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

Answers

Answer 1

Answer:

well the sequence is the perfect squares

Step-by-step explanation:

Answer 2

Answer:

[tex]a_{n}[/tex] = (n + 1)²

Step-by-step explanation:

The sequence of square numbers is

n    |    1      2      3     4     5     6

n² |    1      4       9   16    25    36

Given

4  , 9,  16,  25,  36 ← moved 1 place to the right

Thus

4 = (1 + 1)²  , 9 = (2 + 1)² ,  16 = (3 + 1)² , etc

In general the n th term is

[tex]a_{n}[/tex] = (n + 1)²


Related Questions

Evaluate 15 + |-3| - 4 22 14 8

Answers

Answer:

14

Step-by-step explanation:

absolute value is the distance away from 0, so the absolute value of -3 is 3. 15 + 3 = 18. 18 - 4 = 14.

Answer:

-422130

Step-by-step explanation:

Which expression is rational?

6.27316543222718...
square root of 2
square root of 14.
square root of 49

Answers

i believe its √49.

Explanation:

the square root of 49 is 7, and 7 is a rational number

Find all real square roots of 25

Answers

Answer:

All real square roots of 25 is +5 and -5.

Step-by-step explanation:

When you square root something, you take the positive and negative of the number, so the square root of 25 would be 5 and -5.

When you do 5 times 5, you get 25 and when you do -5 times -5, you get 25 as well, this is why we do the negative as well.

#teamtrees #WAP (Water And Plant)

It is found that all the real square roots of 25 are 5 and -5.

How to find the closest integer less than and greater than the square root of a number?

The function is strictly increasing function for x ≥ 0.

Assuming that all the values of x are ≥ 1, whenever there is increment in the value of 'x', the value of y increases too Perfect square are those integers whose square root is an integer. Let x-a be the closest perfect square less than x, and let x+b be the closest perfect square more than x, then we get: x-a < x < x+b (no perfect square in between x-a and x+b, except possibly x itself).

When we do square root of something, we take the positive and negative of the number, so the square root of 25 would be 5 and -5.

When we do 5 times 5, we will get 25 and when we do -5 times -5, we will get 25 as well, this is why we do the negative as well.

Hence, all the real square roots of 25 are 5 and -5.

Learn more about square root here:

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- Which expression is equivalent to 2(3x + 4)(x - 1)(x-3)? *

Answers

Answer: 6x^3−16x^2−14x+24 is your answer

have a good day

Yours,

Nathaniel

Step-by-step explanation:

The expression 2(3x + 4)(x - 1)(x-3) is equivalent to the expression 6x³ - 16x² - 14x + 24 option (A) is correct.

What is an expression?

It is defined as the combination of constants and variables with mathematical operators.

It is given that:

The expression is:

= 2(3x + 4)(x - 1)(x-3)

After the multiplication of the polynomial:

= 2(3x² + x - 4)(x - 3)

Again multiplication:

= 2(3x³ - 8x² - 7x + 12)

= 6x³ - 16x² - 14x + 24

Thus, the expression 2(3x + 4)(x - 1)(x-3) is equivalent to the expression 6x³ - 16x² - 14x + 24 option (A) is correct.

Learn more about the expression here:

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Form a polynomial whose zeros and degree are given.
Zeros: 6, multiplicity 1; 3, multiplicity 2; degree 3
Type a polynomial with integer coefficients and a leading coefficient of 1 in the box below.
f(x) = (Simplify your answer.)

Answers

Answer: (x-6)(x-3)² all multiplied by 3.

Step-by-step explanation: first you will simplify (x-3)² then multiply it by (x-6). Then lastly you will multiply tha entire answer by 3 and simplify.

Hope this helped!!! :))

Please help im so confused rn :((

Answers

Answer:

7/12/14/6

7/12*1/14*1/6

1/12*1/2*1/6

1/144, should be your answer.

Answer:

1/144

Step-by-step explanation:

7/12÷14÷6=

-3x+2y=-39 and 5x+4y=21 Algebra elimination

Answers

X = 9 Y = -6

Hope this helps!!✌

The solution of the system of equations is x = 9 and y = -6.

What is the system of equations?

One or many equations having the same number of unknowns that can be solved simultaneously called as simultaneous equation. And simultaneous equation is the system of equation.

We have a system of equations,

-3x+2y = -39   {equation 1}

and 5x+4y = 21   {equation 2}

To eliminate the variable y:

Multiply by 2 to the equation 1 and subtract to the equation 2,

5x + 6x + 4y - 4y = 99

11x = 99

x = 9

And y =-6

Therefore, the solution is x = 9 and y = -6.

To learn more about the system of equation;

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Jerry and Ellen cleaned a house four $15.00 an hour. The total time they worked was 8 hours. Jerry was the lead worker and took 75% of the pay. How much did Ellen make?

Answers

Answer:

$30

Step-by-step explanation:

$15 x 8 = $120

$120 x 0.75 = 90

120 - 90 = 30

Ellen made $30

What is the value (5+6)7-3^2

Answers

Answer:

68

Step-by-step explanation:

Answer: 68

Step-by-step explanation:

(5+6)(7)−32

=(11)(7)−32

=77−32

=77−9

= 68

The quadratic x? - x = 2 has two solutions. What
is the larger of the two solutions?

