The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below. What is the 50th term of this sequence?

Answers

Answer 1

Answer:

345 is the answer

Step-by-step explanation:

use the nth term sequence and you get 7n-5 just substitute 50 and you get that hope I helped!

Answer 2

The 50th term of this arithmetic sequence will be 9655.

What is an arithmetic sequence?

Let a₁ be the first term and d be a common difference. Then the nth term of the arithmetic sequence is given as,

aₙ = a₁ + (n - 1)d

The sequence 2, 9, 20, 35, . . . is another example of a rectangular number pattern, as illustrated in the art below.

The first term is 2 and the common difference depending on 'n' will be given as 4n - 3.

Then the 50th term of this arithmetic sequence will be

aₙ = a₁ + (n - 1)d

aₙ = a₁ + (n - 1)(4n - 3)

a₅₀ = 2 + (50 - 1) × (4 × 50 - 3)

a₅₀ = 2 + 49 × 197

a₅₀ = 2 + 9653

a₅₀ = 9655

The 50th term of this arithmetic sequence will be 9655.

More about the arithmetic sequence link is given below.

https://brainly.com/question/12373434

#SPJ2


Related Questions

The length of a rectangle measures 5/8 of a foot. The width of the rectangle measures 2 1/2 feet. What is the area of the rectangle?

Answers

Answer:

1 9/16 square feet  or 1.5625 square feet

Step-by-step explanation:

Area of a rectangle is Length x Width

First convert 2 1/2 into a number that is just a fraction.

2 = 4/2  so 4/2 + 1/2 = 5/2

Now you can multiply the two fractions to find the area.

area = 5     5       25

          --  x  --   = -----

          8      2       16

To simplify this, you know 16/16 = 1  so subtract 16 from the numerator which leaves 9/16

Your answer will be 1 and 9/16

2 1/2 multiplied by 5/8 = 1.5625

How many minutes are there in 3-hours?
4
34

Answers

Answer:

180

Step-by-step explanation:

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \:3 \: \frac{1}{4} \: \: hours \: = \: \frac{13}{4} \: hours\: \\ [/tex]

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: \frac{13}{4} \: hours \: \: = \: 3.25 \: hours \\ [/tex]

[tex] \Large\begin{gathered} {\underline{\boxed{ \rm \: {\purple{1 \: hour \: = \: 60 \: minutes}}}}}\end{gathered}[/tex]

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: 3.25 \: hours \: = \: 3.25 \: \times \: 60[/tex]

[tex]{{ \large{ \red{ \rm{{⇛}}}}}} \rm \large \: \: 3.25 \: hours \: = \: \:{{ \large{ \orange{ \rm{{195 \: minutes}}}}}} [/tex]

Find the selling price of a book with an original price of $49.95 and a 5% tax rate.please be specific on how the answer is the answer pls help me

Answers

Step-by-step explanation:

$52.45

49.95×.05

then add that result to 49.95= answer

WILL GIVE BRAINLIEST
questions 35-45 odd
please show work

Answers

Answer:

35. Domain is -∞,∞ Range is y=0.

Step-by-step explanation:

No solution.

Below is the table of values of a function. Write the output when the input is n.
input
3
5
6
n
output
6
10
12
_

Answers

Answer:

2n

Step-by-step explanation:

the output will be 2n

please brainliest

4) Ten more than number is 62.

Answers

Answer:

52

Step-by-step explanation:

62-10

52 my brudda no cap just do 62 minus 10

What is the slope of a line perpendicular to the line whose equation is x-3y=12x−3y=12. Fully simplify your answer.

Answers

Answer:

(2+3y=12) that is the simplify form

How do I round up numbers from a decimal

Answers

Answer:

you can brows this question easily

please help me..
here is a part of a proof that chen wrote. what is his error?
(refer to the picture)​

Answers

Answer:

<A is not congruent to angles B or C

Step-by-step explanation:

AB ~AC Given

<B ~ <C isosceles Triangle Theorem

The length of the side AB and AC will be congruent with each other. Then the triangle ΔABC will be an isosceles triangle.

What is the triangle?

The polygonal shape of a triangle has a number of sides and three independent variables. Angles in the triangle add up to 180°.

The two triangular legs and their opposing angles are congruent in an isosceles triangle.

