The formula for any geometric sequence is an = a1 · rn - 1, where a n represents the value of the n th term, a1 represents the value of the first term, r represents the common ratio, and n represents the term number. What is the formula for the sequence -3, -6, -12, -24, ...?

an = -2 · (-3) n - 1
an = 2 · (-3) n - 1
an = -3 · 2 n - 1
an = -3 · (-2) n - 1

Answers

Answer 1

Answer:

C

Step-by-step explanation:

The formula for any geometric sequence is:

[tex]a_n=a_1\cdot r^{n-1}[/tex]

Where aₙ is the value of the nth term, a₁ is the value of the first term, r represents the common ratio, and n represents the term number.

We want the formula for the geometric sequence:

-3, -6, -12, -24, ...

Note that our first term is -3. Hence, a₁ = -3.

Next, each subsequent term is twice the previous term. Hence, our common ratio r = 2.

Therefore, by substitution, we acquire:

[tex]a_n=-3\cdot (2)^{n-1}[/tex]

Our answer is C.


Related Questions

Whats 4 5/6 + 5 7/8 thank you for answering

Answers

Answer:

4 5/6 + 5 7/8= 10 17/24

Step-by-step explanation:

pretty sure I answered this exact question like minutes ago

Answer: 257/24, or 10 and 17/24.

Step-by-step explanation:

First, we need to turn the fractions into improper fractions and then find the common denominator.

4 and 5/6 = 29/6

5 and 7/8 = 47/8

The common denominator is 24. Now, we convert the fractions and add. Hope this helps!

Given the following right triangle, solve for the missing side length, r: *

29.24 m
200 m
30 m
2.5 m

Answers

Answer: 29.24 m
Ex: sin20deg = 10/r
r(sin20deg)=10
r=10/sin20deg

What is the formula for calculating Cone?​

Answers

V= πr2(the two is an exponent* h/3 (it’s a fraction)
v=(pie)r2
(i cant find the pie simbol)

Two congruent triangles are cut from a rectangle. Find the area of the shaded region round to the nearest tenth if necessary 8in 8in 6in 6in pls use 3.14 or use the formula of area thank you very much

Answers

Answer:

umm

Step-by-step explanation:

Evaluate the expression: 8 ⋅ (1/2)^2

Answers

Answer:

8 × (1/2)²

8 × 0.25

2 Answer!

Hope this helps, thank you :) !!

Answer:

Step-by-step explanation:

The answer is : 2

Simplify

I added image with explation! Hope this helps!

In a poll of students at the hockey championship, 87% of the students say that hockey is better than baseball.
(a) Explain why it is not a valid conclusion to say that hockey is more popular than baseball at the school.

Answers

Answer:

Sample Bias

Step-by-step explanation:

If you sample Hockey players on if their sport is better than baseball, chances are they will vote for their sport being better.

A psychology professor assigns letter grades on a test according to the following scheme. A: Top 9% of scores B: Scores below the top 9% and above the bottom 56% C: Scores below the top 44% and above the bottom 20% D: Scores below the top 80% and above the bottom 6% F: Bottom 6% of scores Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4. Find the numerical limits for a D grade. Round your answers to the nearest whole number, if necessary.

Answers

Answer:

You get a D if you have a grade between 66 and 72.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Scores on the test are normally distributed with a mean of 79.3 and a standard deviation of 8.4.

This means that [tex]\mu = 79.3, \sigma = 8.4[/tex]

D: Scores below the top 80% and above the bottom 6%

So between the 6th and the 20th percentile.

6th percentile:

X when Z has a pvalue of 0.06. So X when Z = -1.555.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-1.555 = \frac{X - 79.3}{8.4}[/tex]

[tex]X - 79.3 = -1.555*8.4[/tex]

[tex]X = 66.2[/tex]

Rounds to 66

20th percentile:

X when Z has a pvalue of 0.2. So X when Z = -0.84.

