What is the next term of the geometric sequence? -3/5, 6/5, -12/5, ___

Answers

Answer 1

Answer:

24/5

Step-by-step explanation:

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Answer 2

The 4th term of the geometric progression is a₄ = 24/5

What is Geometric Progression?

A geometric progression is a sequence in which each term is derived by multiplying or dividing the preceding term by a fixed number called the common ratio.

The nth term of a GP is aₙ = arⁿ⁻¹

The general form of a GP is a, ar, ar2, ar3 and so on

Sum of first n terms of a GP is Sₙ = a(rⁿ-1) / ( r - 1 )

Given data ,

Let the GP be represented as A

Now , the value of A =  -3/5, 6/5, -12/5 ...

Let the first term of the GP be a = -3/5

Let the second term of the GP be ar = 6/5

Now , the common ratio of the GP = second term / first term

Substituting the values in the equation , we get

The common ratio r = ( 6/5 ) / ( -3/5 )

The common ratio r = -2

Now , the 4th term of the GP is a₄ = ar³

Substituting the values in the equation , we get

a₄ = ( -3/5 ) ( -2 )³

a₄ = ( -3/5 ) ( -8 _

a₄ = 24/5

Hence , the 4th term of the GP is 24/5

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Related Questions

What is equivalent to
4x+18xx-3-4x

Answers

Answer:

18x-3

Step-by-step explanation:

if the question is 4x+18x-3-4x,first callect like terms 4x+18x-4X-3 = 18x-3

8+x=x
what is x? i need help please. will mark brainliest!

Answers

Answer:

It has no solutions

Step-by-step explanation:

Rearrange the terms

[tex]8+x=x\\x + 8 =x[/tex]

Subtract 8 from both sides

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

Simplify

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

Subtract x from both sides

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

Simplify

[tex]0 = -8[/tex]

The input is a contradiction: it has no solutions

!!!Factor each completely, please
do as many as you can please

1) x²+15x+56
2) 12x²-44x+77
3) 6x+21
4) 18x³-2x+27x-3
5) 32x³-4
6) 8x²+10x-25
7) x²+5x-36
8) 2x²+20x+48

Answers

1. (x + 7) (x + 8)

2. - (20x - 77)

3. 3 (2x +7)

4. 79x - 3  

5. 4 (24x -1)

6. (4x - 5) (2x + 5)

7. (x-4) (x + 9)

8. 2 (x + 4) (x + 6)

Need help please i dont get it

Answers

Answer:

>

Step-by-step explanation:

-27/80 > -73/80

If you make a number line they are both in the negatives. If they are both in the negatives then whatever one is closer to 0 is greater.  

Answer:

>

Step-by-step explanation:

even tho 73 looks like a higher number when u add the negatives to the front whatever number looks like it is smaller is the higher number.

can someone help me with this?

Answers

A) vertical angles
B) same side interior angles
C) alternate interior angles
D) corresponding angles

Really need help emergency thanks if you help

Answers

Answer:D because you divide it bu a common factor

Step-by-step explanation:

It's D! 500/4 = 125
4/4 1

The school that Ted goes to is selling tickets to a choral performance. On the first day of ticket sales the school sold 7 adult tickets and 8 child tickets for a total of $168. The school took in $294 on the second day by selling 14 adult tickets and 13 child tickets. Find the price of an adult ticket AND the price of a child ticket.

Answers

Answer:

Adult= $24

child= $21

Step-by-step explanation:

first let's create an equation for each one.

Day 1: 7x+8y=168

day 2: 14x+13y=294

By doing so we can either graph and get the points for x,y or we can substitute each (x=0) (y=0) and solve manually.

x-int.= (24,0)

y-int.=(0,21)

what are the missing angles?

Answers

Answer:

To determine to measure of the unknown angle

Step-by-step explanation:

If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2

"To determine to measure of the unknown angle, be sure to use the total sum of 180°. If two angles are given, add them together and then subtract from 180°. If two angles are the same and unknown, subtract the known angle from 180° and then divide by 2."

The sum of four times Juanita’s age and 16 is 100. Juanita is j years old. How old is Juanita?

Answers

Answer:

Step-by-step explanation:

Juanita is 36 years old.

100 - 16 x 4

36

Hope this helps!

Which expression is equivalent to
Square root of 80 ?

Answers

Answer:

4i√5

Step-by-step explanation:

Evaluate b2 + 4 · 6

the 2 is a exponent

Answers

Answer:

b^2+(4•6)b^2+24

Steph owed her mother $84. She earned $6.25 for raking the leaves each week and 3.25 for unloading the dishwasher each week, how many weeks would it take her to pay her mother back?

