The nth term of a sequence is n(n - 1).

What are the first four terms?

What is the 50th term?

Is 59 a term in the sequence?

Which term is 182?
The ______ th term ​

Answers

Answer 1

Answer:

T1=0

T2=2

T3=6

T4=12

T50=2450

59 is not a term in the sequence

Step-by-step explanation:

Tn=n(n-1)

182=n2 - n

0=n2 - n - 182

0=n2-14n+13n-182

0=n(n-14)+13(n-14)

0=(n-14) (n+13)

Since n cannot be negative n is not equal to -13

Therefore,

n=14


Related Questions

A chef cooked 7 kg of mashed potatoes for a banquet. If the guests only ate 34of the amount he cooked, how much of the potatoes were eaten?

Answers

Answer:

2.38 Kg were eaten

Step-by-step explanation:

first we should divide 34 by 100

the result will be 0.34

then we multiply 0.34 x 7 Kg = 2.38 Kg

Which table represents a linear function

Answers

Answer:

The first photo

Step-by-step explanation:

Its a i think

Find the value of b. Round your answer to the nearest tenth.


The figure shows acute triangle A B C. The measure of angle B is 40 degrees. The length of side A B is 10. The length of side B C is 12. The length of side C A is b.

Answers

Answer:

Side CA = 7.8

Step-by-step explanation:

Given:

Acute angled [tex]\triangle ABC[/tex].

[tex]\angle B =40^\circ[/tex]

AB = 10

BC = 12

We can use cosine rule here to find the side AC = b

Formula for cosine rule:

[tex]cos B = \dfrac{a^{2}+c^{2}-b^{2}}{2ac}[/tex]

Where  

a is the side opposite to [tex]\angle A[/tex]

b is the side opposite to [tex]\angle B[/tex]

c is the side opposite to [tex]\angle C[/tex]

[tex]cos 40 = \dfrac{12^{2}+10^{2}-b^{2}}{2\times 12\times 10}\\\Rightarrow cos 40 = \dfrac{144+100-b^{2}}{240}\\\Rightarrow 0.77 = \dfrac{244-b^{2}}{240}\\\Rightarrow 244-b^{2} = 0.77 \times 240\\\Rightarrow 244-b^{2} = 183.85\\\Rightarrow 244-183.85 = b^{2}\\\Rightarrow b^2 = 60.15\\\Rightarrow b = 7.76[/tex]

To the nearest tenth b = 7.8

PLEASE ANSWER ASPA Using the distance formula, what is the distance of C (-4, -2) and D (3, 5)?

Answers

Answer:

Approximately 9.90 units.

Step-by-step explanation:

The distance formula is:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let (-4,-2) be x1 and y1, and (3,5) be x2 and y2.

Plug in the numbers:

[tex]d=\sqrt{(3-(-4))^2+(5-(-2))^2}[/tex]

[tex]d=\sqrt{7^2+7^2}[/tex]

[tex]d=\sqrt{2(7)^2}[/tex]

[tex]d=7\sqrt{2}[/tex]

translate into an algebraic expression: 120 is increased by d % and increased by 25% . What is the result ?

Answers

The result is number [tex]r[/tex] where:

[tex]r=(120+120\cdot\frac{d}{100})+(120+120\cdot\frac{d}{100})\cdot\frac{25}{100}[/tex]

Hope this helps.

Meline has 4 different coloured crayons and 2 different boxes. How many different ways can Meline put all 4 different crayons into 2 boxes so that each box has at least 1 crayon?

Answers

Answer:

3 different ways

Step-by-step explanation:

If Melinda has 4 different crayon and 2 different boxes and she is to put all 4 crayons into the two boxes so that each box has at least 1 crayon, this  can be achieved as follows. Note that at least one crayon must be in each box, this means no box must be left empty. Each box can take any number of crayon from 1 and above.

First box      Second box

1 crayon        3 crayons (first way)

2 crayons     2 crayons (2nd way)

3 crayons     1 crayon (3rd way)

This means that crayons can be divided into each box in 3 different ways provided that each box has at least 1 crayon.

After losing 3 baseball cards, Peter gave half of his remaining cards to Bobby. If Peter gave Bobby 9 baseball cards, how many cards did Peter start with?

