How do you do this question?

How Do You Do This Question?

Answers

Answer 1

Answer:

Limit = 2

Step-by-step explanation:

[tex]\sum _{n=1}^{\infty }\frac{2^n}{3^n}\\= \sum _{n=1}^{\infty \:}\left(\frac{2}{3}\right)^n\\\\= \sum _{n=0}^{\infty \:}\left(\frac{2}{3}\right)^n-\left(\frac{2}{3}\right)^0[/tex]

[tex]\sum _{n=0}^{\infty \:}\left(\frac{2}{3}\right)^n=3,\\\\= 3-\left(\frac{2}{3}\right)^0\\= 2[/tex]

In this case it does converge, as 2/3 is between 1 and 0

Answer 2

Answer:

0

Step-by-step explanation:

2ⁿ / 3ⁿ = (⅔)ⁿ

⅔ is less than 1, so as n approaches infinity, the sequence approaches 0.


Related Questions

Would someone help me to understand this math. Thank you

LINES & LINE SEGMENTS ASSIGNMENT

Plot the following points on the number line below:

A: -25 B: -17 C: -13
D: -1 E: 4 F: 11
G: 16 H: 23 I: 25



Using the points and number line from the problem above, find each of the following. The first one is done for you.
a) BD = | -17 – (-1) | = | -17 + 1 | = | -16 | = 16
b) AE
c) EF
d) GI
e) CH
f) BG
g) CF
h) AC





















Answers

Answer:

  16, 29, 7, 9, 36, 33, 24, 12

Step-by-step explanation:

The distance between two points on a number line is the magnitude of the difference between their coordinates. In general, that means you can subtract the coordinate of the left point from the coordinate of the right point to find the distance.

Here, the points are in alphabetical order on the number line, left-to-right, as are the letters in the segment names.  So you subtract the coordinate of the first point of the name from the coordinate of the last point in the name.

This is 8 simple subtraction problems.

a) D - B = -1 -(-17) = 16

b) E - A = 4 -(-25) = 29

c) F - E = 11 -4 = 7

d) I - G = 25 -16 = 9

e) H - C = 23 -(-13) = 36

f) G - B = 16 -(-17) = 33

g) F - C = 11 -(-13) = 24

h) C - A = -13 -(-25) = 12

_____

If you think of it as mileposts on a highway, it should be no surprise that the distance between milepost 4 and milepost 11 is 11 - 4 = 7 miles.

Priya’s family exchanged 250 dollars for 4,250 pesos. Priya bought a sweater for 510 pesos. How many dollars did the sweater cost?

Answers

510 pesos equals 24.12 U.S. dollars.

So Priya bought a sweater for 24.12 U.S. dollars.

which shows the best use of the associative and commutative properties to make simplifying 2/7 - 17 + 6 - 5/7 + 1 easier?

Answers

Answer:

B

Step-by-step explanation:

:)

whats 8 and 2\5 as an improper fraction

Answers

the answer is 42/5. hope this helps

it is very easy first multiply (8*2) then our ans 16

then add 16 + 5 = 21 21\5

answer 21\5

Evaluate the following expressions for m=-3 n=4 p=2.
b)p2 + mn

Answers

Answer:

-8

Step-by-step explanation:

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

4+(-12)=

-8

Answer: -3 because -7 +4 is equal to -3 and because im smart like that

i don’t understand this please help

Answers

I think the answer is No. It is not a function.