In triangle ΔABC, then the length of the side AB and AC will be congruent to each other.

AB = AC

Then the triangle ΔABC will be an isosceles triangle.

More about the triangle link is given below.

https://brainly.com/question/25813512

#SPJ2


HELP QUICKKKK!!!!!

Answers

D. When you reflect over the y axis, the coordinates change from (x,y) to (-x,y). Since all of the numbers are negative, the x coordinate would be positive

why is -2/4 bigger than -7/12​

Answers

Answer:

-2/4 can be written as -6/12

in negetive integers:: if the numerical vallues goes on increasing then the numbers are in decreasing order

so, -6/12 > -7/12

but 6/12 < 7/12

hope you understood

brainliest plz

Answer:

Step-by-step explanation:

To compare both fractions should have same denominator.

LCM of 4 and 12  is 12

[tex]\dfrac{-2}{4}=\dfrac{-2*3}{4*12}=\dfrac{-6}{12}[/tex]

[tex]\dfrac{-6}{12} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\\dfrac{-2}{4} \ is \ bigger \ than \ \dfrac{-7}{12}\\\\[/tex]

Factor the expression

Answers

Answer:

(x−1)(x+2)(x+2)

Step-by-step explanation:

x2(x−1)+4x(x−1)+4x−4

x3+3x2−4

=(x−1)(x+2)(x+2)

Answer:

( x - 1 ) ( x + 2 )²

Step-by-step explanation:

→ Factor out 4x - 4

4 ( x - 1 )

→ Rewrite

x² ( x - 1 ) + 4x ( x - 1 ) + 4 ( x - 1 )

→ Factor out x - 1

x - 1 ( x² + 4x + 4 )

→ Factor the quadratic inside

( x - 1 ) ( x + 2 )²

I WILL GIVE BRAINLIEST AND 30 POINTS
What is the slope of the line on the graph?

Enter your answer in the box.

Answers

Answer:

6

Step-by-step explanation:

(y1-y2)/(x1-x2) = (-1-5)/(0-1) = -6/-1 = 6

hope it helps!

pls answer ASAPPP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!1!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

46, 57 , 67

Step-by-step explanation:

Acute scalene triangle : A triangle in which all three angles are less then 90 degrees and all three angles are different measurements .

have a good day

write 4270000 in scientific notation​

Answers

4.27x10*6
i cant get it to come up properly but its to the power of 6

A city bus goes 18miles in 30 minutes . HOW far does it go in 2 minutes?

Answers

the bus goes 9 miles every 2 minutes

Answer:

the city bus would cover 6 miles in 10 minutes.

Step-by-step explanation:

18 miles = 30 minutes

? miles = 10 minutes

cross multiply

? x 30 = 18 x 10 (180)

? = 180/30

? = 6

the city bus would cover 6 miles in 10 minutes.

Write the quadratic equation the has the roots (-1-√2)/3 and (-1+√2)/3 if its coefficient with x^2 is equal to...1

Answers

Step-by-step explanation:

x1+x2 = (-1-√2)/3 + (-1+√2)/3

= -2/3

(x1) (x2) = (-1-√2)/3 × (-1+√2)/3

= -1/9

the equation :

x² -(-2/3)x + (-1/9) = 0

x² + x - 1/9 = 0

what is b divided by b% of b? PLS HELP

Answers

Answer:

b / (b/100×b)

= b / (b/50

= 50b/b

= 50

Step-by-step explanation:

brainliest plz

Answer:

b²/0.0b

Step-by-step explanation:

You're asking what is

[tex] \frac{b}{b\%} \times b[/tex]

Know that b% translates to b/100=0.0b

b×b=b²

Therefore it becomes

[tex] \frac{ {b}^{2} }{0.0b} [/tex]

a squared plus b squared equals c squared calculator

Answers

Answer:

umm?

Step-by-step explanation:

You just uhh explained the pythagorean theorem formula

[tex]a^{2} + b^{2} = c^{2}[/tex]

but what's the question?

*Will Give Brainliest Answer Please Help*

Find a quadratic equation that models the situation, and use it to solve the problem. Show your work..

