The arithmetic sequence 1, 3, 5, 7, 9,. . . Represents the set of odd natural numbers. What is the explicit rule for the sequence? ak = (k - 1).

Answers

Answer 1

The explicit rule for the sequence is Tn = 2n - 1

Given the sequence 1, 3, 5, 7, 9...

The explicit formula for the nth term is expressed as:

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

a is the first term = 1

d is the common difference = 3 - 1 = 5 - 3 = 2

n is the number of terms

Substitute the given parameters into the formula to have;

[tex]T_n = 1+(n-1)(2)\\T_n=1+2n-2\\T_n=2n-1[/tex]

Hence the explicit rule for the sequence is Tn = 2n - 1

Learn more on AP here: https://brainly.com/question/24072079

Answer 2

Answer:

1st: 1+(k-1)2

2nd: 399

3rd: C

4th: 40,000


Related Questions

Which of these reasons would John not need to use in his proof

Answers

there’s no options shown on my screen, sorry, if you’re able to reupload ill gladly help

In the element above the mass number is_____ and the atomic number is _____
Blank 1?
Blank 2?

Answers

Mass number is 14

Atomic number is 6

How does simple
interest show proportional reasoning and
relate to the percent equation?

Answers

Answer:

Ratios are proportional if they represent the same relationship. One way to see if two ratios are proportional is to write them as fractions and then reduce them. If the reduced fractions are the same, your ratios are proportional.

Step-by-step explanation:

Do these pairs of values (x 3,4,6,9,and y 5,7,10,15) represent two quantities that are propertional? A. No, becuase not all of the pairs represent the same ratio. B.....

Answers

Answer:  No.

Step-by-step explanation:

The (4,7) point has a ratio of 0.5714, different than all the others at 0.6.

3 5 0.6

4 7 0.571428571

6 10 0.6

9 15 0.6

HELPPPPPPPPP
A: 5 units
B: 4 units
C: 3 units
D: 2 units

Answers

Answer:

Its 5 units why its simple X and Y is in a strait line which mean you measure it and divide it by 3.14 which is pie you get your answer.

Step-by-step explanation:

mark brain if im correct :D

What’s the answer to this plssss??

Answers

Answer:

2c²

Step-by-step explanation:

8c³d² / 4cd²

= 2 * c²

= 2c²

Do number 5 this is not a quiz

Answers

Answer:

x = 50 in.

Step-by-step explanation:

72 in. ÷ 36 in. = 2

2 x 25 in.

= 50 in.

Represent the following expressions as a power of the number a where a≠0 a^2*(a^4)^3÷a^13
100 POINTS NOW

Answers

Answer:

a

Step-by-step explanation:

[tex]a^2*(a^4)^3:a^{13}=[/tex][tex]a^2*(a^4)^3:a^{13}=\\a^{2 + 4*3-13}=[/tex][tex]a^{14-13}=[/tex][tex]a[/tex]

Answer:

the answer is just a

Step-by-step explanation:

I don't know what im doing help

Answers

Answer:

81/256

Step-by-step explanation:

3/4*3/4*3/4*3/4

first multiply the numerators (3) together, which equals 81

then multiply the denominators (4) together, which equals 256

81/256 can't be simplified further

Answer:

[tex]\frac{3^4}{4^4} =\frac{81}{256}[/tex]

Reasoning:

According to exponent law:

[tex](\frac{a}{b} )^{x} =(\frac{a^x}{b^x} )[/tex]

Now apply this to your problem.

[tex](\frac{3}{4} )^{4}[/tex]

[tex](\frac{3^4}{4^4} )[/tex]

[tex](\frac{81}{256} )[/tex]

Please help and no links

Answers

Answer:

B) y=3x

Step-by-step explanation:

2 x 3 = 6

3 x 3 = 9

4 x 3 = 12

You can find y by multiplying the x by 3. The relationship between the x and y is proportional. For example, lets say my x is 20, my y would be 60. 20 x 3 = 60.

If you are still unsure, remember constant of proportionality is k=y/x, so your constant is 3.

help me please

Explain what you would do first to simplify the expression below. Justify why, and then state the result of performing this step.

Answers

First clear the bracket of the inner fraction's numerator. This would allow you to reduce the inner fraction to lowest terms.

Given the expression

[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]

In order to simplify, note that the numerator and denominator of the fraction

[tex]\frac{(2r^2t)^3}{4t^2}[/tex]

have common factors. So, we would first remove the bracket in the numerator. This would allow us to reduce the fraction to lowest terms.

