nth term of a sequence is n(n+1) what term is 240? is 55 a term in the sequence?​

Answers

Answer 1

Answer:

            a₁₅ = 240            55 is not term in the sequence  

Step-by-step explanation:

[tex]n(n+1)=240\\\\n^2+n-240=0\\\\n=\dfrac{-1\pm\sqrt{1-4(-240)}}{2}=\dfrac{-1\pm\sqrt{1+960}}{2}=\dfrac{-1\pm31}{2}\quad\wedge\quad n\in N_+\\\\n=15[/tex]

if n is even number then (n+1) is odd number and if n is odd number then (n+1) is even number

The product of numbers where one of them is even will always be even.

55 is odd number so it is not term of this sequence.


Related Questions

Find the value of the missing angle

Answers

Answer:

130 degrees.... I am pretty sure

Cus angles of a triangle add to 180 and so the inside angle is 130 and they are vertical angles so they are the same right? right?

Step-by-step explanation:

Answer:

130 degrees

Step-by-step explanation:

I first came up with the equation 30+20+?=180 (I got 180 because every angle in a triangle added up is 180), then added the 30 and 20 to get 50+?=180. I subtracted 50 from both sides and got ?=130. I know that the angle on the inside and the outside are equal because it seems like a reflection, so if the inside angle is 130 the outside angle is 130 degrees too.

Hope this helps you :)

jamie and rhyns share some money in the ratio of 2:3.jamie gets 40 pounds. how much does rhys get.

Answers

Answer:

60 pounds

Step-by-step explanation:

The ratio of Jamie to Rhys is 2 to 3.

Jamie gets 40 pounds.

40 pounds is 20 times 2, so Rhys also has to get 20 times the amount in the ratio.

20 * 3 = 60

Answer: 60 pounds

4. Find the slope of the line through the
points A(8,7) and B(5,-2).
Explanation:

Answers

Answer:

Slope equals to 3

Step-by-step explanation:

-2-7=-9 over 5-8=-3. You then divide the 9 by 3 and because they are both negative they equal a positive.

Choose the most appropriate name for the function described below.
the speed of a computer depends on the amount of memory.

Answers

Answer:

i believe the answer is...C

Step-by-step explanation:speed(memory) or s(m)

Step-by-step explanation:

Dependent variable states that  a variable whose value dependent upon the dependent variable.

For example:

x is the independent variable and f(x) is the dependent variable

Given the statement:

The speed of a computer depends on the amount of memory.

Let m represents the amount of memory and s represents the speed of a computer.

m = Independent variable

s(m) = Dependent variable on m

Then

Answer:speed (memory), or s(m)

Step-by-step explanation:

Please i need help, plz help me

Answers

The magical answer that you are looking for is D.

Mr Roman drove from his hometown to another city. He used 12 1/4 gallons of gas for 318 1/2 mile trip. On average, how many miles did Mr. Roman travel per gallon of gas

Answers

Answer: 26 miles

Step-by-step explanation:

Gallons of gas used = 12 1/4 = 12.25

Distance of the trip = 318 1/2 = 318.5 miles

The miles that Mr. Roman travel per gallon of gas will be:

= Distance of the trip / Gallons of gas used

= 318.5/12.25

= 26 miles

Mr Roman travelled 26 miles per gallon of gas

Pls answer soon lol.
................................................
(95)×(3×10^4 )

Answers

Answer:

2.85 × 10^6

Step-by-step explanation:

Answer:

2850000

Step-by-step explanation:

PLEASE HELP ITS EASY MATH
Workers install 600 chairs at a constant rate. After 4 days, the workers still have to install 360 chairs. How much time does it take to install the chairs from start to finish?

Answers

Answer:

10

Step-by-step explanation:

Acc to question, the workers have installed 240 chairs in 4 days which equals 60 chairs in 1 day.

So the will require 600 /60 =10 days from the start.

Wassup peeps!!! I need help cuz im kinda stupid.
A line that includes the points (10,–3) and (9,t) has a slope of –7. What is the value of t?
Pls, help me?

