Answers

Answer:

1) c

2)a

3)a

Step-by-step explanation:

Its write i rechecked it..

mark me the brainliest

thank u

hope it helped u

whos ur fav characther of mhaaa (my hero academia) also dont report meeee and if any of yall think about saying todoroki is yalls bae know that hes MINE tyvm <3

Answers

Answer:

denki

because..... pika pika

Answer:

Todoroki Shoto

Todoroki Toya (Dabi)

Takami Keigo

Aizawa Shota (Eraser)

Yamada Hizashi (Mic)

Kayama Nemuri

Bakugo Katsuki

Eijiro Kirishima

Amajiki Tamaki

Hado Nejire

Kendo Itsuka

Jiro Kyoka

Ashido Mina

Kaminari Denki

Shimura Tenko (Shigaraki Tomura)

Kurogiri (Orobo Shimakuro)

Tokoyami Fumikage

Toga Himiko

(Pls don't hate me if I didn''t say deku or uraraka they just aren't my favs and everyone has their own opinions ;w; also i just typed them like that they are in no particular order)

-- Koda

A shop owner increases some prices by 50%.
This is the same as:

choose one
multiplying the original price by 0.5, 1.5, 2.5 or 150?

Answers

1.5 is correct answer

The another way is same as;

Multiplying by 0.5 with original price.

Here,

A shop owner increases some prices by 50%.

We have to find another method to find same condition.

What is the percentage?

A relative value indicating hundredth parts of any quantity is called the percentage.

Now,

A shop owner increases some prices by 50%.

Let the original price is x.

Then, The increase value = x * 50% = x * 50/100 = 0.5x

Hence, To find the increase value we have to multiply by 0.5 with original price.

Learn more about the percentage visit:

https://brainly.com/question/22603224

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4(x+y) distributive property

Answers

I think it is:
4(x+y)
=4x+4y

Hopefully this helps :)

Factor the following, using the grouping method:
y=x^2−11x+18

Answers

Answer:

(x-9)(x-2)

Step-by-step explanation:

for every 5 red cars there are 8 black cars. If there are 24 more black cars than red cars how many total vehicles are there​

Answers

Answer:

15 red cars + 24 black cars = 38

The total vehicles are 104.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

For every 5 red cars there are 8 black cars.

And, There are 24 more black cars than red cars.

Here, For every 5 red cars there are 8 black cars.

Hence, Number of red cars = 5x

Then, Number of red cars = 8x

And, There are 24 more black cars than red cars.

Hence, We get;

⇒ 24 + 5x = 8x

Solve for x as;

⇒ 24 = 8x - 5x

⇒ 24 = 3x

⇒ x = 8

Thus, Number of total vehicles = 5x + 8x

                                                = 5×8 + 8×8

                                                = 40 + 64

                                                = 104

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ5

The diameter of a circle is 3 m. What is the circle's circumference?

Answers

Answer:

C≈9.42m

Step-by-step explanation:

C=πd=π·3≈9.42478m

Circumference = πD
= 3π
= 9.4247779607694

PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP PLS HELP! how do you beat your teacher when she tells you how to do something and you are ready know it?

Answers

Answer:

with a stick

Step-by-step explanation:

Answer:

i have no clue

Step-by-step explanation: sorry

easy question ill give brainliest

Answers

Answer:

Middle one

Step-by-step explanation:

Answer:

y=10xz

Step-by-step explanation:

which of the lines graphed has a slope of -2 and a y-intercept of 3

Answers

Answer:

I think b

Step-by-step explanation:

need a better quality photo

Answer:

B

Step-by-step explanation:

It's a little hard to see but I'm pretty sure it's B because we're looking for a graph that has a slope of -2 so it couldn't be A or D because they have positive slopes since they are pointing up. That leaves B and C. I can't really see but C doesn't look like it has a slope of -2, so I went with B because it has a y-intercept of 3 and looks like it has a slope of -2.

