Write an explicit formula for a_na n ​ , the n^{\text{th}}n th term of the sequence 5, -25, 125,

Answers

Answer 1

The explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

The given sequence is 5, -25, 125,.......

Here, the common ratio is -25/5 = -5 and 125/(-25) = -5.

We know that, the explicit formula for an geometric sequence is [tex]a_n=ar^{n-1}[/tex].

Where, a = first term of the sequence, r= common ratio and n = number of terms.

Substitute, a=5 and r=-5 in [tex]a_n=ar^{n-1}[/tex], we get

[tex]a_n=5\times(-5)^{n-1}[/tex]

Therefore, the explicit formula for the given geometric sequence is [tex]a_n=5\times(-5)^{n-1}[/tex].

To learn more about the geometric sequence visit:

https://brainly.com/question/11266123.

#SPJ4


Related Questions

Please help.
Determine which lines are parallel and which are perpendicular. Explain your reasoning.

Answers

Answer:

Parallel: a and b, p and q, p and r, q and r

PErpendicular: p&a, p&b, q&a, q&b, r&a, r&b

Step-by-step explanation:

Parallel lines have the same slope so both of the lines would be going in the same direction and will never cross each other.

Perpendicular lines cross at a 90 degree angle.

Technically you do not know if q&a and q&b are perpendicular because you do not know if there is a 90 degree angle

Answer:

Parallel lines are equally spaced out in the same direction so it would be p,q, and r, Purpendicular Lines intersect at a 90 degee angle so it would be q and a, q and b, r and b, and r, and so on

Step-by-step explanation:

PLEASE HELP WITH THIS

Answers

Answer:

a.2

b.area of one triangular faces =9m²

2×9m²18m²

What is the perimeter of triangle PQR.
5 units
10 units

√5+3 √2units

2 √5 + √10 units

Answers

Answer:

Opps i am really sorry i donot know it

Answer:

Step-by-step explanation:

It's 5 units

Helpppp chile. I’m stuck sidnfifnfig vkfniffnf

Answers

Step-by-step explanation:

12*4 - 2*2

48 - 4

44 ft of carpet.

The volume of a triangular prism is 42 cubic centimeters. What is
the volume of a similar prism that is twice as large as the first
prism?
A. 21 cm
C. 168 cm
B. 84 cm
D. 336 cm

Answers

Answer:

B

Step-by-step explanation:

It's needing to be doubled in size. That should be it hope it helps

One experiment had 10 players spinning, another experiment had 100 players spinning. Which experiment is more likely to come closer to matching its theoretical probability.

Answers

Answer: Experiment with 100 players sprinting

Step-by-step explanation:

When it comes to experiments using samples to find out the effect of a variable on an entire population by finding out the representative effect on the sample, the larger the size of the sample, the better.

A larger sample comes closer to being the actual size of the population so when this larger sample is experimented upon, the results it gives will be closer to the results that would be gotten if we experimented on the entire population. The 100 player sprinting experiment would therefore come closer to matching its theoretical probability.

in which of the expression below does n=3 ? select all that apply.​

Answers

Answer:

B and C

if n=3 then 5ⁿ=5³=5×5×5=125

n³=3³=3×3×3=27

hope it helps :)

A quality control inspector at a clothing manufacturer

Answers

Quality control inspectors monitor quality standards for nearly all manufactured products, including foods, textiles, clothing, glassware, motor vehicles, electronic components, computers, and structural steel. Specific job duties vary across the wide range of industries in which these inspectors work.

Find the area of the circle.
Use 3.14 for it.
(
d = 8 cm
A = [?] cm2
A=Tr2

Answers

What the make no sense but I believe it is 50.24 hope that helps

hey! i’ll give brainliest pls help.

Answers

Answer:

hello there!

The correct option should be the second option and the fourth option!

Step-by-step explanation:

comets usually come from the kuiper belt, and the oort cloud.

anyways, hope this helped! qwq

the oort cloud and the kuiper belt - hope this helped!

5. In the regular decagon shown, what is the measure of angle 1? *


1 point


One Exterior Angle of a REGULAR Polygon


OneEx 4 = 360


(


18 degrees


O


36 degrees


72 degrees


0


180 degrees

Answers

The image of the hexagon is missing, so i have attached it.

Answer:

∠1 = 36°

Step-by-step explanation:

From the image attached, we can see that the polygon is regular and has 10 sides.

Formula for an interior angle of a regular polygon is;

θ = 180(n - 2)/n

Where n is the number of sides of the polygon.

Thus;

θ = 180(10 - 2)/10

θ = 144°

Now, ∠1 forms a straight line with one of the interior angles of the polygon.