To clear the numerator's bracket, note that

[tex](2r^2t)^3=(2r^2t)\times(2r^2t)\times(2r^2t)\\=(2\times2\times2)\times(r^2\times r^2\times r^2)\times(t\times t\times t)\\=8\times r^6 \times t^3=8r^6 t^3[/tex]

that was long. The shorter way was to do the following

[tex](2r^2t)^3=2^3\times r^{2\times3}\times t^3=8r^6t^3[/tex]

so back to the original question, to simplify

[tex](\frac{(2r^2t)^3}{4t^2})^2[/tex]

we would do

[tex](\frac{(2r^2t)^3}{4t^2})^2=(\frac{2^3r^{2\times3}t^3}{4t^2})^2\\\\=(\frac{8r^6t^3}{4t^2})^2[/tex]

Now that we have removed the bracket from the numerator, we can now accomplish the step of reducing the fraction to lowest terms

[tex](\frac{8r^6t^3}{4t^2})^2=(\frac{8}{4}\times r^6\times \frac{t^3}{t^2})^2\\=(2\times r^6\times t^{3-2})^2\\=(2\times r^6\times t^1)^2\\=(2r^6t)^2[/tex]

Learn more here: https://brainly.com/question/1382660

6. Calculate the compound interest on investing $600.00 for 2 years at 7% per year.​

Answers

Answer:

686.94

Step-by-step explanation:

first year, 42 interest

second year, 44.94 interest

Total=686.94

Fully Factorise : 8x^2+6x

Answers

Answer:

2(4+3) or undefined

Step-by-step explanation:

lmk if this helped

Viviana sells handmade necklaces for $12.50 and bracelets for $10.50. On Tuesday,
she sold 24 pieces of jewelry and made $288. How many of each type of jewelry did
she sell?
x= Necklaces
y= Bracelets

Answers

Answer:

brainlest = answer

Step-by-step explanation:

2.) Functions or Not a Function? Explain?


Answers

Answer:

answer

Step-by-step explanation:

Not a function.

When x repeats, it is automatically not a function. If y repeats, it is still a function.

The answer is that it is not a function. The reason why is because if there is a repeating x, it cannot be called a function

what is the point slope equation of the line that passes through (9,-1) and has a slope of 5

Answers

Answer:

y=5x+46

Step-by-step explanation:

apply point

-1=5(9)+n

-1=45+n

n=-46

y=5x+46

Answer:

y + 1 = 5(x - 9)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b ) a point on the line

Here m = 5 and (a, b ) = (9, - 1 ) , then

y - (- 1) = 5(x - 9) , that is

y + 1 = 5(x - 9)

10000+2000003
ghsrhrs

Answers

[tex]⇒10000 + 2000003 = 2010003[/tex]

- BRAINLIEST answerer

Answer: 2010003

Step-by-step explanation: because 10000+2000003= 2010003

rewrite the expression as a single fraction 3/8 + 1/8

Answers

Answer:

Step-by-step explanation:

3/8+ 1/8 = 4/8

How to take derivative of absolute value.

Answers

The absolute value function is defined as

[tex]|x| = \begin{cases}x & \text{for }x \ge 0 \\ -x & \text{for }x < 0\end{cases}[/tex]

If x is strictly positive (x > 0), then |x| = x, and d|x|/dx = dx/dx = 1.

If x is strictly negative (x < 0), then |x| = -x, and d|x|/dx = d(-x)/dx = -1.

But if x = 0, the derivative doesn't exist!

In order for the derivative of a function f(x) to exist at x = c, the limit

[tex]\displaystyle \lim_{x\to c}\frac{f(x) - f(c)}{x-c}[/tex]

must exist. This limit does not exist for f(x) = |x| and c = 0 because the value of the limit depends on which way x approaches 0.

If x approaches 0 from below (so x < 0), we have

[tex]\displaystyle \lim_{x\to 0^-}\frac{|x|}x = \lim_{x\to0^-}-\frac xx = -1[/tex]

whereas if x approaches 0 from above (so x > 0), we have

[tex]\displaystyle \lim_{x\to 0^+}\frac{|x|}x = \lim_{x\to0^+}\frac xx = 1[/tex]

But 1 ≠ -1, so the limit and hence derivative doesn't exist at x = 0.

Putting everything together, you can define the derivative of |x| as

[tex]\dfrac{d|x|}{dx} = \begin{cases}1 & \text{for } x > 0 \\ \text{unde fined} & \text{for }x = 0 \\ -1 & \text{for }x < 0 \end{cases}[/tex]

Is -5/2 greater than 3?