Answers

Answer:

Peter started with 21 cards

Step-by-step explanation:

half of his card that gave to bobby =9

so the other half is 9

9+9=18

18+3 cards that he lost at the beginning=21

Answer:

Substitute 21 for X in the original equation YES

Substitute any number for X in the original equation NO

Bobby’s claims that x=21 is correct YES

The result of verifying Bobby's work is 9=9 YES

The result of verifying Bobby's work is 21=21 NO

Step-by-step explanation:

got right on edg

TWO MINUTES HELP MY PLEASE

Answers

Answer: C

Step-by-step explanation:

Answer:

The third one. Y= -1/2x^2 -2x -1

Step-by-step explanation:

If the computer costs $2150 and Melissa puts
$150 away each month, how long will it take her
to save enough money to buy the computer?

Answers

Answer:

14 months and 1/3 of a month

Step-by-step explanation:

We can find how many months it will take by dividing the cost by the amount she puts away each month:

2150/150 = 14.33

So, it will take her 14 and 1/3 of a month

14 months and 1/3 months

HELP ME PLEASE HELP ME HELP ME PLEASE

Answers

Answer:

    no, because the remainder is 126

Step-by-step explanation:

if x+3 is a factor, then -3 is a root of expression, and the remainder would be 0

calculating remainder:

[tex]-3(-3)^3+6(-3)^2+6(-3)+9=-3\cdot(-27)+6\cdot9-18+9=\\\\=81+54-9=126[/tex]

the length of a rectangle is twice its width, the perimeter of it is 36cm. what is the are of it

Answers

Answer: 72 cm²

Step-by-step explanation: lets take the width as x and length as 2x as length is twice the width= perimeter of rectangle is 2*(l+b)=36cm

So, 2×(2x+x)=36cm

2×3x=36cm

6x=36cm

X=36/6:6cm( width, since width was taken as x)

Length= 2x: 2×6=12cm

So area of the rectangle is( l*b):

12×6= 72cm²

Select the two values of x that are roots of this equation.
x - 5x+2=0

A. X=
5+33
B. X=
C. x=
5+ _17
2
D. x-5-3​

Answers

Answer:

A and C

x = -(√17 - 5)/2, (√17 + 5)/2

Step-by-step explanation:

Quadratic Formula: [tex]x = \frac{-b +/-\sqrt{b^2-4ac} }{2a}[/tex]

Step 1: Use quadratic formula

a = 1, b = -5, c = 2

[tex]x = \frac{5 +/-\sqrt{(-5)^2-4(1)(2)} }{2(1)}[/tex]

[tex]x = \frac{5 +/-\sqrt{25-8} }{2}[/tex]

[tex]x = \frac{5 +/-\sqrt{17} }{2}[/tex]

Find the value of x in the triangle
shown below.

Answers

Answer:

x=62

Step-by-step explanation:

In an isosceles triangle opposite sides are equal and sum of the sides is 180 degree

So, if we name them 'angle a', 'angle b' and 'angle c'

angle a= 56

a+b+c= 180

using the isosceles triangle formula b=c,

56+b+c=180

name b,c as x

56+2x=180

2x= 180-56

2x= 124

x=62

HOPE IT HELPS :)

PLEASE MARK IT THE BRAINLIEST!

The value of x in the triangle will be 62°

What is mean by Triangle?

A triangle is a three sided polygon, which has three vertices and three angles which has the sum 180 degrees.

Given that;

Two sides of triangle = 6

So, This is an isosceles triangle.

Third side of a triangle = 5.7

Now,

Since, The given triangle is an isosceles triangle.

So, It has measure of two angles = x°

And, The measure of third angle = 56°

Since, The sum of all angles of a triangle = 180°

Substitute all the value of angles, we get;

x° + x° + 56° = 180°

Solve for x as;

2x + 56 = 180

Subtract 56 both side,

2x + 56 - 56 = 180 - 56

2x = 124

Divide by 2, we get;

x = 62°

Thus, The value of x in the triangle will be 62°

Learn more about the triangle visit:

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simplify 3 x (x + 2) + 2 x ( 1 - x)​

Answers

Answer:

x+8

Step-by-step explanation:

[tex]3\times(x+2)+2\times(1-x)=\\\\3(x)+3(2)+2(1)+2(-x)=\\\\3x+6+2-2x=\\\\x+8[/tex]

Hope this helps!

