Find a formula for the general term an of the sequence, assuming that the pattern of the first few terms continues. (Assume that n begins with 1.) 1, − 1/ 3 , 1 /9 , − 1 /27 , 1 /81 , . . .

Answers

Answer 1

9514 1404 393

Answer:

  a[n] = (-1/3)^(n -1)

Step-by-step explanation:

The terms have a common ratio of (-1/3)/(1) = -1/3. The general term for a geometric sequence with first term a1 and common ratio r is ...

  a[n] = a[1]×r^(n-1)

Here, a[1] = 1, so this is ...

  a[n] = (-1/3)^(n-1)


Related Questions

Answer plz!!! if you put a not so nice or relevent answer i will do the same...

Answers

Answer:

The answer should be B) T = 4.5n

Step-by-step explanation:

Answer:

B. T = 4.5n

Step-by-step explanation:

4.5 * n (the number of tickets sold) = T (Total money the school makes from the ticket money)

HELP ME PLEASE I WILL MARK BRAINLIEST

Answers

Massage me if it’s not clear

Hope it’s right
Best luck with your studying

a) 50

b)12/6

.......................

9. Use the formula A=bh to find the area of the
rectangle below. Substitute' the appropriate
numbers for each variable and solve to find A,
the area.
10. L
of th
appr
solv
7 ft
4.5 ft

Answers

Answer:

31.5 ft²

Step-by-step explanation:

7x4.5=31.5 ft²

A ramp slopes upward
from the sidewalk to the entrance of a
building at a constant incline. If the
ramp is 2 feet high when it is 5 feet
from the sidewalk, how high is the
ramp when it is 7 feet from the
sidewalk

Answers

Answer:

4 feet

Step-by-step explanation:

hope this helps!!

Answer:

4ft

Step-by-step explanation:

Two cars leave the same parking lot, with one heading north and the other heading east. After several minutes, the northbound car has traveled 1 mile, and the eastbound car has traveled 4 miles. Measured in a straight line, how far apart are the two cars? If necessary, round to the nearest tenth.​

Answers

Answer:

distance between two cars in a straight line = 4.12 miles

Step-by-step explanation:

The North and East make a right angle and if you make a straight line between the two cars you will make a right angled triangle.

Now we can use Pythagoras theorem to calculate the distance between two cars in a straight line.

p = 1

b = 4

h = ?

Using Pythagoras theorem

h² = p² + b²

h² = 1² + 4²

h² = 1 + 16

h² = 17

h = sqroot (17)

h = 4.12 miles

The distance between two cars is 4.12 miles.

Given that, two cars leave the same parking lot, with one heading north and the other heading east.

What is the Pythagoras theorem?

The Pythagoras theorem which is also referred to as the Pythagorean theorem explains the relationship between the three sides of a right-angled triangle. According to the Pythagoras theorem, the square of the hypotenuse is equal to the sum of the squares of the other two sides of a triangle.

The northbound car has traveled 1 mile = x=1 mile

The eastbound car has traveled 4 miles =y=4 mile

Let the distance between two cars be z

Using Pythagoras theorem, we get

z²=x²+y²

⇒ z²=1²+4²

⇒ z²=17

⇒ z=√17

⇒ z=4.12 miles

Therefore, the distance between two cars is 4.12 miles.

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HELP PLEASE ASAP What is the length of the diagonal of the square shown below?

Answers

Answer:

C) diagonal = 5√2

Step-by-step explanation:

diagonal² = 5² + 5²

diagonal² = 50

diagonal = √50

diagonal = √25x2

diagonal = 5√2

Answer:

C) diagonal = 5√2

Step-by-step explanation:

diagonal² = 5² + 5²

diagonal² = 50

diagonal = √50

diagonal = √25x2

diagonal = 5√2

in how many ways can a family of four be seated at a round table if two brothers must sit together a)1 b)8 c)2 d)4​

Answers

Answer:

8

Step-by-step explanation:

i think this is right     if not it would be 2

Gabrielle is 13 years older than Mikhail. the sum of their ages is 113. what is mikhails age?​

Answers

Step-by-step explanation:

g=m+13

g+m=113

use substitution

Answer:

50 years old

Step-by-step explanation:

Let's say that Mikhail's age is x.

