Find an explicit rule for the nth term of the sequence.

The second and fifth terms of a geometric sequence are 20 and 1280, respectively.

Answers

Answer 1

Step-by-step explanation:

in a geometric sequence there is a constant factor x that is multiplied with every previous term to create the next one.

a2 = 20

a5 = 1280 = a2×x×x×x = a2×x³ = 20x³

64 = x³

x = 4

=> a1 = 5

therefore

an = an-1×4 =

[tex]a1 \times {4}^{n - 1} [/tex]

n > 1


Related Questions

Question 3 of 10
Select the action you would use to solve 3x = 12. Then select the property
that justifies that action
Select all that apply.
A. Action: Add 3 to both sides.
B. Action: Multiply both sides by 3.
C. Action: Divide both sides by 3
D. Property. Addition property of equality
E. Property: Multiplication property of equality
DF Property Division property of equality

Answers

Answer:

C. Divide both sides by 3

Step-by-step explanation:

3x=12

3x/3=12/3

x=4

2 Select THREE expressions that are equivalent to 16x - 68 A. -4(4x - 17) B-28x + 3) c. 21-8-34) D 4 - 4 - 17) E 8 - 2x-8)


pls help:(​

Answers

Answer:

Step-by-step explanation:

let's try a:

-4*4x-4*(-17) - expand the distributing terms

-16x-4*(-17) - simplify

-16x-(-68) - simplify again

-16x+68 - remove parentheses

-16x+68 does not equal to 16x-68

lets try b:

-28x+3... dont know what u mean

lets try c:

13-34 first

-21

lets try d:

0-17

-17

lets try e:

-2x+(8-8)

-2x

fortunally dont know what you mean.

i don’t know what it is can someone help

Answers

Answer:

b

Step-by-step explanation:

Instructions: Find the missing side. Round your answer to the nearest
tenth.
16
51°
х
II

Answers

Answer:

Step-by-step explanation:

Tan(51) = opposite / adjacent

The adjacent side makes up the reference angle (51o)

The opposite side is not part of the reference angle

adjacent side = x

opposite side = 16

Tan(51) = 16 / x              Multiply both sides by x

x * Tan(51) = 16            Divide by tan 51

x = 16 / tan(51)

tan(51) = 1.2349

x = 16 / 1.2349

x = 12.96

Answer:

12.9

Step-by-step explanation:

Tan(51) = opposite / adjacent

The adjacent side makes up the reference angle (51o)

The opposite side is not part of the reference angle

adjacent side = x

opposite side = 16

Tan(51) = 16 / x            

Multiply both sides by x

x * Tan(51) = 16        

Divide by tan 51

x = 16 / tan(51)

tan(51) = 1.2349

x = 16 / 1.2349

x = 12.9

Some help me with this pls.

Find m

Answers

Answer:

The inscribed angle intercepts the circle's radius is always 90

Step-by-step explanation:

Vanessa and her friends are watching three movies consecutively. The first movie is 2 hours and 17 minutes long. The second movie is 84 minutes long, and the last movie is 99 minutes long. How much time will they spend watching the movies?

Answers

Answer:

320 minutes (5 hours and 20 minutes).

Step-by-step explanation:

2 hours and 17 minutes = 137 minutes

137 + 84 + 99 = 320

Therefore, they will spend 320 minutes (5 hours and 20 minutes) watching movies.

Find m arc DC.

Please help!

Answers

Answer:

51

Step-by-step explanation:

Can someone please help me with these questions (picture)

Answers

Step-by-step explanation:

Answer 1 to find the base to apply the Pythagoras theorem..of finding length..

Hypotenuse²= Base²+ Height²

So,

(H)²= (B)²+(H)²

12²= 8²+

144-64=

80=

80= y

2×2×2×2×5= y

2×25= y ( take one 2 from each pair)

45= y

hope it helps...

Answer:

4 sqrt(5); 41.0

Step-by-step explanation:

Question 7:

Using Pythagoras theorem:

y = sqrt(12^2 - 8^2)

y = sqrt(80)

y = 4 sqrt(5)

Question 8:

A = Area rectangle + Area circle

A = 2.4 × 4.4 + pi × 4.4^2 ÷ 2

A = 10.56 + 9.68 pi

A = 41.0

The buyer for a chain of stores purchased kitchen tables in bulk, paying $32 each. The stores will sell each kitchen table for $58. What percentage is the mark-up?

