Find the 21st term of the arithmetic sequence an=9+3(n-4) a21=

Answers

Answer 1

Answer:

120

Step-by-step explanation:

Given arithmetic sequence

3,5,7,9,.........,21

The first term a=3 & a common difference d=5−3=7−5=⋯=2

If there are n number of terms in the above A.P. then last term l=21 will be the nth term given as

l=a+(n−1)d

21=3+(n−1)2

n=10

hence the sum of given arithmetic progression (A.P.) up to 10 terms is given general formula

Sn=n2(a+l)

S10=102(3+21)

=120


Related Questions

Which polynomial has (3x + 2) as a binomial factor?

Answers

Answer:

Step-by-step explanation:

If binomial (3x+2) is  a factor of some polynomial, then number  is this polynomial's root. Check all polynomials:

6x^3+3x^2+4x+2

Answer:

B. [tex]12x^2+15x+8x+10[/tex]

Step-by-step explanation: I did this assignment on edge.

i need someone help please​

Answers

Answer:

Step-by-step explanation:

a) vertex = (3, 18).

b) This tells us that the doorway is 8 units high.

c) Y intercept is at (0, 0).

d) x intercepts are (0, 0) and (6, 0).

e) The base is horizontal.

Whose sequence proves triangle ABC is congruent to triangle DEF? Why?

Answers

Answer:

If you are doing the same assignment as me then you probably have to choose between either Chanel or Preston and if my math is correct than the right answer would be Chanel.

HELP PLEASE
-8b= 2d-2/h
solve for d

Answers

Answer:

[tex]{ \rm{ - 8b = 2d - \frac{2}{h} }} \\ \\ { \rm{ - 8b + \frac{2}{h} = 2d}} \\ \\ { \boxed{ \rm{d = - 4b + \frac{1}{h} }}}[/tex]

Cuál es la solución de la ecuación 9 x + 1 = 2x + 15

Answers

Answer:

X=2

Step-by-step explanation:

9x+1=2x+15

1. restar 1 de ambos lados  ejemplo: 9x+1-1=2x+15-1

2. simplificar Ejemplo: 9x=2x+14

3. restar 2x de ambos lados ejemplo: 9x-2x=2x-2x+14

4. simplificar ejemplo: 7x=14

5.divide ambos lados entre 7 ejemplo: 7x/7= 14/7

6.Simplificar ejemplo: x=2

Please help! GEOMETRY! Branliest!

Answers

Answer:

None

Step-by-step explanation:

It would be easier to ask your teacher instead of getting wrong answers from random people. Ever think of that :0

Answer:

The smallest degree is15°

Solve the following equation: -5 = 15x​

Answers

Answer:

x=-3.33

Step-by-step explanation:

-5=15x

x=-5/15

x=-3.33

Answer:

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

Step-by-step explanation:

15x=-5

\frac{15x}{15}=\frac{-5}{15}

x=-\frac{1}{3}

Find the area I will make you Brainliest (show working)​

Answers

Answer:

Step-by-step explanation:

16 * 16 = 256

8 * 36 = 288

Add

Answer= 544 mm^2

Answer:

The answer is 544

Step-by-step explanation:

16*16=256

(8+12+16)=36

36*8=288

288+256= 544

55000/500 in standard form​

Answers

Answer:

i think it is 110

Step-by-step explanation:

sorrt if i am wrong

Find the value of the expression.3 + 6 × 2 = _____

Answers

Answer:

15.

Step-by-step explanation:

Hope this helps!

Answer:

15

Step-by-step explanation:

3 + 6 × 2 =

- Following the rules of bedmas, multiply the terms first.

3 + 12

- Now, add the remaining values.

= 15

Please help me please help please help me :)

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

When the variation is direct, the ratio of y to x is a constant (the constant of proportionality).

  19/5 = 22.8/6 = 26.6/7 = 30.4/8 = 3.8

The table is another representation of the proportional relation ...

  y = 3.8x

Yes, the variation is direct.

Help plz I need help plz

Answers

Step-by-step explanation:

the third option is the correct one

simplify
[tex] \sqrt{18} + \sqrt{50} - 2 \sqrt{8} [/tex]
answer pls​

Answers

Step-by-step explanation:

[tex]\sqrt{18} = 3\sqrt{2}[/tex]

[tex]\sqrt{50}=5\sqrt{2}[/tex]

[tex]2\sqrt{8} = 4\sqrt{2}[/tex]

So [tex]3\sqrt{2} +5\sqrt{2} -4\sqrt{2}[/tex]

= [tex]4\sqrt{2}[/tex]

Please give me a brainliest answer

how do I solve 8 - 4x + 5y when x = -2 and y = 6

Answers

8 - 4(-2) + 5(6)
8 + 8 + 30
=46

How to solve this problem?

Answers

Answer:

x° = 35°

Step-by-step explanation:

at 125° to get the opposite angle

180° - 125° = 55°

then,

x° + 90° + 55° = 180°

x° = 180° - 145°

x° = 35°

a total of 600 books were labelled A,B,C and D.Given that 1/4 of the book is labelled A and 3/10 of the book is labelled B.There are 15 books labelled C.Calculate the number of books labelled D.​

Answers

Answer:

255 is the answer........

. The first day of a water polo tournament the total value of tickets sold was $17,610. One-day passes sold for $20 and tournament passes sold for $30. The number of tournament passes sold was 37 more than the number of day passes sold. How many day passes and how many tournament passes were sold?