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]-0.84 = \frac{X - 79.3}{8.4}[/tex]

[tex]X - 79.3 = -0.84*8.4[/tex]

[tex]X = 72.2[/tex]

Rounds to 72

You get a D if you have a grade between 66 and 72.

Is the sum of the
angle measures always equal to the
sum of the arc measures


Yes or no ?

Answers

Answer
Yes


Explanation
I just know

42/2 +9=???

what is the answer and how do you find the answer?!

Answers

42/2 is 21 then add 9 you’d get 30 as your final solution.

11 and 3/8 pounds of cat food were donated to the shelter

Answers

is that all there is to the sentence

what fraction is 15 minutes of 1 hour explain also​

Answers

Answer:

1/4

Step-by-step explanation:

15+15+15+15= 60

i hope this helps

Answer:

The answer is 1/4

Step-by-step explanation:

1 hour = 60 minutes

Therefore;

Fraction of 15 minutes with respect to 1 hour is;

15 minutes/ 1 hour

=15 minutes/60 minutes

=1/4

Therefore the answer is 1/4

Hope this helps.

The two figures shown are congruent. Which statement is true?



One figure is a translation image of the other.

One figure is a rotation image of the other.

Neither figure is a translation or rotation image of the other.

Answers

9514 1404 393

Answer:

  (b) One figure is a rotation image of the other

Step-by-step explanation:

The axis of symmetry is horizontal for the left figure, and vertical for the right figure. The right figure has been rotated 90° CW from the left figure.

Help me plz and thank u

Answers

Answer:

18

Step-by-step explanation:

triangle formula = b x h /2

half of 8/2= 4

9 x 4= 36

36/2= 18

Francine can ride 16 miles on her bicycle in 45 minutes. At this speed, how many minutes would it take Francine to ride 60 miles?

Answers

Answer:

2000 minutes on 16 miles

Answer:

168.75 minutes

Step-by-step explanation:

Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.

Recalling that distance = speed times time, we recognize that

time = distance / speed

which here is  

(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec

5. What are the values of x and y? Be sure to show your work.
helpppp plz hurry

Answers

Answer:

x=35 y=72.5

Step-by-step explanation:

x is equal to 35 because they are vertical angles. y is equal to 72.5 because if you use the equation y + y + 35 = 180 and subtract 35 then divide 145 by 2, you would get 72.5

PLEASE ANSWER ASAP FOR BRAINLEST!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

268

Step-by-step explanation:

what is the measurement of jkl​

Answers

Answer:

The angles combined together are 200, so you will have to subtract the difference of 200 and 180 from the combined angles. The angle of line JKL is 160 degrees.

Step-by-step explanation:

Please mark as brainliest!

Answer:

The measure of angle JKL is 97 degrees.

Step-by-step explanation:

PLS HELPPP
What value of x would make the following relation a function?
{(-3,-2),(2,3),(3,2),(x,2)}

A. -3
B. -2
C. 2
D. 3

Answers

A........................................

The slope of a linear function is 1/5. For every rise of 5 units, what is the run?

Answers

Answer:

for every rise of 1 the run would be 25

You are selling lemonade. You find that if you set the price at $2.00 per cup, you sell 14 cups over the
course of a day. You also notice that for every $0.10 you decrease the price by, you sell 3 more cups over
the course of the day. Come up with a linear equation to model this situation.

Answers

Step-by-step explanation:

$2.00x-($.10x)=3+x

the x would stand for cups and since you already get 3 more cups in a day than before then you would put 3+x_how many cups you sell. the $2.00 is for how much money each up is. and the -$.10 is subtracting 10 cents for each cup you sell.

I dont know if this is correct but this is how I would make my equation

Find the accumulated value of an investment of $1710 at 5% compounded annually for 20 years.
A) $4321.08
B) $3334.50
C) $3420.00
D) $4537.14

Answers

Answer:

D

1710(1+0.05)²⁰=4537.14

(1 p 18. Demarcus drew a pair of complementary angles. He drew one angle that had a measure of 48º. What was the measure of the other angle he drew? 42° 48° O 132° O 138°​

Answers

Answer: 42

Step-by-step explanation:

Complementary angles are angles in which the sums equal 90.

