What is the next term of the geometric sequence?
-16/5 ,8, -20,

Answers

Answer 1

Answer:

common ratio(r)= 8÷(-16/5)= -20/8= -2.5 or -5/2

Gn=G1r^(n-1)

the next term will be the 4th term, means n=4

G4= (-16/5)((-5/2)^(4-1)

=(-16/5)(-125/8)

=50

Therefore the next term will be 4th term(G4)=50.

Answer 2

The next term of Sequence is 50.

What is Geometric Sequence?

A geometric sequence is a set of integers that follows a pattern in which the following term is determined by multiplying the previous one by a factor known as the common ratio, or r.

An example of a Geometric sequence is 2, 4, 8, 16, 32, 64, …, where the common ratio is 2.

Given:

-16/5 ,8, -20,

First, common ratio(r) = 8÷ (-16/5)

                                    = -20/8

                                    = -2.5 or -5/2

Now,[tex]G_n=G_1r^{(n-1)[/tex] and for n=4

[tex]G_4[/tex] = (-16/5) [tex](-5/2)^{(4-1)[/tex]

=(-16/5)(-125/8)

=50

Hence, the next term is 50.

Learn more about Geometric Sequence here:

https://brainly.com/question/11266123

#SPJ2


Related Questions

Is this a negative or positive?

Answers

Answer:

Positive.

Step-by-step explanation:

Two negative numbers multiplied is a positive number.

FYI, (-5)(-4) is 20.

Hope this helped!

Answer:

positive

Step-by-step explanation:

[ (-) × (-) = +]

Explain why when dividing fractions with the same denominator, you can find the quotient by dividing the numerators.

Answers

Answer:

It is because they are fractions of the same numbers so if you devide the numerator, you will get the quotient

sorry for my spelling lol

Step-by-step explanation:

Ashly has money automatically deposited in to a saving account each week after 4 weeks she have 20 dollars after 6 weeks she have 30

Answers

Answer:

5 dollars per week

Step-by-step explanation:

20 ÷ 4 = 5

30 ÷ 6 = 5

I believe that is your question.

is y=.75x+2 proportional or non proportional

Answers

Answer:

non proportional

Step-by-step explanation:

Problem 1:
The owner of the store bought the
computers for $299.99 each and
wants to mark-up 40%. How much
will the computers cost after the
mark-up?

Answers

Answer:

It will cost $120.00

Step-by-step explanation:

There are 366 days in a leap year and 24 hours in a day. How many hours are in a leap year?

Answers

Answer: 8784

Step-by-step explanation: Just multiply 366 and 24

Pens cost 3 dollars each at the school store.
How much would 2, 3, and 4 pens cost?
Complete the table below this relationship.
Show me how to graph this please my number is 4045137545 text me and ill send you my work

Answers

Answer:

Step-by-step explanation:

It would look something like the picture

Answer:

2

Step-by-step explanation:

a waterslide has an angle of elevation of 20 degrees whats is the rise for a run of 2.6 m?

Answers

Answer:

Therefore, the rise will be 0.95 m

Step-by-step explanation:

As the waterslide has an angle of elevation of 20 degrees.

Ф = 20°

And we have to determine the rise for a run of 2.6 m.

All we need is to use the trigonometric ratio of tan Ф

Because

tan Ф = rise/run

As

run = 2.6 m

Ф = 20°

so

tan Ф = rise/run

tan (20) = rise/run

rise = tan (20) × 2.6

rise = 0.95 m

Therefore, the rise will be 0.95 m

Charles spent $2.85 on train tickets every day for 15 days. What is the amount of money Charles spent on these train tickets? ​

Answers

Answer:

charles spent $42.75

Step-by-step explanation:

2.85*15+=42.75

what is the y-intercept of (5,8) and (12,36)

Answers

Answer:

The y intercept is (0,-12)

Step-by-step explanation:

You use the slope formula and the slope-intercept form to find the slope m and then the y intercept b.

Answer:

(0, -12)

Step-by-step explanation:

In order to find the y-intercept of the equation y = mx + b ( where m is the slope and b is the y-intercept), we first have to find the slope. We can do this by using the two points given to us.