If so, Gabrielle's age would be 13 years older, therefore x + 13

We know that the sum of their ages is 113, so we can form this equation:

x + x + 13 = 113

Solving this equation, we get:

x + x = 100

2x = 100

x = 50

50 is Mikhail's age, so Gabrielle's age is 63

Help pls show work if needed!

Answers

Answer:

d = 50h

Step-by-step explanation:

We are using the linear property y = mx.

We know that distance = rate × time, so if we subsitute this, we get that the distance is d, the rate is 50 mph, and the time is h.

Therefore, we can form the equation d = 50h.

Which graph represents the relationship?

Answers

Answer:

option 3 is the answer of this

I need help finding
sin B=
?
the options to choose from are

b/a

a/c

b/c​

Answers

Answer:

the correct answer will be b/c

Please help me out here

Answers

Answer:

your answer is C) A negative radius does not make sense.

Step-by-step explanation:

hope it helps  ^_^

what is the first step to solve the equation 2x - 8 = 14

Answers

adding 8 to 14 is the first step :)
the answer is 14 correct did this before! nope this helps!

1. What is the sum of (x+y) and (3x-2y)? *

Answers

Hii!

=(x+y)+(3x-2y)

=(x+3x) + (y-2y)

= 4x- y

Hope it helps:)

Out of 4,000 colleges surveyed, 60% reported that SAT scores were not used as a high consideration in viewing their applications. How many schools view the SAT as important in screening applicants?

Answers

Answer:

Hi.  

The first thing you want to know is how many schools 60% is.

To find 60%: 4,000 x 0.6 (b/c 0.6 = 60%)  

so, 60% of 4,000 = 2,400

To find the number of schools that consider SAT scores:  

Subtract 2,400 from 4,000 which, equals 1,600

              or

Find the remaining percentage; 40%:

4,000 x 0.4 = 1,600

Answer: 1,600 colleges

I hope this helps a little bit.

3x+4y = 12
Can you help solve please?

Answers

Answer: y = -3/4x+3

Step-by-step explanation:

3x+4y=12

4y=-3x+12

y = -3/4x+3

At a summer camp, there are 15 counselors, 5 cooks, and 120 campers. 5 points
What is the ratio between the number of counselors and the number of campers for this summer camp?*
1:4
1:6
1:8
1:12


Pls answer asap!!

Answers

Answer: 1:6 I believe

PLEASE HELP ON THIS QUESTION IVE BEEN STUCK ON IT FOR HOURS! WILL MARK BRAINLIEST ASAP!!

Your realized income from your primary job is $2,034.24/month. Your fixed expenses are 30% of your primary job’s realized income. You have a 2nd job that pays $9.50/hr with deductions of FICA (7.65%), federal tax withholding (11.5%), and state tax withholding (7.75%). If you want to save enough in the next 10 months to have an emergency fund that will cover 5 months using only 20% of your discretionary monies from your primary job, how many hours per month do you need to work at your 2nd job to meet your monthly savings goals?

Answers

The answer would be 3 hours.

How many pairs of intersecting lines are shown?
D
a. 24
b. 16
c. 8
d. 4.

Answers

I think the answer is 16

A bookstore costs $78 a day to keep open, and it spends $14 for each book
that it sells. If each book sells for $20, what is the break-even point for this
bookstore?
O A. n= 14
O B. n= 13
O C. n = 22
O D. n = 20

Answers

Answer:

13

Step-by-step explanation:

13

The break even point for this bookstore is n = 13.

What is Break-even Point?

Break even point is the point where the total revenue and total cost are equal to each other. That is, person does not suffer from loss or does not acquire profit.

Given that,

Cost for the bookstore for a day to keep open = $78

Cost for each book = $14

Let n denote the number of books made or sold in a day.

Then total cost for n books = 78 + 14n

Selling price for each book = $20

Revenue from n books = 20n

Break even point is the point when,

Total revenue = total cost

20n = 78 + 14n

6n = 78

n = 13

Hence the break even point for the store is n = 13.

Learn more about Break-even Points here :

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Find ∠B in ABC if ∠A = 85° and ∠C = 11°

Answers

Answer:

a

Step-by-step explanation:

what is the value of the underlined digit ? write your answers as as fraction​

Answers

Answer: one place

Step-by-step explanation:

Write the Whole Number as a Fraction Over One.

