Find the 9th term of the geometric sequence 5, -25, 125

Answers

Answer 1

Answer:

The previous number keeps getting multiplied by - 5

Step-by-step explanation:

5 × -5 = -25

-25 × -5 = 125

125× -5 = -625

-625 × -5 = 3,125

3125 × -5 = -15,625

-15,625 × -5 = 78,125

78,125 × -5 = -390, 625

-390,625 × -5 = 1,953,125

1,953,125 × -5 = 9,765,625

:)

Answer 2

The 9th term of the geometric sequence is 5⁹.

What is a geometric sequence?

A geometric sequence is a special type of sequence where the ratio of every two successive terms is a constant. This ratio is known as a common ratio of the geometric sequence.

The formula to find nth term of the geometric sequence is [tex]a_n=ar^{r-1}[/tex]. Where, a = first term of the sequence, r= common ratio and n = number of terms.

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

To find the common ratio, divide the second term by the first term:

r = 25/5

r = 5

The formula for the nth term of a geometric sequence is:

aₙ = a₁ rⁿ⁻¹

Substitute n = 9, r = 5, and a₁ = 5:

a₉ = 5 (5)⁹⁻¹

a₉ = 5 (5)⁸

a₉ = 5⁹

Hence, the 9th term of the geometric sequence is 5⁹.

To learn more about the geometric sequence visit:

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

#SPJ2


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who need help in any subject i will try to help u

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Answer:

Im trying to answer some myself

Step-by-step explanation:

Algebraic fractions, Please help me

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Answer:

Write it on your own

Step-by-step explanation:

:-) :-)

I hope it helps you ❤️❤️❤️❤️

Can anyone solve this for me?

Answers

Answer:

4x + 3 = 11

4x = 11 - 3

4x = 8

x = 8 ÷ 4

x = 2

3x - 5 = 7

3x = 7 + 5

3x = 12

x = 12 ÷ 3

x = 4

8x - 5 = -37

8x = -37 + 5

8x = -32

x = -32 ÷ 8

x = -4

7(x - 3) = 21

7x - 21 = 21

7x = 21 + 21

7x = 42

x = 42 ÷ 7

x = 6

Which of the following is required to construct the inscribed circle of a triangle?
O A. the perpendicular bisectors of the sides of the triangle
OB. the orthocephyer of the triangle
oc the circumcenter of the triangle
O D. the incenter
Need asapppp

Answers

D incenter of a triangle

Inscribed circle of a triangle is the largest circle, contained in the triangle.

To construct the inscribed circle of a triangle the in-center is required. the option 3 is the correct option.

How to construct the inscribed circle of a triangle?

Inscribed circle of a triangle is the largest circle, contained in the triangle.

Steps to construct the inscribed circle of a triangle-

Step 1-Bisect one of the angle of the triangle.

Step 2-Now bisect the another angle of the triangle.

Step 3-The crossing point of both the angle bisects is the in center of the triangle and center of the required circle.

Step 4- Draw a perpendicular from this center to one of the side of the triangle.

Step 5-Now draw a circle using the compass with the in center as a center of the and radius equal to the perpendicular from the in center to one of the side.  

Thus to construct the inscribed circle of a triangle the in-center is required. the option 3 is the correct option.

Learn more about the inscribed circle of the triangle here;

https://brainly.com/question/12199537

what is -2+9 (8) (1/2)​

Answers

Answer:

28

Step-by-step explanation:

-2+9 (4)=7(4)=28

Given the equation 8x - 2y = 4, what is the value of
slope (m) and the value of y-intercept (b)

Answers

Answer:

slope (m) = 4

y-intercept (b) = -2

Step-by-step explanation:

what is needed in order to write the equation of a line in slope intercept form

Answers

Answer:

Step-by-step explanation:

you only need the rate of change and the y intercept.

Use the drop-down menus below to create an equation that represents the line on the graph.

Answers

y = -4x - 8

Explanation

what is that area of the trapezoid

a)50in

b)108in

c)126in

b192in

Answers

Answer:

c) 126 inches of the answer

Answer:

C. 126 inches²

Step-by-step explanation:

To find the area of a trapezoid multiply the sum of the two bases (12 + 16) and the height divide by 2 (9 / 2) by each other

(12 + 16)9/2

Add 12 and 16 to get 28.