To find the slope:

The slope is equal to: [tex]\frac{y2 - y1}{x2 - x1}[/tex]

Let's plug (5,8) and (12,36) into the equation:

[tex]\frac{36 - 8}{12 - 5}[/tex]

Now let's solve for the slope:

36 -8 = 28

12 - 5 = 7

So we get: [tex]\frac{28}{7}[/tex]

Now that we've found the value of the slope, we can put it into the equation:

y = [tex]\frac{28}{7}[/tex]x + b

To find the value of b, we can input the values of one of the given points into the equation and solve for b. Let's use (5,8):

Input the values of x and y into the equation:  8 = [tex]\frac{28}{7}[/tex](5) + b

Multiple [tex]\frac{28}{7}[/tex] by 5:  8 = [tex]\frac{140}{7}[/tex] + b

Divide 140 by 7:  8 = 20 + b

Subtract 20 from both sides of the equation to isolate b:  

8 - 20 = 20 - 20 + b

-12 = b

The y-intercept is (0, -12).

Milan
putting money into a savings account. He starts with $350 in the savings account, and each week he adds $60.

Let S represent the total amount of money in the savings account (in dollars), and let W represent the number of weeks Milan has been adding money. Write an
equation relating S to W. Then use this equation to find the total amount of money in the savings account after 17 weeks.

Answers

Answer:

Milan will have $1,370 in the account after 17 weeks.

Step-by-step explanation:

S(W) = 350 + 60W

S(17) = 350 + 60*70 = 1370

y=sxw+n

y= 350xw+60

Step-by-step explanation:

so yea

Correct answer will get brainiest!

Answers

Answer: x=24

Step-by-step explanation:

easy

X=24 its easy i took the test:)

a rectangle has an area of 651m². One of the sides is 7m in length. Work out the perimeter of the rectangle​

Answers

Answer:

200

Step-by-step explanation:

So first off, let's find the other side.

651 divided by 7 = 93

93 would be the other side measurement. There are two sides that measure 93 degrees, two sides that measure 7 degrees.

93 + 93 + 7 +7 = perimeter

Once we add up like terms, 200

how do i solve -3=-2x+1 by graphing?

Answers

Answer:

ok

Step-by-step explanation:

How do I solve this equation?

Answers

Answer:

7

Step-by-step explanation:

2x-3=11

14=2x

x=7

the answer is 7.

x=-4

Step-by-step explanation:

|2x-3|= 11

-2x+3 = 11

-2x = 8

x = 8/-2

x= -4

Hope it helps you

Need help! Anyone know?

Answers

It’s 90 degrees because it’s a right angle

A backpack originally costs $35.It is on sale for $22.75. Find the percent of decrease.

Answers

maybe 28% i think it’s tgat

Answer:

the answer is 35%

Step-by-step explanation:

what is the value of x for the equation: x/3+x=x/6-1

Answers

(x/3) + x = (x/6) - 1
6x/3x = 2x
2x + x = 3x
3x = -1
x = -1/3

Answer:

I think the answer may be

X=2

Step-by-step explanation:

x÷3+x=x÷6-1

Add the common factors together to get

2x÷3=x÷6-1

subtract on the right side to get

2x÷3=x÷5

subtract 3 from both sides to get

2x=x÷2

subtract x from both sides to get

1x=2

someone please help ?!
The ratio of boys to girls in a class is 3:5. There are 32 students in the class. How many students are boys?

Answers

Answer:

12.

Step-by-step explanation:

to find a ratio, you must add the two numbers in the ratio, (3+5=8) and divide the total by that number (32÷8=4) once that is dine you can multiply the ratio number to find the amount (3×4=12) (5×4=20) so the ratio is 12:20, but the amount of boys is 12.

Solve for g: 6 - 2g = 12

Answers

Answer:

g = -3

Step-by-step explanation:

subtract 6 on both sides

-2g = 6

divide by -2

g = -3

Answer:

G=-3

Step-by-step explanation:

I have used an online algebra calculator to check my answer against and I got the answer g= -3 both times so I am 100% positive that the answer is correct.