Answer:

x + 8

Step-by-step explanation:

3 × (x + 2) + 2 × (1 - x)

3(x + 2) + 2(1 - x)

Expand the brackets.

3(x) + 3(2) + 2(1) + 2(-x)

Multiply the terms.

3x + 6 + 2 + -2x

Rearrange.

3x + - 2x + 6 + 2

Add like terms.

1x + 8

Sam bakes a variety of biscuits. 1/3
are peanut, 12 are raisin and the
remaining 12 were oat. How many
biscuits are baked?

Answers

Answer: 36

Step-by-step explanation:

Let the no. of biscuits be x

Peanuts will be 1/3x

So,

1/3x + 12 + 12 = x

1/3x + 24 = x

x + 72 = 3x

x-3x = -72

x = 72/2 = 36

Peanut biscuits will be 1/3 * 36 = 12

Total no. of biscuits baked were 12+12+12 = 36

Solve for g. 3/16 = (-5/4) + g

Answers

Answer:

g = 23/16

Step-by-step explanation:

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

Add 5/4 on both sides.

3/16 + 5/4 = g

Make denominators equal and add.

3/16 + 20/16 = g

23/16 = g

Solve for x 5 x + 2 = 7 x − 4 plz help me

Answers

Answer:

3

Step-by-step explanation:

5 x + 2 = 7 x − 4

7x-5x= 2+4

2x= 6

x= 3

Answer:

The value of x in this equation is 3.

Step-by-step explanation:

5x + 2 = 7x - 4

Subtract 7x from both sides of the equation.

-2x + 2 = -4

Subtract 2 from both sides of the equation.

-2x = -6

Divide by -2 on both sides of the equation.

x = 3

Un campanario tarda 4s en tocar 5 campanadas , ¿Cuanto tardara en tocar 10 campanadas?

Answers

¿Cuanto tardara en tocar 10 campanadas?

FIND 2 RATIONAL NUMBER and two irrational numbers between 0.15 and 0.16

Answers

Answer:

Rational numbers:

Any terminating decimal is a rational number.

0.151

0.152

Irrational numbers:

Pi is irrational, so when pi is divided by a rational number, the result is irrational.

pi/20.8 = 0.151038108...

pi/20.7 = 0.151767761...

How long will it take an airplane to travel 1,250 km if it is traveling at 150 km/hr ?

Answers

Answer:

[tex]\boxed{Time = 8.33 hrs}[/tex]

Step-by-step explanation:

Given:

Distance = S = 1250 km

Speed = v = 150 km/hr

Required:

Time = t = ?  hrs

Formula:

Speed = Distance / Time

Solution:

Rearranging the formula

=> Time = Distance / Speed

=> Time = 1250/150

=> Time = 8.33 hrs

11. Three men can build a wall in 10 hours. How
many men would be needed to build the wall in
7 hours?

Answers

Answer:

Man-hours to build the wall: 3 * 10 = 30

:

let m = no. of men required to do it 7.5 hrs

7.5m = 30

m = [tex]\frac{30}{7.5}[/tex]

m = 4 men to build it in 7.5 hrs

Step-by-step explanation:

15 POINTS!!!!! suppose f(x)=x find the graph of f(x+2) please include what the graph would look like

Answers

Answer:

The graph f(x+2) would make the graph go left by 2 units.

Step-by-step explanation:

Using graph transformations, adding two would make the graph go left 2 and subtracting would make it go right 2

What is the period of the function y= 3/2 cot(3/5x) +5?

A. Pi/5 units

B. 3pi/5 units

C. 2pi/3

D. 5pi/3

Answers

Answer:

D; 5pi/3 units

Step-by-step explanation:

Here, we want to find the period of the function;

y = 3/2 cot (3/5x) + 5

By definition, the period of a function is the interval between two matching points in the function.

Let’s say it is the distance between two peaks, crests, etc on a function.

To find the value of the period. We shall standardize the function.

What this means is that we shall be writing the function in the standard form.

The standard form is as follows;

f(x) = A trig(Bx -C) + D

Where trig refers to the accompanying trigonometric function in question.