Answers

Answer:

No -5/2 is not greater than three.

Step-by-step explanation:

You could solve this without doing any math. You know that a negative divided by a positive is still a negative and that negative numbers are never greater than positive numbers so therefore you got the answer. No, -5/2 is not greater than positive 3.

Answer:

No

Step-by-step explanation:

[tex]-\frac{5}{2}[/tex] is not greater than 3; it is less than 3. Positives are greater than negatives. To know if an integer is negative, you should see something like this: - in front of the number.

Positive integers don't have a plus sign in front of it because we already assume it is there.

Evaluate.
-|4ab- cl for a = -6, b = 3, and c = 2
A -74
B -70
C 70
74

Answers

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\boxed{\mathsf{-|4ab - c|}}\\\large\boxed{\mathsf{= - |4(-6)(3) - 2|}}\\\large\boxed{\mathsf{= -|(-24)(3) - 2|}}\\\large\boxed{\mathsf{= -|-72 - 2|}}\\\large\boxed{\mathsf{= - |-74|}}\\\large\boxed{\mathsf{= |-74|}}\\\\\\\\\huge\text{Therefore, your answer is: \boxed{\mathsf{Option\ A. -74}}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

~[tex]\large\boxed{\heartsuit\ \frak{Amphitrite1040:)\ }\heartsuit}[/tex]

Help please please help me

Answers

Answer:

Hi! I hope this answer helps you.

In mathematics, the vertical line test is a visual way to determine if a curve is a graph of a function or not. A function can only have one output, y, for each unique input, x.

any vertical line in the plane can intersect the graph of a function at most once.

HOW TO DO THIS

take your pencil and place it on your paper vertically (up and down direction)

move the pencil across the paper to the right

if the pencil crosses more than two points on the line it is not a function

the first problem would be a function

the second problem would be a function

the third problem would not be a function

hope this helps !!!!

2(3х + 8) = 2х - 16 + 4х

Answers

Answer: 0= -32

Step-by-step explanation:

brainliest me

Solve inequality 5x+ 3 divided by 2 > 3x+2

Answers

Step-by-step explanation:

divide 3÷2 (5x+1.5>3x+2)

move the terms (5x-3x>2-1.5)

2x>0.5

divide by 2

x=0.25

please help me out yall!!​

Answers

Answer:

c

Step-by-step explanation:

The price of a cinnamon roll is $2.00. The bakery has a sale, and all prices are 10% off. What is the sale price of the cinnamon roll

Answers

Answer: $1.80

Step-by-step explanation:

10% is 1/10. To find 1/10 of $2 we must divide it by the bottom of the fraction and times the top. 200 divided by 10 is 20 cents, times that by 1 is still 20 so, 10% = 20 cents. To find the sale price, we must subtract the discount from the original price. $2 - 20 cents is $1.80.

How much money should Annika give Susan?

Answers

Answer:

it depends on how much Annika has and if she is willing to give Susan money

Step-by-step explanation:

I could have answered properly but i do not understand the question it just states that, look below

How much money should Annika give Susan?

Petra and Robyn work part-time on weekends. The ratio of Petra's wage to
Robyn’s is 4 : 3. If they earn $210 between them, how much does each of them take
home

Answers

Step-by-step explanation:

   4    +       3 = 7

petra   robyn    total

  210     /   7          =30

wage     total

              ratio

30× 4  = $120

     Petra's part

30× 3  =  $90

      Robyn’s part

The mean test scores with standard deviations of four English classes are given below. Class Mean Standard Deviation Mrs. Jones 89 1. 9 Mrs. Rijo 82 1. 4 Mr. Phan 73 3. 4 Mrs. Scott 90 6. 1 Which statement is most likely to be true? The scores of Mrs. Scott’s class are the closest to the class mean. The scores of Mr. Phan’s class are the closest to the class mean. The scores of Mrs. Jones’s class are the closest to the class mean. The scores of Mrs. Rijo’s class are the closest to the class mean.

Answers

Answer:

Step-by-step explanation:

Answer:

its B

Step-by-step explanation:

The scores from Mrs. Rijo’s class are the closest to the class mean.

help me please I don't wanna fail his ​

Answers

D I think I have not done that in a long time
answer; c
explanation;
if 3 | 3 = 3.3, then the line must mean that the | is a decimal point.
so for 1 | 88 , the line is the decimal point so it should be 1.88.
same explanation for the rest, 2 | 025 = 2.025, 3 | 0115 = 3.0115
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