Thus, θ + ∠1 will be equal to 180° because sum of angle on a straight line is 180°

Thus;

144° + ∠1 = 180°

∠1 = 180° - 144°

∠1 = 36°

Find the value of x.l

Answers

Answer:

The value of x is 28°

Step-by-step explanation:

2x + 1 and 33° together forms 90° angle.

So, we need to find the angle at the 2x + 1.

--> 90° - 33°

= 57°

So, 2x + 1 gives 57°.

So, to find x :-

2x + 1 = 57°

2x = 57 - 1

2x = 56

x = [tex]\frac{56}{2}[/tex]

x = 28

Simplify this expression using the distributive property.
2(2z+9)

Answers

Answer:

[tex]\bold{4z+18}[/tex]

Step-by-step explanation:

Hi there!

The Distributive Property states that

[tex]\bold{a(b+c)=ab+ac}[/tex]

Now, let's use this property to solve our problem:

[tex]\bold{2(2z+9)}[/tex]

[tex]\bold{4z+18}[/tex]

Hope it helps! Enjoy your day!

~Just a teenage girl willing to help

[tex]\bold{Besties4Ever:-):-)}[/tex]

Hi, let me help you out!

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

In order to simplify this, we're going to use a property that's called the Distributive Property:

[tex]\longrightarrow\tt{a(b+c)=ab+ac}[/tex]

Where a, b, and c can be variables, constants, or both (like 4c).

Now let's simplify our expression:

[tex]\longrightarrow\tt{2(2z+9)}[/tex]

Multiply 2 times 2z and 9:

[tex]\longrightarrow\tt{4z+18}[/tex]

Hence, we conclude that the answer is: [tex]\tt{4z+18}[/tex].

I hope this helps you! Have an awesome day.

If you need any explanation or clarification, just let me know! :)

- - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -

Hola, ¿cómo está tu día?

Answers

Answer:

Muy bien, y usted?

Answer:

es una pregunta o necesitas eso traducido al inglés ¿?

*LOOK AT PICTURE FOR QUESTION*

F) 20.5 in

G) 14.74 in

H) 9.3 in

J) 10.1 in

Answers

I’m Pretty sure it’s g

PLEASE HELP THANK YOU BRANLIEST IS PROVIDED

Answers

Answer:

Solution given;

area of semi circle=½πr²=1/2×3.14×4²=25.12in²

area of rectangle ABCD=l×b=8×13=104in²

area of rectangle CEFI=l×b=3×6=18in²

Total area =25.12+104+18=147.12in²

Area of circle

πr²π(7+6-5/2)²π(8/2)²16π25.12in²

Area of centre rectangle

8(13)104in²

Area of right rectangle

3(6)18in²

Total

18+104+25.12122+25.12147.12in²

I would really like some help with this. If anyone is able to help me.

Answers

Answer:

are not  

Step-by-step explanation:

it is clear I can explain in the comment section ... because I don not want you to lose time

solve the equation for y
1/2y - 21/4 = -35/4

Answers

Answer:

[tex]1/2y - 21/4 = -35/4[/tex]

[tex]1/2y = 21/4 -35/4[/tex]

[tex]1/2y = - 7/4[/tex]

[tex]y = - \frac{7}{2} [/tex]

Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution. Find the percent concentration of the first solution. (a) 70% (b) 61% (c) 69% (d) 67%

Answers

Answer:

67%

Step-by-step explanation:

Let the percentage of the first solution = x

7 gallons + 4 gallons = 11 gallons

Our system of equation is

Seven gallons of a sugar solution was mixed with 4 gallons of a 80 percent sugar solution to make an 72 percent sugar solution.

7 gallons × x % + 4 gallons × 80% = 72% × 11 gallons

= 7x + 3.2 = 7.92

Collect like terms

7x = 7.92 - 3.2

7x = 4.72

x = 4.72/7

x = 0.6742857143

Converting to percentage

0.6742857143 × 100

= 67.42857143%

Approximately, the percent concentration of the first solution is 67%

A bag contains apps and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answers

Complete Question

A bag contains 8 apples and six oranges. You randomly draw a piece of fruit from the bag, eat it, and then randomly draw another. what is the probability you draw and eat an apple than draw an orange?