Answers

So subtract the Ys and subtract the Xs , then divide the answer you got for y over the answer you got for x. -3-t/10-9= -7, that simplifies to -3-t/1=-7 or -3-t=-7, from there you can add 3 to both sides to get -t=-4, which is the same as t=4. Plug it in to see if it’s makes sense . Hope this helps ; )

81a + (- 18)
how do you factor the expression

Answers

Answer:

9(9a-2)

Step-by-step explanation:

81a + (-18)

= 81a - 18

= 9 (9a - 2)

Answer:

9(9a-2)

Step-by-step explanation:

WHAT IS THE PRODUCT OF 6 NEGATIVE AND 12 POSITIVE
INTEGERS

Answers

Answer:

-72

Step-by-step explanation:

-6*+12=-72

because - x + = -

Answer:

-72

Step-by-step explanation:

6×-12

-72 (because a×-a=-a)

if petrol cause $1.20 per gallon how much would 5 3/4 gallons cost

Answers

It would cost $6.90:)

Answer:

$6.90

Step-by-step explanation:

1.20 x (5 3/4) = 6.9

Work out the area of the shape drawn below.
Give your answer correct to 2 decimal places.

Answers

Answer:

39.27

Step-by-step explanation:

Formula: PIEr^2/2

so 5 square which is 25.

then 25 times pie which is then divided by 2

39.27

Solve the literal equation

X= (a+b+c)/(ab)

for a.

Answers

Answer:

a = (b + c)/(bx - 1)

Step-by-step explanation:

Given

x= (a+b+c)/(ab)

Solving for a

x = (a + b+ c)/(ab)abx = a + b+ cabx - a = b + ca(bx - 1) = b + ca = (b + c)/(bx - 1)

I'm dumb, please help me.

Answers

75% buddy hope this help :)

Answer:

3/4

Step-by-step explanation:

15/20 is 3/4. therefore, according to the previous data, it is 3/4.

P.S. I looked at your answers and you cannot just spam random answers. thats rude and it violated the honor code. how would you feel if you posted a question and the answer was just random letters. and then you failed your test. thats not nice. and you are on canvas, because i use it too, and i know what it looks like. you cannot cheat on a test, as this is not what Brainly is for. im just so dissapointed because you disrespect others.

Plz help!! Ty


A (2-7)
B. (1-6)
C. (5,0)
D. (0,-7.5)

Answers

Answer:

i have a feeling it is C because the lines intersect at (5,0)

ILL GIVE BRAINLIEST + 3O POINTS
Estimate the value of each square root by finding a whole number greater than and a whole number less than the square root
√ 15
√ 24
√ 7
√ 48
√ 83
√ 105

Answers

Answer:

i guess you have to find square root of every number

like of 15 is 3,87 therefore higher than it is 4 and less than it 3

Answer:

4 and 35 and 43 and 27 and 610 and 911 and 10

Step-By-Step Explanation: (Rounded to nearest hundred)

Square Root 15 = 3.87; rounded up: 4, rounded down: 3Square Root 24 = 4.90; rounded up: 5, rounded down: 4Square Root 7 = 2.65; rounded up: 3, rounded down : 2Square Root 48 = 6.93; rounded up: 7, rounded down: 6Square Root 83 = 9.10; rounded up: 10, rounded down: 9Square Root 105 = 10.24; rounded up: 11, rounded down: 10

A 40-degree angle is translated 5 inches along a vector. What is the angle measurement, in degrees, of the Image?

Answers

Answer:

40°

Step-by-step explanation:

As clarified in an online document, a translation along a vector (which is a line in a plane) of a figure, is equivalent to a translation along a coordinate grid, and therefore, given that a translation is a form of rigid transformation, the the dimensions and inclinations of the rays forming the preimage are the same as those in the image and the angles measurement in the preimage and the image are equal.

Therefore, given that the angle measurement of the image is 40-degrees, the angle measurement of the image is also 40-degree (40°) angle.

is a 4 sided polygon a rectangle

Answers

Answer: A rectangle is a 4-sided polygon where all four of its angles are right angles. Normally, the longer side is called the length and the shorter side is called the width. If all the sides are of equal length then it will be called a square. Area of rectangle = length × width.

