find the nth term of this quadratic sequence 4 9 16 25 36

Answers

Answer 1

Answer:

        aₙ = n² + 2n + 1

Step-by-step explanation:

a₁ = 4 = 2² = (1 + 1)²

a₂ = 9 = 3² = (2 + 1)²

a₃ = 16 = 4² = (3 + 1)²

a₄ = 25 = 5² = (4 + 1)²

a₅ = 36 = 6² = (5 + 1)²

Therefore:

               aₙ = (n + 1)² = n² + 2n + 1


Related Questions

For the lengths AB, BC, and AC to equal 19, 12, and 31 respectively, what is
the value of x?

Answers

Answer:

11.

Step-by-step explanation:

Plz help me!!!
Philip rolls a standard number cube
24 times. Which is the best prediction for
the number of times he will roll a number
that is even and less than 4?
A 2
B 3
C 4
D 6

Answers

Answer:

i guess the correct answer is A. 2

Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid

Answers

Complete question :

Suppose you know that the prices paid for cars are normally distributed with a MEAN or $17,000 and a STANDARD DEVIATION of $500. Use the EMPIRICAL RULE to find the percentage of buyers who paid between 15500 and 17000

Answer:

49.85%

Step-by-step explanation:

Mean = 17000

Standard deviation = 500

Obtain the Z score, which is the number of standard deviations from the mean :

((17000 - 17000) / 500) = 0

((15500 - 17000) / 500) = - 3

-3 to 3 = (3 standard deviations)

However,

The value here is (-3 to 0) ; which is only 3 standard deviations to the left.

3 standard deviation = 99.7% (empirical rule)

Since it is only (-3 to 0) ; which is only 3 standard deviations to the left. ; the percentage will be halved

99.7% / 2 = 49.85%

Hence, percentage of buyers who paid between 15500 and 17000 is 49.85%

If a fair coin is tossed 6 times, what is the probability, to the nearest
thousandth, of getting exactly o heads?

Answers

Answer:

0

Step-by-step explanation:

the probability of getting 0 heads is not possible as either 1 side has to be a head or a tail

It cannot be none

Therefore...Probability is 0 of getting 0 heads

plz mark as brainliest

thanks

helppppppppppppppppppppp​

Answers

Answer:

1/3

Step-by-step explanation:

because the x axis or horizontal line intersex the line

Answer:

help is done...........................

sorry for the bad quality! please tell me what to fill in... thank you!

Answers

Answer: Part A: 3 (yards per second) Part B: 20 (seconds)

Step-by-step explanation:

See answer above :)

please help marking brainliest!

Answers

Answer:

B. (1, 2)

Step-by-step explanation:

In a function, each value used in as an x-coordinate can be used only once.

Values already used as x-coordinates: -3, 8, 0, -5

The answer cannot have -3, 8, 0, or 5 as an x-coordinate.

The only choice without one of those four values as an x-coordinate is (1, 2).

Answer: B. (1, 2)

Answer:

B

Step-by-step explanation:

-5 is already used

-3 is already being used

0 is already being used

Every x value can only be itself once

A compound experiment consists of drawing at random twice without replacing from a jar with 3 red, 3 white, and 2 black marbles. What is the probability of getting first a red and then a black marble? 3/32 3/28 1/4

Answers

Answer:

red

Step-by-step explanation:

simplify
rewrite the expression in the form a^n

Answers

this is the answer: a^8

PLEASE HELP I WILL GAVE BRAINIEST. How much people scored at least four goals?

Answers

The answer is 4!!!!!!

reduse this fractions 4/8 and 6/10

Answers

The answers are 1/2 and 3/5

Answer:

1/2 and 3/5

Step-by-step explanation:

I dunno how to explain this, but I hope it helps!

Can you help please, ASAP?

Answers

Q: -2,0
R: -1,4
S: 0,2

Can someone help me find the missing side and round to the nearest tenth please

Answers

Answer:

7.7

Step-by-step explanation:

SOH CAH TOA(tangent = opposite side/adjacent side)

tan (55°) = 11/x

=> x = 11/tan (55°)

=> x ≈ 7.7

Which of the following options represents the advantage of making a purchase with cash instead of a credit card?

1.The cash payment does not include interest fees.

2.If you don’t have enough money at the time you can still make the purchase.

3.You will worry less if the cash is stolen because the bank will give you your stolen cash back.

4.Cash can be used to make an electronic payment.

Answers

Answer: Its number 1 because with credit card a cash payment does have fees and with cash no.

Step-by-step explanation:

number 1 is correct

I need help : (((((((

Answers

the answer is x=-1/3

Which modified box plot represents the data set?

54, 70, 72, 74, 75, 76, 77, 81, 84, 105




Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 54 to 105. The box ranges from 60 to 89.25 with the vertical bar inside the box at 71.5.


Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 54 to 105. The box ranges from 66 to 89.25 with the vertical bar inside the box at 75.5.


Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 65 to 84. The box ranges from 70 to 78.5 with the vertical bar inside the box at 74. One dot marks above fifty-four. One dot marks above one hundred and five.


Box and whisker plot on a number line from 50 to 110 in increments of 5. The whisker ranges from 70 to 84. The box ranges from 71.5 to 81 with the vertical bar inside the box at 75.5. One dot marks above fifty-four. One dot marks above one hundred and five.

Answers

Answer:

Step-by-step explanation:

box number two


Please help me with this... figure out the missing part.

Answers

3/5 I the answer to this question!!