90 - 48 = 42.

If the area of a rectangle is (15x2 - 16x - 15) square feet, and its length is (3x - 5) feet, find its width

Answers

Answer:

255

Step-by-step explanation:

(15x2 - 16x - 15) = 270

(3- 5) = -15

 270

-  -15

= 255

The breadth of the rectangle is (-5x-3).

Area of rectangle

The area of a rectangle is given as the product of its length to its breadth.

[tex]\rm{Area\ of\ Rectangle = Length \times breadth\\[/tex]

Given to us

area of a rectangle = (15x2 - 16x - 15)

length = (3x - 5)

Width

[tex]Area\ of\ Rectangle = Length \times breadth\\(15x^2-16x-15)=(3x-5)\times breadth\\\\(3x-5)\times breadth=(15x^2-16x-15)\\\\breadth = \dfrac{(15x^2-16x-15)}{(3x-5)}\\\\breadth = (-5x-3)[/tex]

Hence, the breadth of the rectangle is (-5x-3).

Learn more about Rectangles:

https://brainly.com/question/10046743

Madeline sells five roses on the first day, seven roses on the second day, ten on the third day, fourteen on the fourth day. If Madeline continues her selling pattern, how many roses will she sell on the tenth day? How many will she sell on the fifteenth day?​

Answers

Answer:

124, I believe

Step-by-step explanation:

each day you're adding on the amount of the day,

5,7,10,14,19,25,32,40,49,59,70,82,95,109,124

days below

(1,2,3,4,5,6,7,8,9,10,11,12,13,14,15)

5 on day 1

5+2=7 day 2

7+3=10 day 3

and so on

Factor 6x4 – 5x2 + 12x2 – 10 by grouping. What is the resulting expression?

(6x + 5)(x2 – 2)
(6x – 5)(x2 + 2)
(6x2 + 5)(x2 – 2)
(6x2 – 5)(x2 + 2)

Answers

Answer:

(6x2 - 5)(x2 + 2)

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Matthew has a shipping carton in the shape of a right rectangular prism. The volume of the shipping carton is 11. cubic meters. The
height of the shipping carton is 7 meters and the width is 2 meters.
What is the length of Matthew's shipping carton?
fraction in simplest form in the box

Answers

Answer:

Height = 0.7857 m = 13/16 m

Step-by-step explanation:

Height x 7 x 2 = 11

Height = 0.7857 m = 13/16 m

Individual bottles of water are filled by a machine at a factory with an amount of water that is approximately normal with a mean of 505\,\text{mL}505mL505, start text, m, L, end text and a standard deviation of 10\,\text{mL}10mL10, start text, m, L, end text. A random sample of 161616 bottles is selected for a quality inspection. What is the probability that the mean amount of water in these 161616 bottles \bar x x ˉ x, with, \bar, on top is within 5\,\text{mL}5mL5, start text, m, L, end text of the population mean?

Answers

Answer:

P(500<  xˉ <510)≈0.95

Step-by-step explanation:

Khan Academy

I need help with this question !!​

Answers

Answer:

Step-by-step explanation:

Yes, A-A-A

A child care center has three rooms, and the same number of children are in each room. If c children attend the center, write an algebraic expression that represents the number of children in each room.

Answers

Answer:

Number of children in each room = c / 3

Step-by-step explanation:

Given:

Number of rooms in care center = 3

Number of children attend the center = c

Find:

Number of children in each room

Computation:

Number of children in each room = Number of children attend the center / Number of rooms in care center

Number of children in each room = c / 3

A town has a population of 14000 and grows at 3% every year. What will be the population after 6 years, to the nearest whole number?

Answers

Answer: 1672

explanation:              add 3% from each previous year to get to the 6th year            

Answer:

16717

Step-by-step explanation:

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