Exlpination: A polygon is a closed figure with three or more straight sides. For example, a triangle is a polygon with three sides, a rectangle is a polygon with four sides, and a pentagon is a polygon with five sides.

Answer:

its a rectangle yea have a nice time

2x-y=1
x-y=-2
......................................

Answers

Answer:

y=5 x=3

Step-by-step explanation:

x-y=-2 move the y over to isolate x

x=-2+y Now plug that in for x in the first equation

2(-2+y)-y=1 Distribute

-4+y=1 Add 4 on both sides

y=5

x-5=-2

x=3

A banner needs to be enlarged from its original format. The dimensions of the original are 4 cm tall by 25 cm wide.The enlarged banner needs to be at least 8 cm wide but no more than 1.4 m tall. Calculate the minimum and maximum ratios of enlargement possible.


Please help me it’s emergency please

Answers

Hope this helps you!

Solve by the substitution method.

-3x – 3y = 3

y=-5x – 17

Answers

Answer:

postive 6

Step-by-step explanation:cause negative plus a negative equals a postive

Rebecca is on the swim team. If you can swing 24 labs in six minutes how long would it take her to swim 36 laps

Answers

Answer:

9

Step-by-step explanation:

if you think bout it 24/6 is 4 and 36/9 is 4

Sam paid $131 for 4 Rodeo Concert Tickets. Each ticket cost the same amount. What was the cost of each concert ticket in dollars and cents?

what i it i need help

Answers

Answer:

$32.75 each ticket

Step-by-step explanation:

131 / 4 = $32.75 each ticket

Answer:

each ticket was $32.75

Step-by-step explanation:

You need to divide 131 by 4.

Simplify ( - bc + 3b - 4c) + (bc + 3b + 4c).

Answers

9514 1404 393

Answer:

  6b

Step-by-step explanation:

  ( - bc + 3b - 4c) + (bc + 3b + 4c) = bc(-1 +1) +b(3 +3) +c(-4 +4)

  = 0bc +6b +0c

  = 6b

hope this helps.enjoy

will give BRAINLIEST

Find the area of each circle
. Round to the nearest tenth.

Answers

Answer:

13:  312yd squared

14: 907.5 rounded up but not rounded is 907.46

Step-by-step explanation:

this is because the formula is pi*r^2  so you'd

Step by step:

1. 20yd/2= 10 to get the radius for 13

2. substitute r in the formula pi*r^2 for 10 making it pi*10^2

3. multiply 10 by itself, 10*10=100

4. multiply pi by 100, 3.14*100= 314

314yd^2 is the answer for 13

14:

1. 34ft/2=17 to get the radius for 14

2. substitute r on the formula pi*r^2 for 17 making it pi*17^2

3. multiply 17 by itself, 17*17=289

4. multiply pi by 289, 3.14*289=907.46

5. round 907.46 to the nearest tenth, 907.5

907.5ft^2 is your answer

hope this helps :)

A volleyball has a mass of 4 kg Calculate the potential energy of a volleyball that is in the air at a height of 15 m. (g = 9.8 m/s
Gravitational Potential Energy = mass x acceleration due to gravity x height
GPE = mgh
ОА
147J
B
588 J
O C60
O
D
360 J

Answers

B. 588 J

GPE = mgh
= (4)(9.8)(15)
= 588 J

Click on all of the equations that have a larger v intercept and a smaller rate of change than the function in the graph
y = $1=3 = 24+5

Answers

Answer:

y+6

Step-by-step explanation:

Write the product of 7×2×7×2×7 in exponential form

Answers

Answer:

7³ × 2²

Step-by-step explanation:

7 × 7 × 7 × 2 × 2

7³ × 2²

343 × 4

1372

Find the area of a room that has a length of 3x + 1 and a width of 2x + 3.

Answers

Answer:

6x^2+11x+3

Step-by-step explanation:

Area= Length*Width

Area= (3x+1)(2x+3)

Use method FOIL (Front,Out,In,Last)

(3x*2x)+(3x*3)+(2x*1)+(3*1)

= 6x^2+9x+2x+3

Simplify:

6x^2+11x+3

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