Find an explicit rule for the nth term of the sequence.

-1, -5, -25, -125, ...

Answers

Answer 1

Answer:

-(5^N)

Step-by-step explanation:

The sequence is a negated 5 to the N power

ex.) -(5^0) = -1

-(5^1) = -5

-(5^2) = -25

-(5^3) =125


Related Questions

The original price of a mountain bike was reduced by $125.

If p = the mountain bike's original price in dollars, which algebraic expression represents the reduced price?

Answers

Answer:

p-$125= reduced price

Step-by-step explanation:

reduced implies that the $125 was SUBTRACTED from the original price.

A group of students is arranging squares into layers to create a project. The first layer has 6 squares. The second layer has 12 squares. Which formula represents an arithmetic explicit formula to determine the number of squares in each layer?

f(1) = 6; f(n) = 6 + d(n − 1), n > 0
f(1) = 6; f(n) = 6 ⋅ d(n − 1), n > 0
f(1) = 6; f(n) = 6 ⋅ d(n + 1), n > 0
f(1) = 6; f(n) = 6 + d(n + 1), n > 0

Answers

Answer:

a.

f(1)=6; f(n)=6+d(n-1), n>0

Step-by-step explanation:

We are given that

First layer has squares, a=6

Second layer has squares, a2=12

We have to find  an arithmetic explicit formula to determine the number of squares in each layer.

[tex]d=a_2-a_1=12-6[/tex]

nth term of an A.P

[tex]a_n=a+(n-1)d[/tex]

Substitute the value of a

Now, we get

[tex]a_n=6+(n-1)d[/tex]

f(1)=a=6

[tex]a_n=f(n)=6+d(n-1)[/tex]

Hence, option a is correct.

a.

f(1)=6; f(n)=6+d(n-1), n>0

Answer:

f(1) = 6; f(n) = 6 + d(n − 1), n > 0

Step-by-step explanation:

I took the test on flvs and got it right.

100% Guaranteed Correct :)

, Hope this helps

Have a great day!!

In a GEOMETRIC sequence, the first term is 21 and
the common ratio is 2. Find the 15th term.

Answers

Answer:

344064

Step-by-step explanation:

hope it is well understood

Find four fractions between 1/10 and 1/8

Answers

9514 1404 393

Answer:

  5/48, 5/46, 5/44, 5/42

Step-by-step explanation:

We can choose unit fractions with denominators between 8 and 10, separated by (10-8)/5 = 0.4 units:

  1/8.4 = 5/42

  1/8.8 = 5/44

  1/9.2 = 5/46

  1/9.6 = 5/48

__

Check

1/8 = 0.1255/42 ≈ 0.1195/44 ≈ 0.1145/46 ≈ 0.1095/48 ≈ 0.1041/10 = 0.100

_____

Additional comment

There are an infinite number of such fractions. We are given unit fractions with different denominators, so it works reasonably well to choose denominators between those given. Then the trick is to convert the fraction to a ratio of integers. In this case, multiplying by (5/5) does the trick.

__

Another approach is to write the fractions with a common denominator, then choose numerators between the ones given. For example, 1/10 = 4/40, and 1/8 = 5/40, so you could write some fractions with numerators between 4 and 5. Possibilities are 4.1/40 = 41/400, 4.3/40 = 43/400, 4.7/40 = 47/400, 4.9/40 = 49/400.

What is the length of bc

Answers

Answer:

15 units

Step-by-step explanation:

If you’re trying to find out the length of a side, use Pythagorean Theorem

Pythagorean Theorem: a^2 + b^2 = c^2 where a = bc b = 8 and c = 17

a^2 + 8^2 = 17^2

a^2 + 64 = 289

a^2 = 289 - 64

a^2 = 225

Square rt 225 = 15

Therefore bc = 15

The shaded area in the distribution below represents approximately 95% of the data. Use the diagram to find the mean and the standard deviation.

Answers

Answer:

mean = 85, standard deviation = 3.5

Step-by-step explanation:

The empirical rule states that for a normal distribution, 68% of the data falls within one standard deviation of the mean, 95% falls within two standard deviation of the mean and 99.7% falls within three standard deviation of the mean.

From the diagram since the shaded are is approximately 95% of the data. Hence 95% falls within two standard deviations of the mean.

