Write the sum using summation notation, assuming the suggested pattern continues. 4 - 12 + 36 - 108 + ...

Answers

Answer 1

9514 1404 393

Answer:

  [tex]\displaystyle S_n=\sum_{k=1}^n{4(-3)^{k-1}}[/tex]

Step-by-step explanation:

The first term of this geometric series is 4. The common ratio is -12/4 = -3, so the general term is ...

  an = 4·(-3)^(n-1)

The sum is the sum of terms of this form.

  [tex]\displaystyle S_n=\sum_{k=1}^n{4(-3)^{k-1}}[/tex]


Related Questions

a total of 1500 raffle tickets were collected during the school fair. if you have 30 raffle tickets, what is the probability that you will win?​

Answers

Answer: 1/50 or 0.02

Step-by-step explanation:

30 / 1500 = 1/50

1/50 or 0.02

In a raffle, 200 tickets are sold.
The tickets are either red or blue.
The winning ticket is picked at random.
(a)
What is the probability that the winning ticket is green?

Answers

Answer:

0%

Step-by-step explanation:

Answer:

there is a zero percent chance that the winning ticket will be green if all of the tickets are either red or blue

Use the graph to answer the question.

On a coordinate plane, a line goes from (negative 5, 7) to (3, 3).

Which parametric equations describe the curve?


x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

x = 0.5t + 4 and y = –t + 1 when –2 ≤ t ≤ 6

x = 0.5t + 4 and y = –t + 1 when –5 ≤ t ≤ 3

Answers

The answer for this question is A:

A = x = –t + 1 and y = 0.5t + 4 when –2 ≤ t ≤ 6

The parametric equations of the curve are:

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

Parametric equation of the line:

The parametric equation of the line is, [tex]x=x_0+at,y=y_0+bt[/tex] where [tex](x_0,y_0)[/tex] is the point on the line and [tex]\frac{b}{a}[/tex] is the slope of the line with a, b are real numbers.

Slope of the line:

If (a, b) and (c, d) are any two points on the line then, slope of the line is:

m = (d - b)/(c - a)

For given situation,

a line goes from (-5, 7) to (3, 3).

Using the formula of slope, the value of m i.e., slope of the line  would be,

⇒ m = (7 - 3)/(-5 - 3)

⇒ m = 4/(-8)

⇒ m = 1/(-2)

⇒ m= 0.5/(-1)

Comparing with m = b/a,

b = 0.5 and a = -1.

From the graph of the line given below,

A point (1, 4) is also on the line.

Let [tex]\bold{(x_0,y_0)=(1,4)}[/tex]

Using the parametric equation of the line,

[tex]x=x_0+at[/tex]

⇒ x = 1 + (-1)t

x = -t + 1

and [tex]y = y_0+bt[/tex]

⇒ y = 4 + (0.5)t

y = 0.5t + 4

Therefore, the parametric equations of the curve are:

x = –t + 1 and y = 0.5t + 4 when –5 ≤ t ≤ 3

Learn more about the parametric equations here:

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How do I solve this puzzle?

Answers

Answer:

Good luck :)

Step-by-step explanation:

I don't even care atp

mum puts the chicken in the oven at 4:25 p.m. she let it bake covered for 10 minutes, then uncovered for 35 minutes more. what time will the chicken come out of the oven?

Answers

Answer:

5:10 pm

Step-by-step explanation:

The chicken will come out of the oven at 5:10 p.m. after baking covered for 10 minutes and uncovered for 35 minutes at 4:25 p.m.

Use the concept of addition defined as:

In maths, addition is the process of adding two or more numbers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum.

Given that,

Mom places the bird in the oven at 4:25 p.m.

Chicken bakes covered for 10 minutes.

Chicken bakes uncovered for 35 minutes.

The objective is to determine the time when the chicken will be taken out of the oven.

If your mom puts the chicken in the oven at 4:25 p.m. and bakes it covered for 10 minutes,

Then add 10 minutes to the initial time,

So, the chicken will be covered until 4:35 p.m.

Now, if she then bakes it uncovered for an additional 35 minutes,

Add another 35 minutes to the previous time,

This means the chicken will be cooked for a total of 45 minutes,

10 minutes covered + 35 minutes uncovered.