So sorry if it’s wrong

Find the domain of the function expressed by the formula: b y= 1/x −7

Answers

Answer:

All real numbers except 7

Step-by-step explanation:

Calculate the circumference of a rug having a diameter of 8ft

Answers

Answer:

C= 25.13ft

Step-by-step explanation:

To find the circumference use the formula C=2 * PI * R

we know that the diameter is 8 which means that the radius is half that amount therefore R=4

Now plug those numbers into the formula

C=2(pi)(4)

= 8(pi)

=25.13

PLEASE PLEASE HELP WILL MARK BRAINLIEST
Find the equation of the line in slope-intercept form through (−5, 6) with slope = 3

Answers

Answer:

The answer is

[tex] \huge y = 3x + 21[/tex]

Step-by-step explanation:

To find an equation of a line given the slope and a point we use the formula

[tex]y - y_1 = m(x - x_1)[/tex]

where

m is the slope

( x1 , y1) is the point

From the question the point is (−5, 6) and slope = 3

The equation of the line is

[tex]y - 6 = 3(x + 5) \\ y - 6 = 3x + 15 \\ y = 3x + 15 + 6[/tex]

We have the final answer as

[tex]y = 3x + 21[/tex]

Hope this helps you

Answer:

The answer is y=3x+21

Step-by-step explanation:

which is parallel to y=8x + 4
a. 4x + 8
b. y=12x
c. y=8x-4

Answers

Answer:

C

Step-by-step explanation:

c is parallel because the slopes are identical

Describe your thinking and the steps taken when developing an
algebraic representation for the sum of the first t terms of a
linear sequence.

Answers

Let's see what to do buddy...

_________________________________

Step (1)

Suppose we want to find the sum of numbers from 1 to n.

To do this, we use the following method.

By writing the sum of numbers from 1 to n

, Then we write the sum of numbers n to 1 below it, see :

[tex]s = 1 + 2 + 3 + ... + n[/tex]

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

Now we add the sentences of the above two phrases, peer to peer like this :

[tex]1 + n = n + 1 \\ [/tex]

[tex]2 + n - 1 = n + 1[/tex]

[tex]3 + n - 2 = n + 1[/tex]

And the others.....

So we have :

[tex]2s = ( n + 1) + (n + 1) + ... + (n + 1) \\ [/tex]

We had n numbers to sum so we have :

[tex]2s = n \times (n + 1)[/tex]

Divided the sides of the equation by 2

[tex]s = \frac{n \times (n + 1)}{2} \\ [/tex]

Remember this step I will use it again.

_________________________________

Step (2)

What does the linear sequence mean ?

The linear sequence is the sequence which any terms created by the sum of previous term with constant.

I name that constant value d.

According to above :

[tex]t(2) = t(1) + d[/tex]

And

[tex]t(3) = t(2) + d [/tex]

[tex]t(3) = t(1) + d + d[/tex]

[tex]t(3) = t(1) + 2d[/tex]

I have a question ;

[tex]3 - 1 = 2[/tex]

Is it correct ?

If it is correct we have :

[tex]t(3) = t(1) + (3 - 1)d[/tex]

WOW we found a thing ;

Put n instead of 3 :

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

_________________________________

Step (3)

Stop right here.

Let's go to find the sum of the n first terms of the linear sequence.

Do you remember what did we do in step(1) ? Of course you do.

Let's do it again.

[tex]s = t(1) + t(2) + t(3) + ... + t(n) \\ [/tex]

[tex]s = t(n) + t(n - 1) + t(n - 2) + ... + t(2) + t(1) \\ [/tex]

According to the thing what we found in step(2) we have :

[tex]s = t(1) + ( \: t(1) + d \: ) + ( \: t(1) + 2d \: ) + ... + ( \: t(1) + (n - 1)d \: ) \\ [/tex]

[tex]s = ( \: t(1) + (n - 1)d \: ) + ( \: t(1) + (n - 2)d \: ) + ... + t(1) \\ [/tex]

Sum the two above equation's terms like this:

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

And

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

And the others like this.

We had n terms so we sumed n terms.

So we have :

[tex]2s = n \times ( \: 2t(1) + (n - 1)d \: )[/tex]

Divided the sides of the equation by 2

[tex]s(n) = \frac{n}{2} \times ( \: 2t(1) + (n - 1)d \: ) \\ [/tex]

_________________________________

And we're done.

Thanks for watching buddy good luck.

♥️♥️♥️♥️♥️

Which of the following options have the same value as 20% of 45

Answers

Step-by-step explanation:

Answer:-

The question says "20% of 45 ".