Solve for x

Please help! I need a explanation so I can understand better

Answers

Answer:

The answer is - 5

Step-by-step explanation:

[tex]x + 55 + 45 + 85 = 180 \\ x + 185 = 180 \\ x = 180 - 185 \\ x = - 5[/tex]

I am a math teacher If you need any explanation you can communicate with me on Whats on this number 01557831028

2 (y-1) ≥8

please answer

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form:

y ≥ 5

Step-by-step explanation:

Distribute

2y - 2 = 8

     +2.     +2

2y/2 = 10/2

y = 5

What is the slope and y-intercept of y = x + 1?​

Answers

Answer:

The y-intercept is 1 and the slope is x

Step-by-step explanation:

product of 2,4,6 please tell​

Answers

Answer:

Product of 2,4,6 is 48❤️❤️❤️❤️

2×4×6 ⇒ 8×6 ⇒ 48

I hope its clear for you

Find the equation of the line through the points (−5,86) and (95,16).

Answers

Answer:

y=-0.7x+82.5

Step-by-step explanation:

i need help what is 1/3x-3?​

Answers

Answer:

[tex]\frac{1}{3}x-3=\frac{x}{3}-3[/tex]

Step-by-step explanation:

[tex]\frac{1}{3}x-3\\\\\frac{1}{3}x = \frac{x}{3} \\\\Find\:L.C.M.\\\\=\frac{x}{3}-3[/tex]

The store is offering a 15% discount .
The regular price of a hat is $18 , what is the discount price?

Answers

Answer:

$15.30

Step-by-step explanation:

Tom and Katie are discussing the sequence: 22, 17, 12, 7, 2
Tom says the nth term rule is: -5n+17
Katie says the nth term rule is: 27-5n

A)Only Tom is correct
B)Only Katie is correct
C)They both are correct
D)Neither are correct

Answers

Answer:

B

Step-by-step explanation:

There is a common difference d between consecutive terms, that is

d = 17 - 22 = 12 - 17 = 7 - 12 = 2 - 7 = - 5

This indicates the sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = 22 and d = - 5, then

[tex]a_{n}[/tex] = 22 - 5(n - 1) = 22 - 5n + 5 = 27 - 5n → B

PLS HELP I DONT UNDERSTAND !

Answers

Answer:

I think the answer is 24

Step-by-step explanation:

hope its helpful

Write the equation of the line in slope-intercept form. Explain how you found the slope and the y-intercept .

Answers

Answer:

sry i dont know........

PLEASE HELP WILL GIVE BRAINLIEST

Answers

Answer:

Yes

Step-by-step explanation:

Angle sum property=180°

The first triangle = 105°+40° = 145°= 180-145=35

The second triangle = 105°+35°=140°=180-140=40

So both are same

Try to find the third angle in both triangles and if the angles of both triangles are same, it means the triangles are similar

You drive a car that holds 15 gallons of gasoline. Your car uses 0.03 gal per mile. Which equation best represents this information

Answers

Option B is the correct answer because you start with 15 gallons (y-intercept), and the car consumes or decreases at 0.03 gal/per mile (your slope or m).

If one event impacts the probability of a second event occurring, than which of the following is true?
The events are complements.
The events are dependent.
The events are independent.

Answers

Answer:

The events are dependent.

Step-by-step explanation:

Two events A and B are said to be independent if the fact that one event has occurred does not affect the probability that the other event will occur. If whether or not one event occurs does affect the probability that the other event will occur, then the two events are said to be dependent.

Hope it will help :)

There are 13 girls and 12 boys in a zoom dass. Of these students, 9 girls and 5 boys always have their camera's on. What percentage of the students have their camera's on? (6.5B) zoom​

Answers

Answer:

56%

Step-by-step explanation:

9 girls + 5 boys have cameras on

this is 14 out of 25, or 56%

Calculate The Slope

(10,3) and (7 , 9) = 9 – 3/ 7 – 10 = 6/-3 = -2


(4, -2) and ( 4, 3)


(2,10) and (8 , 7)


(7, 3) and (8, 5 )


(12,11) and (9 , 5)


(6, 2) and (3, 2)

Answers

Answer:

78

Step-by-step explanation:

21

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