Two square shaped swimming pools need to be constructed by the local civic body for athletes training. The difference between the perimeters of the two pools is 16 ft. If the sum of the areas of the two pools is 730ft^2 , find the side length of the smaller pool.​

Answers

Answ

tep-by-step explanation:

dan drove 512miles in 8hours. what was hos average speed for the trip

Answers

Answer:

64 miles per hour

Step-by-step explanation:

512 divided by 8 equals 64

Answer:

jkb jhb n

Step-by-step explanation:

find the slope of the line passing through the points (9,-9) and (1,-1)

Answers

Answer:

The slope is -1

Step-by-step explanation:

Slope formula:

In (9,-9):   9 is x1 and -9 is y1

In (1,-1):      1 is x2 and -1 is y2

m= y2-y1/x2-x2

m= -1+9/1-9

Which is 8/-8

Simplify:

-1

The slope is -1

Hope this helps!

Answer:

-1

Step-by-step explanation:

To find slope, take the two points and find the RISE/RUN, which is y-y/x-x. Stay consistent with how you order the numbers. In this case, I'll do -1 -(-9) / 1 - 9. That will give you 8/-8, which when simplified gives you -1.

Answer choice B is incorrect

Answers

Answer:

i'd say C, reason being is because the origin is not directly on the point, so the dilation moves up 1.5

Step-by-step explanation:

The complement of an angle is half of it’s size. Find the angle

Answers

The angle is 30 degrees

If y varies directly as x, and y = 5 when x = 1.5, then find y when x = 105.

a. y = 78.75
b. y = 1.5
c. y = 707.5
d. y = 787.5

Answers

Answer:

I think it's

Step-by-step explanation:

b.y=1.5

it can be right or wrong:/

B y = 1.5. Hftjchjbcjhccgjbv

Alex made 135 out of 540 cookies for the bake sale. What percent of cookies did Alex make for the bake sale?
A. 40%
B. 30%
C. 25%
D. 50%

Answers

Answer:

c) 25%

Step-by-step explanation:

135÷540=0.25

so 25%

Easy math problem.....

Answers

Answer:

A should be correct.

Step-by-step explanation:

Given, a = 1/2 and b = -1/3

First, let's solve the numerator. Then we have:

1/2 - 1/3

= 1/6

Since we found out our numerator, It is time to find out our denominator.

We have:

1/2 x -1/3

= -1/6

Since we now know the numerator and the denominator, we can now find out what is a+b/ab. We can find that by adding the numerator and denominator.

1/6 divided by -1/6 is equaled to -1.

Therefore, A should be correct.

Kind requests:

Please give me brainliest. Glad to help :)

If you are currently viewing this answer, please give me 5 stars and a thanks. Also, if you send me a friend request, I will gladly accept it :D

Answer:

A. -1

Step-by-step explanation:

1/2 + -1/3

-------------

1/2 x -1/3

First, make 1/2 and -1/3 have the same denominator

1/2 x 3/3 = 3/6

-1/3 x 2/2 = -2/6

Add

3/6 + -2/6 = 1/6

Multiply

1/2 x -1/3

1 x -1

-------

2 x 3

= -1/6

This makes the big equation

1/6

-----

-1/6

Simplify

1/6 / 1/6

-----------

-1/6 / 1/6

1/-1

or -1


Find the value of X.

Answers

Answer:

Step-by-step explanation:

∠K = ∠c

∠K = 3x - 5

∠K + ∠M + ∠L = 180 {angle sum property of triangle}

3x -5  + 40 + 2x = 180

3x + 2x - 5 + 40 = 180

  5x + 35 = 180

         5x = 180 - 35

         5x = 145

           x = 145/5

x = 29

f(x) = -x^2-3x
find f (10)

Answers

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    f*(x)-(-x^2-3*x)=0  

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  fx + x2 + 3x  =   x • (f + x + 3)  

Equation at the end of step

2

:

 x • (f + x + 3)  = 0  

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    x = 0  

 Solution is  x = 0

Equation of a Straight Line

3.3     Solve   f+x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  f+x+3  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000

 f-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -3/1  = -3.00000  

Calculate the Slope :

Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -2.000/2.000 = -1.000  

Geometric figure: Straight Line

 Slope = -2.000/2.000 = -1.000

 x-intercept = -3/1 = -3.00000

 f-intercept = -3/1 = -3.00000

x = 0

Can y’all please help me I don’t get it

Answers

Answer:

C- 10+x=14

Step-by-step explanation:

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