σ = standard deviation, μ = mean

Hence; μ ± 2σ = (78, 92)

μ - 2σ = 78       (1);  

μ + 2σ = 92       (2)

Adding equation 1 and 2, gives 2μ = 170

μ = 85

μ - 2σ = 78

85- 2σ = 78

2σ = 7

σ = 3.5

i need help in this plz!!!!

Answers

Step-by-step explanation:

1) = {5(x+y)} - 2x

= 5x + 5y - 2x

= 3x + 5y

2)= {2(p×q)} + (p×q)

= (2p×2q)+ p×q

= 4pq + pq

= 5pq

3)= 6a + (8b + 2a)

= 8a + 8b

= 8(a+b)

4)= 3x² + ( x²+7x)

= 4x² + 7x

= x(4x+7)

Answer:

Step-by-step explanation:

72) 5*(x +y) - 2x

  = 5x + 5y - 2x  {Distributive property}

  = (5x - 2x) + 5y    {Combine like terms}

  = 3x + 5y

73) 2*(pq) + pq

   = 2pq + pq     {Combine like terms}

   = 3pq

74) 6a + (8b + 2a)

     = 6a + 2a + 8b   {Combine like terms}

    = 8a + 8b

75) 3*x² + (x² + 7x)

   = 3x² + x² + 7x   {Combine like terms}

   = 4x² + 7x

The following dot plot represents two data sets, A and B.

The mean of set B is about ______ (40, 50, 30) higher than the means of set A, which is about _______ (half, twice, the same as) the mean absolute deviation of either set.

Answers

Answer:

30, half

Step-by-step explanation:

mean of A = (10*5+7*20+2*30+40+4*50+80)/20 = 28.5

mean of B = (2*20+40+5*50+3*60+8*70+80)/20 =57.5

difference =57.5-28.5 =29

mean absolute deviation = (the sum of every data point - mean)/total number

in this case,

MAD = 304/20 = 15.2

Answer:

30 , twice

Step-by-step explanation:

i just did the lesson and got it right

t

Look at the figure. Which surface of the figure is represented by plane EFHG?

the right side
the back
the top
the bottom

Answers

Answer is I need the picture please to figure out

Anyone know the answer ?? Please, appreciate it

Answers

Answer:

D

Step-by-step explanation:

Given m|n, find the value of x.
t
(x-1)
(8x-14)
Answer:
Submit Answer
attempt 1 out of 2
Privacy Policy Terms of Service
Plssssss help

Answers

Answer:

x=13

Step-by-step explanation:

These are corresponding angle and corresponding angles are equal

7x-1 = 8x-14

Subtract 7x from each side

7x-1-7x = 8x-14-7x

-1 = x-14

Add 14 to each side

-1+14 = x-14+14

13 =x

247 divided by 7
[tex]247 \div 7[/tex]

Answers

Answer:

247/7 = 35 2/7

247/7 = 35 reminder 2

247/7 = 35.2857142857...

Step-by-step explanation:

             35      

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

   7    |   247

             21

          -----------

               37

               35

             ---------

                 2

247/7 = 35 2/7

247/7 = 35 reminder 2

247/7 = 35.2857142857...

A local store sells oranges at a price for 6 fo $9.00. If Alley wants to buy 10 oranges what would the total price be?

Answers

Answer:

15$

Step-by-step explanation:

you need to check how much of e costs and you do that by dividing the price by the amount and than comes up to 1.5 that's for 1 and for 10 it's 15 hope that helps

hope this helps! feel free to clarify

Distribute and simplify the radicals below

Answers

Answer:

i think A is answer you should to do

1. If the value of a number in decimal system is 955, find its value in quinary system and in binary system.​

Answers

Answer:

Quinary - 12310

Binary -  1110111011

Answer:

Quinary= (12310)5

Binary=(1110111011)2

Sara had 97 dollars to spend on 6 books. After
buying them she had 13 dollars. How much did each book cost ?

Answers

The answer is 19 6×13 It’s 78-97 you get 19

Based on the graph, how many calories will Colin burn if he walks 3 mi.?

A. 300 calories
B. 550 calories
C. 750 calories
D. 900 calories

Answers

300,000 calories are in 300 kilo-calories.

Line K has a slope of -3/4. If the slope of of lines that are perpendicular to each other are opposite reciprocals, what is the slope of a line perpendicular to line k?

Answers

Answer:

+4/3

Step-by-step explanation:

-3/4 * -1 = 3/4 then flip it to 4/3

Answer:

4/3

Step-by-step explanation:

the slope of a perpedicular line is the inverse times negative one.