Answers

Answer:

The markup is 81.25%

Step-by-step explanation:

Take the new price and subtract the original price

58 - 32

26

Divide by the original price

26/32

.8125

Change to percent form

81.25%

The markup is 81.25%


Evaluate the expression when a=3.
a^2 - 6a -5

Answers

Answer:

- 14

Step-by-step explanation:

a = 3

a^2 - 6a - 5

= 3^2 - 6 ( 3 ) - 5

= 9 - 18 - 5

= 9 - 23

= - 14

9-18-5= -9-5=-14

Just substitute 3 for a and solve.

3^2=3(3)=9
-6(3)=-18

Can someone help me I don't know

Answers

Answer:

The answer would be (x-5, y-5)

Step-by-step explanation:

You can find this out by finding the difference between D(3,5) and D'(-2,1) (pr any other coordinate) which is -5 in both the x and y coordinates making the answer (x-5, y-5).

A train travels a distance of 60 km at uniform speed. If the speed of the train was reduced by 10 kmh-1, the time taken to travel the 60km will increase by 1/2h. Find the speed of the train at the beginning.

Answers

Answer:

Initial speed is 32 m/s

At uniform speed, acceleration is 0, (a = 0).

When speed reduced, (v - u) = 2.78 ms-¹, t = 1800 sec, s = 60 ,000 metres.

From first equation of motion:

[tex]{ \boxed{ \bf{v = u + at}}} \\ { \tt{(v - u) = at}}[/tex]

substitute:

[tex]{ \tt{2.78 = (a \times 1800)}} \\ { \tt{acceleration = 0.0015 \: {ms}^{ - 2} }}[/tex]

from second equation of motion:

[tex]{ \boxed{ \bf{s = ut + \frac{1}{2} a {t}^{2} }}}[/tex]

substitute:

[tex]{ \tt{60000 = 1800u + ( \frac{1}{2} \times 0.0015 \times {1800}^{2}) }} \\ { \tt{1800u = 57570}} \\ { \tt{u = 32 \: m {s}^{ - 1} }}[/tex]

solve |2x+2|=10 ap3x

Answers

Answer:

solving for x

Step-by-step explanation:

4 or -6

Answer:

x = 4

Step-by-step explanation:

Those absolute value signs are a trick, well at least for this problem. Solve it how you usually would. However, if +2 was -2 or +/-2, then you would need to pay attention. Basically, those signs make the whole equation incased positive no matter what.

Someone help me with this

Answers

Side of base=10kmPerimeter

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow (side)4[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 4(10)[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow 40km[/tex]

Height=9.4km

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surface\:Area=Perimeter\times Height[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surface\:Area=40(9.4)[/tex]

[tex]\\ \qquad\quad\sf{:}\twoheadrightarrow Surace\:Area=384m^2[/tex]

help me pls??????? :)

Answers

Answer:4 in each bad 2 left over

Step-by-step explanation:

Answer:

4 in each bag and 2 left over

Step-by-step explanation:

divide 14 by 3

3 goes into 14, 4 times

14 - 12 = 2

4 in each bag and then 2 left over

The sales tax in a certain city is 2%. A man buys a camera and pays a sales tax of $3.20. What was the cause of the camera, exclusive of the sales tax?

Answers

Answer:

The base cost of the camera, exclusive of sales tax, is $160.

Step-by-step explanation:

Set up this equation and solve for x, which is the cost of the camera:

$3.20 = $0.02x [0.02 = 2%]

Solve the equation by dividing $3.20 by 0.02. The answer is $160.

Answer: $160 for the camera

Step-by-step explanation:

0.2x160=3.2

$160

help find the height

Answers

Answer:

A

Step-by-step explanation:

Heron's formula finds the area of any triangle.

Area = sqrt(s*(s - a)*(s-b)*(s-c) )

s = (a + b + c)/2

a = 8

b = 16

c = 12

s = 36/2 = 18

s-a = 18 - 8 = 10

s-b = 18 - 16 = 2

s-c = 18 - 12 = 6

Area = sqrt(18*10*2*6) = sqrt(2160)

Area = 12*sqrt(15)

Area = 46.4758

Now x is easily found. It is the altitude to 16

Area = 1/2 16 * h

46.4758 * 2 / 16 = h

h = 3*sqrt(15)/2

h= 5.81

Ram bought a watch and sold to hari at 10% profit. Hari again sold it to Ram for rs 6,050 at 10% profit. i)find the cost price of Hari. ii) find the cost price of Ram.

Answers

Answer:

dame like y muchísimas estrella


The poll report includes a table titled, "Americans Using Cash Now Versus Five Years Ago, by Age." The age intervals are
not equal. Why do you think the Gallup organization chose the age intervals of 23-34, 35-54, and 55+ to display these
results?

Answers

Answer:

These are the entervals of the people who are atleast adults and are mature enough to take the surevy seriosly and answer correctly

Step-by-step explanation:

Simplify the complex number √-16+8.