So, framing it , we get:-

[tex]\tt{\dfrac{20}{100}\times 45}[/tex]

So, solving it,

[tex]\tt{\dfrac{20\times 45}{100}}[/tex]

[tex]\tt{\dfrac{900}{100}}[/tex]

[tex]\tt{9}[/tex] is the answer.

Hope it helps :)

CAN SOMEONE HELP ASAP

Answers

Answer:

a = 3, b = -4

Step-by-step explanation:

You need to combine like terms in the expression. In the end, you get 3 - 4i. That's in the form of a + bi. So a = 3 and b = -4

True or false to find the percent of a number we convert to a fraction or a decimal and then divide the number

Answers

true, when you convert to a decimal, you add a zero in the variable

7x-3x+7=3(x-4)+20 is it a one solution

Answers

if youre solving for x, x=1

Do i have to write something for E or do I leave it blank​

Answers

Answer:

blank

Step-by-step explanation:

Answer:

Blank

Step-by-step explanation:

Given m∠12 + m∠15=180°

Which lines are parallel, if any must be parallel, based on the given information?

1. c || d by the converse of the alternate interior angles theorem
2. a || b by the converse of the corresponding angles theorem
3. c || d by the converse of the same-side interior angles theorem
4. Not enough information to make a conclusion.

Answers

Answer:

the answer is choice 3

c is parallel to d by the converse of the same side interior angles theorem

Step-by-step explanation:

Answer:

3. c || d by the converse of the same-side interior angles theorem

Step-by-step explanation:

Angles 12 and 15 are same-side interior angles of lines c and d cut by transversal a.

Answer:

3. c || d by the converse of the same-side interior angles theorem

Determine if the following function is Even,Odd or neither. f(x) =4x+3​

Answers

Answer:

It is odd

Step-by-step explanation:

For example let's substitute 1 for x

f(x) = 4(1)+3

         4+3

f(x) = 7 this is odd

Let's substitute 2

f(x) = 4(2)+3

         8+3

f(x) = 11 this is odd

This means no matter what you substitute for x, it will be odd

Hope this helps!

Which of the following are factors of 12?

1 And 12

2 And 6

3 And 4

Answers

Answer:

id just learned this a month ago so i think its 2 and 6 i hope u get 100!

Step-by-step explanation:

Answer:

All three are correct.

Step-by-step explanation:

1x12 is 12, so #1 is correct.

2x6 is 12, so #2 is correct.

3x4 is 12, so #3 is correct.

What is the Reciprocal of 10/3

Answers

0.03333333333 in other words 0.03 repeating

Answer:

3/10

Step-by-step explanation:

If you flip 10/3 you get 3/10

I need help solving this problem

Answers

Answer:

18x^2 - 40x / 3

find two consecutive ODD numbers whose sum is 144.

Answers

Answer:

Smaller=x Larger=x+2

x+x+2=144

2x+2=144

2x+2-2=144-2

2x=142

2x/2=142/2

x=71

Smaller=71

Larger=73

Check: 71+73=144

Step-by-step explanation:

please mark me as the brainliest answer and please follow me for more answers to your questions.

Answer:

71 and 73

Step-by-step explanation:

First, set up an equation: let x be the smaller number, and let x+2 be the bigger one.

Then, since these two number's sum is 144, we can set up the equation x+(x+2) = 144.

Solve for x: 2x+2=144 -> 2x = 142 -> x = 71

As the smaller number is defined as x, we solved for the smaller number: 71. The bigger number is defined as x+2, so the bigger number is just going to be 2 more than the smaller number, which is 73.

Therefore, we arrive at our answers 71 and 73.