Plz help me out thanks

Answers

Answer:

360 cubic units

Step-by-step explanation:

height = 4 units

length = 10 units

breadth = 6 units

Volume of a cuboid = l × b × h

V = 10 × 6 × 4

V = 10 × 24

V = 240 cubic units

Now a scale factor of 1.5 units is applied to the dimensions,

new volume = 240 × 1.5 = 360

∴ New volume of the prism = 360 cubic units

Answer:

240 cubic units

Step-by-step explanation:

Find the area of the trapezoid

Answers

Answer:

1. 54ft^2 2. 48ft^2

Step-by-step explanation:

1. A=1/2h(a+b)

A= 1/2x6(10+8)

A=54

2. A=1/2x6(12+4

A=48

A loaded truck travels 14 km in 25 minutes. If the speed
remains the same, how far can it travel in 5 hours?

Answers

Answer:

Given that truck covers 14km in 25 minutes. Answer: In 5 hours distance travelled = 5(60)(14)/25 = 168 km.

Step-by-step explanation:

brainliest?

The hypotenuse of a right triangle measures 15 cm and one of its legs measures 8 cm.
Find the measure of the other leg. If necessary, round to the nearest tenth.

Answers

Use Pythagorean theorem
a^2 + b^2 = c^2
C = hypothenuse
8^2 + b^2 = 15^2
64 + b^2 = 225
b^2 = 161
b = square root 161 = 12.68

Solution: 12.7 cm

PLZZZ HELP ITS DUE AT 1:45

Answers

Answer:

a= 10 b= -13 c= -3

Step-by-step explanation:

First, you multiply 5x+1 and 2x-3

You then end up with 10x^2-13x-3 which is in ax^2+bx+c form

So, a would be 10, b would be -13, and c would be -3.

giving brainliest! show some work too tysm !

Answers

Answer:

the third choice is the answer.

Step-by-step explanation:

the chance of recieve a blue pen

= 0.008

the chance of recieve a blue tote bag

= 0.04

0.008 < 0.04

In a town of 40,000 people, it is expected 41.9% will watch the Súper bowl. How many people in the town will watch the Súper bowl

Answers

Answer:

16,7600

Step-by-step explanation:

Aneeta bought 3 3/4 kg apples and 4 1/2 kg guava. What is the total weight of fruits purchased by her?​

Answers

Answer:

8.25 kg

Step-by-step explanation:

Given that,

Weight of Apples = 3 3/4 kg

Weight of guava = 4 1/2 kg

Total weight of fruits = weight of apples + weight of guava

[tex]=3\dfrac{3}{4}+4\dfrac{1}{2}\\\\=\dfrac{15}{4}+\dfrac{9}{2}\\\\=8.25\ kg[/tex]

So, the total weight is equal to 8.25 kg.

Which expression represent the product of x3 + 2x - 1 and x4 - x3 + 3

Answers

Answer:

x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.

Step-by-step explanation:

(x3 + 2x - 1)  (x4 - x3 + 3)

= x^7 - x^6 + 3x^3 + 2x^6 - 2x^4 + 6x - x^4 + x^3 - 3

= x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.

The expression represents the product [tex]x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.[/tex]

We have given that,

[tex]x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.

[/tex][tex](x^3 + 2x - 1) (x^4 - x^3 + 3)[/tex]

What is the expression?

The expression consists of numbers and arithmetic operators.

It does not contain equality or inequality symbols.

The expression consists of unknown variables.

The expression represent the product of [tex]x^3 + 2x - 1[/tex]and [tex]x^4 - x3 + 3[/tex][tex]= x^7 - x^6 + 3x^3 + 2x^6 - 2x^4 + 6x - x^4 + x^3 - 3[/tex][tex]= x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.[/tex]

Therefore, The expression represents the product [tex]x^7 + x^6 - 3x^4 + 4x^3 + 6x - 3.[/tex]

To learn more about the expression visit:

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Which expression is equivalent to the number 144?
A. 23.32
B. 23.33
C. 24.32
D. 24.36

Answers

Answer:

d

Step-by-step explanation:

A van travelled at an average speed of 65 km/hr from town a. 35 minutes later, a car started from town A and drove along the same route as the van. if the car caught up with the van after travelling a distance of 130 km, find the average speed of the car in km/hr

Answers

The average speed of the car for the given distance is 91.97 km/hr.

What is speed and velocity?

While both speed and velocity are indicators of how quickly an object is travelling, they serve different purposes. The distance travelled in a given amount of time, independent of direction, is referred to as speed, which is the magnitude of the velocity vector. In contrast, velocity is a vector quantity that accounts for both speed and direction. It is measured in units of distance per unit of time in a particular direction and is defined as the rate of change of position of an item with regard to a frame of reference.

Given that, a car started 35 minutes later that is it started after:

35 minutes = 35/60 = 0.5833 hours

Now the distance is given as:

distance = speed x time

Now, for speed = 65 km/hr:

distance = 65t

For the car the time is (t - 0.5833) thus:

distance = speed x time

130 = speed x (t - 0.5833)

Now for speed we have:

30 = s x (t - 0.5833)

130 = st - 0.5833s

130 + 0.5833s = st

130/s + 0.5833 = t

Now, substituting the value of t in the equation of the van we have:

distance = 65t

distance = 65(130/s + 0.5833)

130/s + 0.5833 = distance/65

130/s + 0.5833 = distance/65

130/s + 0.5833 = 130/65

130/s + 0.5833 = 2

s = 91.97km/hr

Hence, the average speed of the car for the given distance is 91.97 km/hr.

Learn more about speed here:

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What is the volume, in cubic in, of a rectangular prism with a height of 11in, a width of 15in, and a length of 2in?

Answers

The formula for the volume is length x height x width. So the answer is 2 x 11 x 15 = 330cm^3

A.45
B.30
C.90
D.180
E.40
F.55
G.130
H.50

Answers

The answer is E. 40 because in all there is 180 degrees and since a right angle is 90 degrees and there was an additional 50 degrees that would add up to be 140 degrees, 180 degrees minus 140 is 40
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