Answers

Answer:

330 day passes, 367 tournament passes

Step-by-step explanation:

The number of day passes sold is 330, while the number of tournament passes sold is 367.

What is a System of equations?

A set of simultaneous equations, often known as a system of equations or an equation system, is a finite collection of equations for which common solutions are sought.

Let the number of day passes sold be represented by x, while the number of tournament passes sold is y.

Given that on the first day of a water polo tournament, the total value of tickets sold was $17,610.

y = x + 37

Also, The number of tournament passes sold was 37 more than the number of days passes sold.

20x + 30y = 17610

20x + 30(x + 37) = 17610

20x + 30(x+ 37) = 17610

20x + 30x + 1110 = 17610

50x = 16,500

x = 16,500 / 50

x = 330

y = x + 37

y = 330 + 37

y = 367

Hence, the number of day passes sold is 330, while the number of tournament passes sold is 367.

Learn more about the System of equations here:

https://brainly.com/question/12895249

#SPJ2

Sam bought a jacket marked $85.00 and a sweater marked $60.00. If the store was having a 20% off sale on all items, how many dollars did Sam save?

Answers

Answer:

he saved $7.25 Dollars

Step-by-step explanation:

$85 .00÷20% = 4.25 + $60.00 ÷ 20% = 3

HELP PLEASE!!
Write an equation in slope-intercept form for a
line that has a slope of one-half and passes
through the point (4,3). Use the graph below, if
necessary.

Answers

Answer:

y = 1/2x + 1.

Step-by-step explanation:

Use the point-slope form of a straight line:

y - y1 = m(x - x1)     (where m=slope and(x1,y1) is a point on line).

y - 3 = 1/2(x - 4)

y = 1/2x - 2 + 3

y = 1/2x + 1.

Express (2+3)
as a trinomial in simplest form,

Answers

Answer:

A trinomial is an algebraic equation composed of three terms and is normally of the form a[tex]x^{2}[/tex] + bx + c = 0, where a, b and c are numerical coefficients. The number “a” is called the leading coefficient and is not equal to zero (a≠0). For instance, x² − 4x + 7 and 3x + 4xy – 5y are examples of trinomials.

Step-by-step explanation:

Please recheck your question.

which expression has the fewest number of significant figures?

a. 360
b. 18.3
c. 296.54
d. 5,280

Answers

Answer:

A    has two significant figures

The others have at least three

helping my sister with her homework

Answers

Answer:

5 : 10

6 : 12

7 : 14

8 : 16

9 : 18

Step-by-step explanation:

10/5=2

there is only one number in between 7 and 5

so now you have to go up 2 each time in the right collum and go up once in the left collum.

Which statement correctly compares the shapes of the distributions?
Team A's scores
58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 96 98 100
Team B's scores
58 60 62 64 66 68 70 72 74 76 78 80 82 84 86 88 90 92 94 998 100
O A. Team A's scores are symmetric, and team B's are negativ
skewed.
O B. Team A's scores are symmetric, and team B's are positively
skewed.
O C. Team A's scores are negatively skewed, and team B's are
symmetric.
D. Team A's scores are positively skewed, and team B's are

Answers

The statement that compares the distribution shapes is (C) Team A's scores are negatively skewed, and team B's are symmetric.

How to interpret the distribution shapes?

From the complete question (see attachment for box plots), we have the following highlights:

Team A scores has more points at the left. This represents a negative skewTeam B scores has more points at the center. This represents a symmetric skewness

Hence, the statement that compares the distribution shapes is (C) Team A's scores are negatively skewed, and team B's are symmetric.

Read more about skewness at:

https://brainly.com/question/24309209

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Suppose f(x) = 3x*2 - 2x

Answers

Answer:

x=0

Step-by-step explanation:

0=6x-2x

0=4x

4x=0

and the answer is x=0

Please solve... I will mark you brainliest

Answers

[tex]x=16\\m<P=73\\m<Q=67\\m<R=40[/tex]

Answer:

x=42,

Step-by-step explanation:

sorry i don't know the rest but hope this helps u don't need to mark me brianlest i just wanted to help

Find the slope of the line that passes through (10,10) and (1,2)

Answers

Answer:

8/9

Step-by-step explanation:

[tex]m = \frac{10 - 2}{10 - 1} = \frac{8}{9} [/tex]

Justify each step and simplify the equation.
19+56(1/56)

Answers

Answer:

20

Step-by-step explanation:

19 + 56(1/56)

= 19 + 56 x 1/56

= 19 + 1

= 20

-x-2y=8 slope intercept form please

Answers

Answer:

Add x to both sides so the problem will become -2y =8+x, then you divide both sides by -2 to get y by itself. You will now have y=-4+-x. you'll need to double check this but it should be right. remember that slope intercept form is y=mx + b

Can someone help me with number 8 :(

Answers

Answer:

a1=5

d=9-5=4

a20=5+19×4=81

PLEASE HELP ME
A population in a town has 2500 people in the first month of its development. Every month after that, the population constantly increases 1.25 times from the previous month. What will the population of the town be in the 4th month?

A.) About 4883 people
B.) About 6104 people
C.) 12500 people
D.) 9375 people

Answers

Answer:

C.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Just take the 1.25 x 4 months, then multiply that by the 2500 to get your answer of 12,500 people.

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