What the standard form 2.456

Answers

2.456 times 10^0. This is because 10^0 is simply 1

.2.456×10^ 11.thisis the answer

PLEASSSS PLEAS HELPPPPP Use the function f ( x ) = 2 − 5 x to fill out the table.




x f(x)

-2 ___

-1 ___

0 ___

1 ___

2 ___

Answers

Given function:

       f(x) = 2 - 5x

Table;

        x                        f(x)

        -2                         12

         -1                          7

         0                          2

          1                          -3

          2                        -8

The function is f(x) = 2 -5x

For;   x = -2;        f(x) = 2 - 5(-2)  = 12

                            f(x) = 2 - 5(-1) = 7

                            f(x) = 2 - 5(0) = 2

                            f(x) = 2 - 5(1) = -3

                            f(x) = 2 - 5(2) = -8

Answer:f(x) = 2 - 5(-2)  = 12

                           f(x) = 2 - 5(-1) = 7

                           f(x) = 2 - 5(0) = 2

                           f(x) = 2 - 5(1) = -3

                           f(x) = 2 - 5(2) = -8

The function f ( x ) = 2 − 5 x.

Plug in-  f ( 2 ) = 2 − 5x2

Simplify

Stacy goes to the county fair with her friends. The total cost of ride tickets is given by the equation c = 3.5t, where c is the total cost of tickets and t is the number of tickets. What would Stacy spend if she bought 15 tickets?

Answers

Answer:

$52.50

Step-by-step explanation:

C = 3.5t

C = 3.5 (15)

3.5 × 15 = 52.5

C = $52.50

Write a division equation to represent this model

Answers

6/8divided by 3/4 I believe i hope this is right

Answer:

see below

Step-by-step explanation:

6/8 of 8 equal parts = 6

3/4 of 4 equal parts  = 3

What is the solution to the system of equations?
3x+10y=-47
5x-7y = 40
O (1,-5)
O (1,5)
O (-1,-5)
O (-1,5)
HELPPPP

Answers

9514 1404 393

Answer:

  (1, -5)

Step-by-step explanation:

Here, it is easy to check the offered choices. We find the first one works, so our check is short.

For (x, y) = (1, -5)

  3·1 +10·(-5) = 3 -50 = -47 . . . yes

  5·1 -7·(-5) = 5 +35 = 40 . . . yes

__

Both of the intercepts in the first equation are negative, so the line will form a triangle with the axes in the 3rd quadrant. The intercepts for the second equation are negative for y and positive for x, so the line forms a triangle with the axes in the 4th quadrant. The y-intercept for the first equation is -4.7; for the second equation, it is -40/7 = -5 5/7. This means the lines must cross in the 4th quadrant.

The only offered point in the 4th quadrant is (1, -5).

Identify the solutions to (2x - 4)(x + 10) = 0

Answers

Answer:
-10,2

Solve by factoring set each equation equal to 0.
2x-4=0
X+10=0
Simplify

Answer:

x = -2

Step-by-step explanation:

2x-4+x+10=0 combine like terms

3x + 6 = 0 subtract 6 from both sides

3x = -6 divide by 3

x = -2

yavonee reads 14 pages in 28 mins, at this rate, how many pages does she read in 50 mins ​

Answers

Answer:

yavonee can read 25 pages in 50 minutes with the same rate.

Step-by-step explanation:

calcuate how may pages does yavonee read in 1 minute

14/28

= 1/2 or 0.5

0.5 * 50

= 25

In 50 minutes Yavonee can read 100 pages with a unit rate of 2 pages per minute.

What is a unitary method?

A unitary method is a mathematical way of obtaining the value of a single unit and then deriving any no. of given units by multiplying it with the single unit.

Given, Yavonee reads 14 pages in 28 mins.

∴ In 1 minute she reads (28/14) = 2 pages.

So, In 50 minutes she can read (2×50) = 100 pages.

learn more about the unitary method here :

https://brainly.com/question/28276953

#SPJ5

The distance from the floor of one level of the building to the floor of the level above it is 9 ft and 3/8 in. If the distance from the floor to the ceiling is 8 ft 2 and 1/2 in, how thick is the space between the ceiling of one floor and the floor of the level above it.​

Answers

Answer:

Hope this solution helps you

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