By adding 45 minutes to the starting time of 4:25 p.m., we find that the chicken will come out of the oven at 5:10 p.m.

Hence,

The time will be 5:10 p.m.

To learn more about the addition visit:

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(2x+3y+4z)(4x^2+9y^2+16z^2-6xy-12yz-8zx)

Answers

1.1 Factoring: 4x2+9y2+16z2-6xy-12yz-8xz

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1: -6xy-12yz
Group 2: 16z2-8xz
Group 3: 4x2+9y2

Pull out from each group separately :

Group 1: (x+2z) • (-6y)
Group 2: (x-2z) • (-8z)
Group 3: (4x2+9y2) • (1)


Looking for common sub-expressions :

Group 1: (x+2z) • (-6y)
Group 3: (4x2+9y2) • (1)
Group 2: (x-2z) • (-8z)

PLEASE HELP WILL MARK BRAINLIEST
If A = (-infinity,3) and B
then find A n B
[0,9],

Answers

Answer:

A Π B = [0,3)

be careful with the brackets :))

The average weight of a female hippopotamus is 1½ tons. How many pounds is this?

Answers

1.5 tons converted to pounds is 3000 pounds

Answer:

3000 pounds

Step-by-step explanation:

Since there are 2000 pounds in a ton, find how many pounds there are by multiplying 1.5 by 2000

1.5(2000)

= 3000

So, this is 3000 pounds

QUESTION 9 of 10: When a venture capitalist offers an entrepreneur $100,000 for shares representing 20% of a company, it is a form of:
a) Bank loan
OOOO
b) Debt financing
c) Promissory note
d) Equity financing
Submit
C2021 Knowledge Matters, Inc.
Not yet activated by instructor
Acquiring Resources

Answers

Answer:

d) Equity financing

Step-by-step explanation:

Equity financing is the process that raised the capital via selling of the shares. Here the company would raised the money so that they would be able to pay the short term payment like bills or they have the long term goals for which the funds would be needed for investing in their growth

Since in the question there is an offer of $100,000 that represent 20% of a company so this represent the equity financing

hence, the option d is correct

Answer:

Equity financing

Step-by-step explanation:

What is the volume of the rectangular prism?

Answers

Probably B lol I’m not sure but it makes a little sense because the denominator has three for both

Whats the answer????!!!!

Answers

Answer:

84in(the first one)

Step-by-step explanation:

You multiply it al together

7 x 3 x 4 = 84

What is the value of -2x3 + 5x - 7 when x = -3?

Answers

Hi!

-2x³ + 5x - 7 = -2 * (-3)³ + 5 * (-3) - 7 =

= -2 * (-27) - 15 - 7 = 54 - 22 = 32

Grettings!

How many shoes should Rick's Running Shoe Company produce in order to have a maximu
profit?

Answers

Answer:

15,000

Step-by-step explanation:

What is the range of the data below?

A box-and-whisker plot. The number line goes from 100 to 125. The whiskers range from 102 to 115, and the box ranges from 109 to 114. A line divides the box at 111.
2
5
12
13

Answers

Answer:

The range is 13 because 115-102 is 13

Step-by-step explanation:

Solve for x.
x = [?]
4x - 2/3x 14

Answers

Answer:

x = 24°

Step-by-step explanation:

Here's your solution

=> (4x - 2) + (3x + 14) = 180°

=> 7x + 12 = 180°

=> 7x = 180° - 12°

=> 7x = 168°

=> x = 168°/7

=> x = 24°

hope it helps

Kendra works 20 hours each week. So far this week she has worked 5.5 hours on Tuesday and 5.25 on Thursday. Which sentence could be used to find h. The numbers of hours remaining for Kendra to work this week A. 5.5+5.25=h+20
B. 5.5+5.25=hx20
C. h=20-(5.5+5.25)
D. h-5.5+5.25=20
E. h=20-5.5+5.25

Answers

Answer:I think C but I'm not sure seems like the more logical answer

Step-by-step explanation:

: ) let me know if it's correct

Plzz help me!!!
I will give you brainliest

Which statement is TRUE?
A)
The perimeter of the green rectangle is equal to the circumference of the
black circle.
B)
The perimeter of the green rectangle is less than the circumference of the
black circle.
C)
The perimeter of the green rectangle is greater than the circumference of
the black circle.
D)
The perimeter of the green rectangle exactly half of the circumference of
the black circle.