Comparing this standard form with our question, we can see that;

A is 3/2

B is 3/5

C is 0

D is 5

Now for cot and tan functions, we shall need to divide pi by the absolute value of B

Thus we have; pi divided by 3/5 which gives 5pi/3 units

Answer:

D. 5pi/3, period is the distance between the repetition of a function.

Step-by-step explanation:

X=2 in standard form

Answers

Answer:

[tex]A2+By=C[/tex]

Step-by-step explanation:

Well standard form is [tex]Ax+By=C[/tex].

And we have x = 2 meaning that x is 2 so the standard is [tex]A2+By=C[/tex].

So basically if we know that x is 2 and x is in the standard for equation we can just plug it in.

So [tex]Ax+By=C[/tex]

x -> 2

So answer is [tex]A2+By=C[/tex]

2A+By=C is the standard form of X=2

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The standard form of a linear equation is Ax+By=C.

A times of x plus B times of y equal to C

A, B, and C are constants,

x and y are variables.

Standard form lets us quickly find the x- and y- intercepts.

By given x value is 2.

Now plug in the value of x in standard form of equation.

2 times of A plus B times of y equal to C

2A+By=C

Hence 2A+By=C is the standard form of X=2

To learn more on Equation:

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simplify the expression (x - 2y) + (3x + 4y)

Answers

Simplifying the expression (x - 2y) + (3x + 4y).

Work:

(x - 2y) + (3x + 4y)

Combine like terms.

x + 3x = 4x

-2y + 4y = 2y

Reform the expression.

4x + 2y

Simplified Expression: 4x + 2y.

HELP
Find the volume of the sphere in terms of Pi

Answers

Answer:

Hey there!

The volume of a sphere is 4/3pir^3

If d=5, then r=2.5,

Thus, we have 4/3(15.625)pi

20.83pi

The first choice is correct.

Hope this helps :)

Answer: num 1

Step-by-step explanation:

4/3*pi*r^3

4/3*pi*15.625

20.83*pi

hope i halped

can i get brainliest?(im trying to level up)

pls

          -Zylynn

Please answer this question now in two minutes

Answers

Answer:

A. 17.5

Step-by-step explanation:

4x+8 27

L-------------M-------------------------N

<------------------ 6x -------------------->

LM = 4x+8

MN = 27

LN = 6x

LM + MN = LN

4x+8 + 27 = 6x

35 = 2x

17.5 = x

The answer is the first option A

Here were 87 sunflowers at the flower shop in the morning. There were 56 sunflowers left at the end of the day. How many sunflowers were sold? Explain a way to solve the problem.

Answers

Answer:

31

Step-by-step explanation:

We just have to calculate 87 - 56 which is 31 so the answer is 31 sunflowers.

Answer:

31

Step-by-step explanation:

Since we know that we started with a higher number than we ended with, it is obvious that this is a subtraction problem. Then, we simply have to find the difference by subtracting 87 by 56 (87 - 56 = x). After the calculation, we see that the answer is 31 (87 - 56 = 31).

When x= 12, y= 144. (a) Express y in terms of x. (b) Find the value of y when x= 7.

Answers

Answer:

see explanation

Step-by-step explanation:

Given x = 12, y = 144

We can see that y is 12 times the value of x, thus

(a)

y = 12x

(b)

when x = 7, then

y = 12 × 7 = 84

A soccer player gets 2 points for a goal and 1 point for an assist. If the combined number of goals and assists that a player has is 24, and the total number of points that the player has is 42, which system of equations can be used to determine the number of goals and assists the player has? Assume g represents the number of goals and a represents the number of assists.

A)g + a = 24. g + 2 a = 42.
B)g + a = 24. 2 g + a = 42.
C)g + a = 42. g + 2 a = 24.
D)g + a = 42. 2 g + a = 24.

Answers

Answer:

B

Step-by-step explanation:

The soccer player has g goals and a assists.

For every goal, he/she gets 2 points and for every assist, he/she earns 1 point. This means that if we multiply g by 2, we get the number of points the player receives from g goals and if we multiply a by 1, we get the number of points the player receives from a assists.

And, that total number of points is equal to 42, so we can write:

2 * g + 1 * a = 42

2g + a = 42

Now, we understand that g and a are the number of goals and assists the player has made, and we also know that the total number of such kicks is 24, so we can write:

g + a = 24

Thus, our system is:

g + a = 24

2g + a = 42

The answer is B.

~ an aesthetics lover

Answer:

The correct answer is B. g + a = 24. 2 g + a = 42

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