PLEASE MARK BRAINLIEST  

In triangle ABC, the measure of angle A is 48° and the measure of angle C is 24°. What type of triangle is triangle ABC?

Answers

Answer:108 degrees

Step-by-step explanation:

Answer:

Scalene triangle

Step-by-step explanation:

24+48= 72

180-72=108

All three angles are different meaning that the triangle must be a scalene triangle.

PLEASE HELP NOW LIKE LITERALLY. ILL GIVE BRAINLIST AND FULL STAR!!

Answers

Answer:

A= 3/2 B=2/5 C=5/5 (1) D=4/3 E=1/4 F=0 (?)

Step-by-step explanation:

rise over run, otherwise I don't know what you'd be inputting

Answer:

A. 3/2

B. 2/5

C. 1

D. 2

E. 1/4

F. 0

Nick is given $50 on a vacation. He decides to spend $5 a day. Write an equation relating to the amount of money Nick has left, y, and the number of days, x, Nick spends money

Answers

Answer:

y = -5x + 50

Step-by-step explanation:

We'll write the equation in y = mx + b form, where b is the original amount of money (50), and m is the amount of money he spends he each day(5). Since he's spending 5 dollars, that means that 5 dollars is being lost everyday, so m will be -5:

y = -5x + 50

Hope this helps :)

Which number would make this inequality true?


______ <0.271



0.27100


0.28


0.21


0.309

Answers

0.21 because it is the only one smaller than 0.271 plz mark brainliest, trying to be virtuoso
that answer is correct also ^^^

question says.

which number would make this inequality true?________< 0.271

answer is

0.21

have a good day!!

what does this even mean

Answers

Answer:

it means hide under your bed and stay thier. math scary

Step-by-step explanation:

Step-by-step explanation:

2x-7y=0 thats what the answer is


messag
The length of each of the two congruent sides of an isosceles triangle is 3x - 1. The length of the third side is 2x + 1. The perimeter is 55 feet. Which equation does NOT represent the perimeter?

8x - 1 = 55

6x - 2 + 2x + 1 = 55

2 (3x - 1 + 2x + 1) = 55

2 (3x - 1) + (2x + 1) = 55

Answers

Answer: The third choice

Explanation:

This equation does not represent the perimeter.

To write the equation:

2(3x - 1) + (2x + 1) = 55
6x - 2 + 2x + 1 = 55
8x - 1 = 55

Thus, 3 of the choice represent but the the third choice didn’t appear in the equation.

Transversal t intersects lines a, b, c. Which lines are parallel. Prove your answer.

Answers

Answer:

A is parallel to c

A is not parallel to b

B is not parallel to c

Step-by-step explanation:

Answer:

a and c are parallel || means parallel

Step-by-step explanation:

Statement.     | Reason

128*+52*=180| Same side exterior Angles

A||c.                 | Same side exterior Angles

138*=128*.       |corresponding angles

B N o|| C         | Corresponding Angles

52*+138*=180*|Corresponding angles

A n o|| B.        | Corresponding Angles

Im from RSM

Help me please I’ll mark brainliest.

Answers

Answer:

40x

400

Step-by-step explanation:

you can find the pattern by dividing the output by the input

80/2 =40

240/60 =40

therefore, whatever number you have it will be muiltiplied by 40.

the answer is fourty

f(x) = -4x – 2, solve for x when f(x) = 6

Answers

Step-by-step explanation:

[tex] - 4x - 2 = 6[/tex]

[tex] - 4x = 8[/tex]

[tex]x = - 2[/tex]

please help me!!!! I don't know what the answer is!!!
Which image is the translation of ΔABC given by the translation rule (x,y) → (x-2, y-2)?

A. (look at pic)
B. (look at pic)
C. (look at pic)
D. (look at pic)

Answers

Answer:

D

Step-by-step explanation:

So when you translate triangle ABC, you have to subtract 2 from each part of the coordinate, aka move it 2 to the left and 2 down.

Therefore, it would be D

Hope that helps! :D

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