Answers

Answer:

[tex]\sqrt{-16} +8[/tex]

[tex]=4i+8[/tex]

OAmalOHopeO

Which expression is the simplified form of -10 + 3x - x - 7x + 5x + 7 + 2x?
A. 4x-3
B. 2x - 3
C. -18x - 17
D. -X​

Answers

Answer:

B

Step-by-step explanation:

-10 + 3x - x - 7x + 5x + 7 + 2x

combine like terms

-10 + 3x - x - 7x + 5x + 7 + 2x

-3 + 3x - x - 7x + 5x + 2x

the -7x and the 5x + 2x cancel out to 0, so for the x terms we are left with 3x -x to get 2x

= 2x - 3

Find the measure of

Answers

Answer:

<L is 90°

Step-by-step explanation:

all angles at the center are twice the angles at the circumference and the angle at the center is 180 meaning the angle at the circumference will be half of 180

I hope this helps

Find the missing side lengths

Answers

4 because a 45-45-90 triangle has a side ratio of 1-1-sqrt2 with sqrt2 being the hypotenuse

Decide!!!!!!!!!!!!!!!!!!!

Answers

Answer:

n = {9, 10}

Step-by-step explanation:

Let the equation be:

n² - 19n + 91 = k²

Multiply both sides by 4 and complete the square:

4n² - 76n + 364 = 4k²(2n)² - 2(2n)(19) + 19² + 3 = 4k²(2n - 19)² - 4k² = - 3(2n + 2k - 19)(2n - 2k - 19) = -3

Since -3 = 1(-3) = (-1)*3, we have following options:

1)

2n + 2k - 19 = 12n - 2k - 19 = -3

Eliminate k by adding up equations:

4n - 38 = -24n = 36n = 9

2)

2n + 2k - 19 = -12n - 2k - 19 = 3

Eliminate k by adding up equations:

4n - 38 = 24n = 40n = 10

Which represents the polynomial below written in standard form?

StartFraction x squared Over 2 EndFraction – 3x + 4x3 + 6
6 + StartFraction x squared Over 2 EndFraction – 3x + 4x3
4x3 + StartFraction x squared Over 2 EndFraction – 3x + 6
–3x + 4x3 + 6 + StartFraction x squared Over 2 EndFraction
StartFraction x squared Over 2 EndFraction + 4x3 – 3x + 6

Answers

Answer:

B. [tex]4x^3}+\frac{x^2}{2}-3x+6[/tex]

Step-by-step explanation:

The polynomial is [tex]\frac{x^2}{2}-3x+4x^3}+6[/tex]

To write in Standard form, the greatest exponent goes first, down to the least.

The greatest exponent is 3, so [tex]4x^3[/tex] goes first.

[tex]4x^3}+\frac{x^2}{2}-3x+6[/tex] is what you end up with

Answer:

B

Step-by-step explanation:

I took the test.

What is the scale factor of this dilation?

A 2/3

B 1 1/2

C 3

D 5

Answers

Answer:

B. 1 1/2

Step-by-step explanation:

The post-image is clearly larger than the pre-image. The ratio of the post to the pre is 9 : 6 and 10 : 15, which are equal to 3 : 2, and equal to 1 1/2.

Which of the following expressions is equal to x2 +25?
O A. (x+10)(x-15)
O B. (x-51)(x+51)
OC.
-512
O D. (x+5)

Will give brainyliest answer

Answers

Answer:

Solution given:

x²+25=???

we have

formula

a²+b²=(a+b)²-2ab or (a-b)²+2ab

so

x²+25 =x²+5²=(x+5)²-2x*5=(x+5)²-10x

or

x²+25=x²+5²=(x-5)²+2x*5=(x-5)²+10x

:.

expressions is equal to +25 is

(x-5)²+10x

or

(x+5)²-10x

What do you know to be true about the values of p and q?

Answers

Answer:

p = q

Step-by-step explanation:

Angles in a triangle add up to 180°

For the left triangle:

180 = p + 20 + 80

p = 80

For the right triangle:

180 = q + 45 + 55

q = 80

Therefore, p = q

Combine these radicals.




Anyone can help pls

Answers

C. -26 square root of 3

The numbers 8,x,9 and 36 are in proportion.Find x​

Answers

If you can give the proportion then it would be better.

I am asuming

8:x::9:36

Then 8:x::1:4

So x = 32

Answered by Gauthmath must click thanks and mark brainliest

Answer:

x = 32

Step-by-step explanation:

[tex]\frac{8}{x}[/tex] = [tex]\frac{9}{36}[/tex] = [tex]\frac{1}{4}[/tex] ( cross- multiply )

x = 8 × 4 = 32

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