1)the inverse of -3/4 is -4/3

2)-4/3*-1 is 4/3

Please help me with this I really need help (ಥ_ಥ)

Answers

Answer:

i can help you i know this question

Which set of fractions is ordered from least to greatest?

Answers

Answer:

The answer is 7/12 , 6/8 , 4/5 from least to greatest.

Answer

7/12, 6/8, 4/5

Which equation represents the graphed function?
.
10.30
O y=-3+3
O y=3x-3
O y = 3x - 2 / 2
O ya **+3
19T

Answers

All of our equations are in slope-intercept form. Slope-intercept form is y=mx+b. m stands for the slope, and b stands for the y-intercept. Our y-intercept is 3. Therefore, we can eliminate the equations that say the y-intercept isn’t b. Next, we can find the slope. We have the points (0, 3) and (3, 2). The formula for slope is y2-y1/x2-x1. 2-3 is -1, 3-0 is 3. Our slope is -1/3. After eliminating those without the y-intercept, we have A or D. We know that the slope is -1/3, so the answer must be D.

line l is parallel to line m, if the measure of <6 is 75° what is the measure of <4?

Answers

Answer:

∠4 = 75°

Step-by-step explanation:

Alternate interior angles are equal.

∠6 and ∠4 are alternate interior angles.

∠6 = ∠4 = 75°

Step-by-step explanation:

l is parallel to m so angle 4=angle 6=75

HELP PLSSSSS ON KHAN ACADEMY

Answers

[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]

See this attachment

help plz, thanks!
2x + 6 = 4x - 2

Answers

Step-by-step explanation:

here's the answer to your question about

Answer:

2x + 6 = 4x + -2

6 + 2x = 4x + -2

6 + 2x = -2 + 4x

Add -4x to both sides

6 + 2x + -4x = -2 + 4x + -4x

Combine like terms

6 + -2x = -2 + 4x + -4x

6 + -2x = -2 + 0

6 + -2x = -2

add -6 to both sides

6 + -6 + -2x = -2 + -6

0 + -2x = -2 + -6

-2x = -2 + -6

-2x = -8

Divide each side by -2

x = 4

OAmalOHopeO

tìm x,y nguyên tố thỏa mãn:y^2-2x^2=1

Answers

Answer:

dx/dy = y/2x

Step-by-step explanation:

-4x × dx/dy = -2y..... that's all

Does anyone know what math topic this is

Answers

Answer:

Algebra is the topic of the chapter

Find the volume of a pyramid with a square base, where the perimeter of the base is 16\text{ m}16 m and the height of the pyramid is 16.2\text{ m}16.2 m. Round your answer to the nearest tenth of a cubic meter.

Answers

Answer:

86.4 M

Step-by-step explanation:

(4 * 4 * 16.2) / 3

HELP PLEASE!!! The readings on the thermometers are normally distributed with a mean of
0° and a standard deviation of 1º. The value of PIX greater than - 1.96) is
A. 0.9750 B. 0.9970 C. 0.9950 D. 0.9850

Answers

Answer:  A. 0.9750

Explanation:

You can use a calculator or a Z table here. I'll go with the table option.

Using a Z table, you should find that P(Z < -1.96) = 0.0250

So the remaining area must be 1 - 0.0250 = 0.9750 which represents P(Z > -1.96). This is the same as P(X > -1.96) because X is distributed identical to the Z distribution (mean = 0, std dev = 1).

If you go the calculator route, then it depends on which calculator or computer software you use. If you prefer this route, then let me know which calculator you're using and I'll try to find the correct input to type in for that calculator.

what type of polynomial is p(x)=4x−2x2+3

a. quadratic
b. quartic
c. quintic
d. cubic

Answers

Answer:

a. quadratic.

The given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.

What is a polynomial?

A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.

In algebra, a polynomial function with one or more variables in which the highest-degree term is of the second degree is known as a quadratic function, a quadratic polynomial, a polynomial of degree 2, or simply a quadratic.

In the given polynomial p(x)=4x−2x²+3 it can be observed that the degree of the polynomial is 2 or the highest power of the variable is 2.

Therefore, the given polynomial p(x)=4x−2x²+3 is a quadratic polynomial. The correct option is A.

To know more about quadratic polynomials follow

https://brainly.com/question/1214333

#SPJ5

help ?? Anyone ?? Pls

Answers

SAS but i’m not sure. i’m doing this right not but each triangle shows two sides and angle so i would pick SAS
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