Answer:

Step-by-step explanation:

Which equation best represents the relationship between x and y in the graph?
A. y = 3x + 3
B. y = x + 3
C. y = 3x - 1
D. y = 13 - 1


15 points pls I need ASAP

Answers

Answer:

A. y = 3x + 3

Step-by-step explanation:

y=mx+b

b is the y-intercept (0,y) so lets start with that

We can see that the line touches 3 on the y intercept to get (0,3) meaning b=3

For the slope (m) I like to count rise over run so if we start from (0,3) and go up 3 over 1 we get 3/1 or 3 for m

The whole equation is y=3x+3

the answer is A because the first intercept would be at positive three

pls answer i need the answer

1 ticket
2 tickets
3 tickets
4 tickets

Answers

Answer:

3

Step-by-step explanation:

Answer:

2 tickets

Step-by-step explanation:

a + c = 5

9a + 4c = 30

let a = 5-c

substitute:

9(5-c) + 4c = 30

45 - 9c + 4c = 30

45 - 5c = 30

-5c = -15

c = 3

a = 2

PLEASE HELP ASAP I have no idea how to solve this pls pls pls

Answers

Answer:

Step-by-step explanation:

you have to use trigonometric functions

cos 30 = adj. /hyp.

cos 30 = 12 / y

y = 12/cos 30 ≅13.86

tan 30 = opp./adj

tan30 = x / 12

x = 12 tan30 ≅6.93

Given b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C. What is the area of the triangle? Round to the nearest hundredth.

Answers

Answer:

1.73 units

Step-by-step explanation:

The area of a triangle with sides a, b, c and angles A, B, C is given as

Area = 1/2 bc sin A

Given that b=4, c=1, A=120° for a triangle with sides a, b, c and angles A, B, C then the area

= 1/2 * 4 * 1 * sin 120

= 2 sin 120

= 2 * √3/2

= √3

= 1.732

To the nearest hundredth = 1.73

Q12.
Which relation is a function?

A
{(-1, 3), (-2, 6), (0, 0), (-2, -2)}

B
{(-2, -2), (0, 0), (1, 1), (2, -2)}

C
{(7, 4), (8, 8), (10, 8), (10, 10)}

D
{(4, 0), (4, 1), (4, 2), (4, 3)}

Answers

D I’m guessing since it’s the only one that makes sense

Alonzo runs each lap in 6 minutes. He will run at most 30 minutes today. What are the possible numbers of laps he will run today?

Use n for the number of laps he will run today.
Write your answer as an inequality solved for n.

Answers

Answer:

N= 5

Step-by-step explanation:

30 ÷ 6 = n

n = 5

30 ÷ 6 = 5

Hope this helps!!

Please help me with my work

Answers

Answer:

If the squares of the two shorter sides add up to the square of the hypotenuse, the triangle contains a right angle.

Step-by-step explanation:

Answer:

Down below is the answer.

Step-by-step explanation:

So, lets remember that the pythagreon theorm is only useable in right traingles.

The formula for the pythagreons theorm is A^2+B^2=C^2

So basically, if this is not a right triangle, the two sides(4ft^2 and 3ft^2) will be equivelent to 5ft^2.

Lets solve the pythagroens theorm and plug in our values:

4^2+3^2=5^2

Now lets use the square roots:

16+9=25

COmbine the two numbers:

25=25

This is correct!

So yes, this is a right triangle.

HOpe this helps! :)

Please help

Extra hundred points and brainleist

Answers

Answer:

A

Step-by-step explanation:

It is A. The problem asks for the interval when the marlin's height is always increasing. Therefore, you want to look at the left half of the parabola, as the line is going into the peak. The right half is declining. The peak is at around 2 (on the x-axis), so you know that the ending interval number has to be 2. The marlin's height begins to go up starting at 0, so the interval is 0 <= x <= 2. Any number past two is a declining height, and the increase starts at 0.

A bag contains 5 red marbles, 3 green marbles, and 2 blue marbles. If Nathan draws two marbles without replacing them, what is the probability he will draw 2 red marbles?

Answers

Answer:

It would be a 2/9 chance.

Step-by-step explanation:

So to start, the total amount of marbles is 10, as there's 5 red marbles, 3 green marbles, and 2 blue marbles.

With this, in the first draw, there's a 5/10 chance that a red one will be picked since there's 5 reds of the 10 total.

Since the marbles aren't put back, if a red's chosen in the first draw, it wouldn't be there in the second draw. Therefore in the second draw, there would be 4 reds and 9 in total.

With this, in the second draw, there's a 4/9 chance that a red one will be picked since there's 4 reds of the 9 total.

Now, combine these two probablities by multipliying them and you've got your answer!

5/10 * 4/9 = 20/90 ---> 2/9

Find the volume of the prism

Answers

Answer:

Step-by-step explanation:

The formula for the volume of a prism is V=Bh , where B is the base area and h is the height. The base of the prism is a rectangle. The length of the rectangle is 9 cm and the width is 7 cm.

V=Bh the length of the rectangle is 9 cm and the width is 7 cm
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