Answers

Answer:

Can you add a picture or visual model if there is one?

Step-by-step explanation:

Mr. Jones has fives eats on the school’s trip to Grand Canyon for his students. In how many different ways Mr. Jones can select a group of five from his class of 35?

Answers

58,905





Number of seats available for Mr. Jones had for the trip = 4
Number of students in his class = 36
Number of ways he can select a group of 4 out of 36 students from his class is calculated as follows:
=58,9,05

mmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmmoby max pls help

Answers

Answer:

5/4 or 1 1/4 or 1.25

Step-by-step explanation:

PLZ HELP ME HELP WITH THIS

Answers

9514 1404 393

Answer:

  yes

Step-by-step explanation:

A negative exponent in the numerator is the same as a positive exponent in the denominator (and vice versa). So, the first two expressions are equivalent.

An exponent is an indication of repeated multiplication. So, the 2nd and 3rd expressions are equivalent.

Any product can be decomposed to a product of its factors. So, the last two expressions are equivalent.

All of the expressions are equivalent.

You did 5 trials of push-ups in a minute with the following results:
23, 22, 23, 40, 24
If you want your personal mean to be 28, how many push-ups do you need to do on your skith trial?

Answers

Answer:

36 push-ups on your sixth trial

I would appreciate Brainliest, but no worries.

Someone help plsssss

What is the correct Order of Operations? What do you have to remember about
the Multiplication/Division & Addition/Subtraction Steps? (Total possible points =
10 points applied to Module 6) *
Your answer

Answers

Answer:

Step-by-step explanation:

First, we solve any operations inside of parentheses or brackets. Second, we solve any exponents. Third, we solve all multiplication and division from left to right. Fourth, we solve all addition and subtraction from left to right.

Solve for x.
x = [?]
4x - 2/3x 14

Answers

Answer:

x = 24

Step-by-step explanation:

Your mouse is hovering over a key part of the equation, but it looks like a plus symbol to me so I will go with that.

(4x-2) + (3x + 14) = 180 (Add 2 to 180, and subtract 14 from 180.

4x + 3x = 180 + 2 - 14

7x = 168

x = 24


determine the rational number
bethween-3 and 0 ​

Answers

Answer:

-1.5

Step-by-step explanation:

please guys help me please

Answers

Answer:

C

Step-by-step explanation:

If your answer is right I’ll mark you!

Answers

Answer:

D

Step-by-step explanation:

5 1/2= 5 2/4

5 2/4 - 1 3/4 = 3 3/4

Answer:

3 3/4

Step-by-step explanation:

5 1/2 - 1 3/4

5 2/4 - 1 3/4

22/4 - 7/4

15/4

3 3/4

How do you work out Experimental and Theorical Probability.
pls help,​

Answers

theoretical probability is based on logic as in:

there's a spinner with five equal sections. There would be a theoretical probability of 20% for each section

Experimental probability is based on results of previous experiments such as:

Damien spun that same spinner 10 times and landed on the red section 3 of ten times

How many times greater is the value of the 4 in 900,400 than the value of the 4 in 900,040 please help me faster!

Answers

Answer:

10 times plz mark brainliest

Answer:

10

Step-by-step explanation:

10×10=100. TRUST ME I DID THE MATH

(NEED HELP URGENTLY) Similarity and the Pythagorean Theorem

What is the value of x?

Enter your answer in the box.

Answers

If v to y is 22, I suppose x equals 44.

x should be 180 I think

find the volume of a cylinder whose height is 7 cm and radius is 10 cm​

Answers

Answer: [tex]700\pi \text{ cm}^{2}[/tex]

Step-by-step explanation:

[tex]V=\pi r^{2} h\\\\V=\pi(10)^{2}(7)\\\\ \boxed{V=700\pi \text{ cm}^{2}}[/tex]

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