Answers

Answer: About 10 weeks

Step-by-step explanation:

Step 1- 6.25 + 3.25 = 9.50

Step 2- 84 - 9.50 = 74.50

Step 3- 74.50 divide by 7

Step 4- Answer 10. 64285 and so on

Please help! Will mark you brainiest

Answers

the measure of 1 would be 51
actually, i think angle 1 would be 39 degrees. an angle bisector means that an angle is split evenly in half; therefore the two angles created by the bisector should be equal <3

help djeifjguikldcfhirdklfjrughenffufkfjeropf
me UmU

Answers

Answer:

the slope is 3

Step-by-step explanation:

its rise over run it goes up three and moves to the right one so 3/1=3

The slope is positive 3/1

A glacier in Alaska moves about 29.2 meters a day.

About how much farther will it move in 1,000 days than it will move in 100 days?

Answers

Answer:

29,100

Step-by-step explanation:

29.1 × 10 = 291

29.1 × 100 = 2,910

29.1 × 1000 = 29,100

Given: B. and D are collinear m < ACB = 94 degrees 94 degrees E value of will ensure that are also collinear ?

Answers

Answer:

D for 84 degree c

Step-by-step explanation:

add 94 plus 94 then calculate 94 -8

Thats it none if my questions are being answered so I am going to give 30 points ​

Answers

Answer:

nonproportional

Step-by-step explanation:

The line does not pass through the origin (0,0)

Simplify. 10 ÷ 15 − 3

Answers

-2 and 1/3 or -2.333

Pls help it's due soon pls dont waste my points i have so less :(

Answers

Answer:

Cheetah ran for 3 hours.

Antelope ran for 5 hours.

Lion ran for 6 hours.

Elephant ran for 10 hours.

Pls answer number 1 thank you if you do

Answers

Answer:

96 baceballs

Step-by-step explanation:

Hope this helps!

Breanna made a scale drawing of her bedroom in order to arrange her
furniture. She used a scale of 1/2 inch = 1 foot. Her bed is 4 1/4 feet by 6
feet. What scale dimensions represent her bed?

Answers

Answer:

multiple both the numbers 2 times then add it together

Step-by-step explanation:

Kaelyn has some yarn that she wants to use to make hats and scarves. Each hat uses 0.20.20, point, 2 kilograms of yarn and each scarf uses 0.10.10, point, 1 kilograms of yarn. Kaelyn wants to make 333 times as many scarves as hats and use 555 kilograms of yarn. Let hhh be the number of hats Kaelyn makes and sss be the number of scarves she makes. Which system of equations represents this situation?

Answers

Answer:

s = 3h

0.1s + 0.2h = 5

h = 10

s = 30

Step-by-step explanation:

Given that :

Hat :

0.2kg of yarn

Let Number of hats = h

Kg of yarn used for hat = 0.2 * h = 0.2h

Scarf:

0.1 kg of yarn

Number of scarves (s) = s

Kg of yarn used for scarf = 0.1 * s = 0.1s

Total kg of yarn used = 5 kg

Number of Scarf = 3 times number of hats :

s = 3h - - (1)

0.1s + 0.2h = 5 - - (2)

From 1:

0.1(3h) + 0.2h = 5

0.3h + 0.2h = 5

0.5h = 5

h = 10

s = 3h

s = 3(10) = 30

The table and graph show the miles driven and gas used for two scooters
How many miles does scooter A get for one gallon of gas

Answers

Answer:

Scooter A gets 75 miles/gallon.

Step-by-step explanation:

150 / 2 = 75 miles/gallon

please help me!! PLEASE!!

Answers

Answer:

it is d

Step-by-step explanation:

because the bottom would have to be on the input side a 4

D

hope it helps, i tried the best i could

1/2x + 6= 3x - 4
Solve the system of equations

Answers

1.Combine multiplied terms into a single fraction

2. Multiply by 1

3. Subtract 6 from both sides of the equation

4.Simplify

5.Subtract 3x from both sides of the equation

6.Simplify

7.Multiply all terms by the same value to eliminate fraction denominators

8.Simplify

9.Divide both sides of the equation by the same term

10.Simplify

Solution:x=4

Find the slope? Work on how you got answer please

Answers

The slope is 2.

Reason: you find the slope by dividing the difference of the y-coordinates (5 and 9) by the difference of the x coordinates (1 and 3)
9-5=4
3-1=2
4 divided by 2 =2

Decimal value of 5/6

Answers

Answer:

0.833333... it repeats

Step-by-step explanation:

So i say 0.83.

Answer:

0.833333...

Step-by-step explanation:

Damon is buying meat by the pound at the deli. For every 5 pounds of meat he buys, he pays $8. What is the cost, per pound, for the meat?

Answers

Answer:

$1.60 per pound

Step-by-step explanation:

6.3 x 10 to the power of -8

Answers

Answer:  the  answer  is  6.3e-8

Step-by-step explanation:

determine if the lines are parallel perpendicular or neither y=-7 and x=2

Answers

Answer:

Perpendicular

Step-by-step explanation:

Because the two lines don't have a "b" value in the equation y=mx+b, we know that both these lines are straight lines either horizontal or vertical. So, if we were to graph these, they would intersect and creat 4 90º angles, making it perpendicular (see graph as well)

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