Choose A New Denominator.

Multiply Both Numerator and Denominator.

tanx cscx= 1/f(x)
simplify and write the trigonometric expression in terms of sine and cosine​

Answers

Answer:

f(x) = cos(x)

Step-by-step explanation:

tanx cscx = (sinx/cosx) * (1/sinx) = 1/cosx

1/f(x) = 1/cosx

f(x) = cos(x)

The given trigonometric equation in terms of sine and cosine​ is f(x)=cosx.

The given trigonometric function is tanx·cscx= 1/f(x).

What is the trigonometric equation?

A trigonometric equation is one that involves one or more of the sixs sine, cosine, tangent, cotangent, secant, and cosecant. Some trigonometric equations, like x = cos x, can be solved only numerically, through successive approximations.

We know that, tanx = sinx/cosx and cscx=1/sinx

Now, 1/f(x) = tanx·cscx

= sinx/cosx × 1/sinx

= 1/cosx

So, 1/f(x) = 1/cosx

Take inverse on both the side of equation, we get

f(x)=cosx

Hence, the given trigonometric equation in terms of sine and cosine​ is f(x)=cosx.

To learn more about the trigonometric equation visit:

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Solve this equation for a: 6a + 3 = 45
A.6
B.7
C.8
D.9

Answers

Answer:  7

Step-by-step explanation:

6 x 7 = 42

42+3 =45

Therefore 7 is the answer

Answer:

B. 7

Step-by-step explanation:

Answer to A. 6 = 6(6) + 3 = 39 (wrong answer)

Answer to B. 7 = 6(7) + 3 = 45 (correct answer)

Answer to C. 8 = 6(8) + 3 = 51 (wrong answer)

Answer to D. 9 = 6(9) + 3 = 57 (wrong answer)

I hope this helps :)

A.3(f) The line graphed on the grid represents the first of two equations in a system of linear equations.
20
-16
12
-8
-20 -16 -12
-
-4
48
12
16 2024
-8
-12
16
If the graph of the second equation in the system passes through (-12, 20) and (4,12), which statement is true?

Answers

I don’t any idea for this


A) 1080°
C) 720°
B) 1800°
D) 1620

Answers

Answer:

D- I hope I helped you. Good luck.

Need help please confused

Answers

Answer:

a. 11.6 (rounded to nearest tenth)

b. Yes

Step-by-step explanation:

a²+b² = c²

6²+10² = c²

36²+100 = c²

136 = c²

√136 = √c²

11.6  = c

b. because 11.6 is the hypotenuse (longest side length) and there is 6 and 10 as the shorter leg lengths.

THE amusement park won't allow kids to ride roller-coasters until they are a minimum of 48 inches tall. Michael is now 42 inches tall, and grows about 1/2 inch every month. How many months will it be until Michael can read a roller coaster? Please show me the individual steps?

Answers

Answer: It will one year (or 12 months) before Michael is able to ride the roller coaster.

Step-by-step explanation: Because he grows a half inch every month, this means that It takes him two months to grow one full inch. Because he has to grow six inches, you just multiply 2 by 6 to get 12 months or one year.

Answer:

48-42=6, which is how much Michael needs to grow.

1/2x=6, where x is the number of months

x = 12 months.

1 year = 12 months so the answer is one year.

I NEED HELP NOW PLZ!!!

Answers

Answer:

c

Step-by-step explanation:

x=-8

y= -5

therefore y=-5

and c is the answer

Answer is B, try to put the value
Y=-5
X=-8
Y=5/8 x
-5=5/8 (-8)
Which is
-5=-5

A store has clearance items that have been marked down by 35%. They are having a sale, advertising an additional 45% off clearance items. What percent of the original price do you end up paying?

Answers

Your answer is 35.75%.

Let’s pretend something at the store is $100. (It will save some math later)

100 - 35% leaves 65% (0.65 as a decimal)
100 x 0.65 = 65
That’s the price after the first discount. If we take 45% off of the sale price, we’ll be left with 55%, 0.55

65 x 0.55 = $35.75

Now normally you’d compare 35.75(sale price)/ 100(original price) to % off (x)/100, but doe this example, it’s unnecessary.

35.75/100 = x%/100

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