Answers

I believe the 2 is the largest

3x : 8 = 7 : 2 Calculate the value of x

Answers

Answer: x = 28/3

[tex]\frac{3x}{8}=\frac{7}2} \\\\=>3x=\frac{7.8}{2}=28 \\\\=>x=\frac{28}{3}[/tex]

Step-by-step explanation:

find the y-intercept of the line on the graph.​

Answers

Answer:

2 i think

Step-by-step explanation:

I only need help with the third one​

Answers

Answer:

240

Step-by-step explanation:

12/100 X 2000

=240

the answer is 240

Answer:

$240

Step-by-step explanation:

Who’s willing to help? :)

Answers

Answer:

1- 77

2- 39

3- 50

4- 46

5- 49

6- 67

7- 29

8- 9

9- 15

10- 22

Step-by-step explanation:

P) Parentheses

E) Exponents

M) Multiplication

D) Division

A) Addition

S) Subtraction

Left to right

Twenty students went to a fast food restaurant. Everyone ordered a hamburger and a drink. Hamburgers cost $3.25 each and drinks cost $1.15 each. How much did the students spend in all?

Answers

Answer:

The total amount spent was $88.

Step-by-step explanation:

The information provided is:

Twenty students went to a fast food restaurant. Everyone ordered a hamburger and a drink. Hamburgers cost $3.25 each and drinks cost $1.15 each.

Compute the total cost as follows:

[tex]\text{Total Cost}=\$3.25\cdot \text{No. of Hamburgers}+\$1.15\cdot \text{No. of Drinks}[/tex]

                 [tex]=(\$3.25 \times 20)+(\$1.15 \times 20)\\\\=\$65+\$23\\\\=\$88[/tex]

Thus, the total amount spent was $88.

A circle has radius 25cm long. A chord of length 14cm is drawn from the center of the circle of the circle. Calculate distance between the chord and the center of the circle

Answers

Answer:

Step-by-step explanation:

r=25 cm

chord=14 cm

1/2 chord=1/2×14=7 cm

using Pythagoras theorem

d=√(25²-7²)=√(625-49)=√(576)=24 cm

Pre-cal Problem, please, help is very much appreciated!

Answers

Let y be the length of the third side. By the Pythagorean theorem,

y² + x² = 3² = 9

so that

y = √(9 - x²)

(taking the positive root because one expects length to be positive)

Then by the definitions of sine, cosine, and tangent, we have

sin(θ) = x / 3   →   θ = sin⁻¹(x / 3)

cos(θ) = √(9 - x²) / 3   →   θ = cos⁻¹(√(9 - x²) / 3)

tan(θ) = x / √(9 - x²)   →   θ = tan⁻¹(x / √(9 - x²))

Can you pls help me

What is g(-1)

Answers

Answer:

It'd be -g

Step-by-step explanation:

If you were to multiply g and -1, it'd be -g since a positive time a negative is negative.

But I'm not sure if you're talking about the g in functions. I haven't learned that yet, so sorry if my answer was not what you're looking for.

Solve for x and y-intercepts and show the work! Im on a timed test!

2x - 3y = 12

Answers

Answer:

Equation: y=2/3x-4

y intercept is (0,-4)

x intercept is (6, 0)

Step-by-step explanation:

Answer:

x=3/2y+6

y=2/3x-4

Step-by-step explanation:

To find Y

divide both sides with -3

-3y=-2x+12/:-3

y=2/3x-4

to find x

2x=3y+12

divide both sides with 2

2x=3y+12/:2

x=3/2y+6

Hope this helped :)

Plz help this will fix my grade

Answers

1) 5 x -8y= -40y
2) 5 x -9 = -45

Find the slope of the line -7,-4 and -7,-2

Answers

Answer:

slope - x=-7

Step-by-step explanation:

Slope: (y2-y1)/(x2-x1)
(-2+4)/(-7+7) = -2/0 = undefined

1.
Without finding the squares of the numbers,
find the ones place digit for the squares of
the following numbers.
(a) 38
(b) 65
(c) 490
(d) 34​

Answers

490 is the answer I looked it up :) hope it helps

Which of the following expressions is equivalent to -6-(-3)? Select all that apply. Justify your reasoning.
3-6
-6+3
-6-3
3+(-6)

Answers

3-6
-6+3
3+(-6)
Because they all equal to -3

Write 3 numbers between 1.15 and 1.16 that equal 1.15 when rounded to the nearest hundredth

Answers

Answer- 1.159, 1.157, 1.156.

Answer this question for me pls. :)

Answers

-8, 3 Do you need me to explain

70% of Ms. Miller's class passed the test on the first try. Those who failed were able to retake and half of those students passed on their second try. If there are 20 students in the class, what overall percentage passed the test?

Answers

Answer:

85%

Step-by-step explanation:

Calculate how many students passed on their first try. 20 x 70% is 14, so 14 students passed on their first try. 6 students retook the test. Half of 6 is 3. Add 3 to the 14 students that passed earlier.Calculate the percent with the equation 17/20 = 0.85. 0.85 = 85%.

Please help me! ASAP
11
10
9
8
7
6
5
4
3
2
1
1 2 3
4
5 6 7 8 9 10 11
A.
B. 8
C. 4
D. 3

Answers

Answer:

Here

Step-by-step explanation:

C.4

Each time you go up 4 over 1

so it would be 4/1=4

What system of inequalities is shown in the graph?


A. x 2x + 3


B. x 3x + 2


C. x ≤ −1 and y ≤ −0.4x + 2


D. x ≤ −1 and y ≤ −2x + 2

Answers

Answer:

Step-by-step explanation:

x ≤ −1 and y ≤ −0.4x + 2

Find the value of x.

Answers

Answer:

x = 5/3

Step-by-step explanation:

4x= x + 5

3x=5

x = 5/3

How do I solve 8x+5y=-20 ?

Answers

Answer: y=-8/5x-4

Step-by-step explanation:

8x+5y=-20

-8x         -8x

5y=-8x-20

/5     /5

y=-8/5x-4

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