28(9/2)

Multiply 28 by 9 to get 252.

252/2

Divide 252 by 2 to get 126.

The area of the trapezoid is 126 inches².

Warm-Up
82
80
1. The value of y
varies directly with
X. When y = 6.5, X
= 4. What is the
value of y when x
is 12?
78
Temperature (°F)
76
g
74
72
2. W
inter

Answers

Answer:

[tex]y=2\frac{1}{6}[/tex] or [tex]\frac{13}{6}[/tex]

Step-by-step explanation:

We know that [tex]x[/tex] and [tex]y[/tex] are directly proportional. Therefore, using the given information, we can set up the following proportion:

[tex]\frac{6.5}{12}=\frac{y}{4}[/tex]

Solving for [tex]y[/tex], we get:

[tex]\frac{6.5}{12}=\frac{y}{4}[/tex]

[tex]12*y=6.5*4[/tex] (Cross-Products Property)

[tex]12y=26[/tex] (Simplify)

[tex]\frac{12y}{12} =\frac{26}{12}[/tex] (Divide both sides of the equation by [tex]12[/tex] to get rid of [tex]y[/tex]'s coefficient)

[tex]y=2\frac{1}{6}[/tex] or [tex]\frac{13}{6}[/tex] (Simplify)

Hope this helps!

plz help me due today

Answers

Answer:

the suare root of nine is rational (bc its 3) the other two are not

Step-by-step explanation:

can i get brainliest please???

it would be very much appreciated

have a nice day :)

please hurry! I will give brainliest

Answers

Answer:

5cm

Step-by-step explanation:

diameter=10cm

radius is 1/2 of diameter

10/2=5

Kyung bought 3 CDs that cost x dollars each, 2 DVDs that cost $10 each; and a book that cost $15. Write an expression in simplest form that represents the total amount that Kyung spent

Answers

Answer:

Step-by-step explanation:

3x + 2·10 + 1·15 = (3x + 35) dollars

If the line containing the points (-2,10) and (7, 4) is dilated by a factor of 2, what is the
slope of the image?
ASAPPP NUMBER 2

Answers

Answer: Slope = -2/3

===================================================

Explanation:

Let's compute the slope of the line through the two original points

m = (y2-y1)/(x2-x1)

m = (4-10)/(7-(-2))

m = (4-10)/(7+2)

m = -6/9

m = (-2*3)/(3*3)

m = -2/3

The slope is -2/3

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

Now apply the scale factor.

We'll multiply each coordinate of each point by 2

(-2,10) becomes (-4,20) after multiplying each coordinate by 2

(7,4) becomes (14,8) after multiplying each coordinate by 2

Let's find the slope of the line through (-4,20) and (14,8)

m = (y2-y1)/(x2-x1)

m = (8-20)/(14-(-4))

m = (8-20)/(14+4)

m = -12/18

m = (-2*6)/(3*6)

m = -2/3

We get the same slope. This isn't a coincidence. Dilating a set of points will preserve the slope of the line through those points.

If A and B are the two original points, and A' and B' are the dilated counterparts, then the slope of line AB is the same as the slope of line A'B'.

The scale factor doesn't affect the answer.

Help me. And fasttttttttt.

Answers

Answer:

[tex]\sqrt{85}[/tex] = 9.2195 = 9.22

[tex]\sqrt{17}[/tex] = 4.123

Step-by-step explanation:

What is the distance from P to Q?
A. 1 unit
B. 25 units
C. 7 units
D. 5 units

Answers

Answer: D. 5 units

Step-by-step explanation:

[tex]d=\sqrt{(x_{2} -x_{1} )^{2} +(y_{2} -y_{1} )^{2} } \\\\PQ=\sqrt{(3-(-1) )^{2} +(-1-(-4) )^{2} } \\\\PQ=\sqrt{4^{2}+3^{2} } \\\\PQ=\sqrt{16+9} \\\\PQ=\sqrt{25} =5[/tex]

what is the vertex of f(x)=x^2+12x=31

Answers

Answer:

x

=

±

5

6

Decimal Form:

x

=

3.76393202

,

8.23606797

Step-by-step explanation:

Graphing inequality

Answers

Answer:

1) open dot on 1 and make a line going towards -10

2) closed dot on -6 doing towards 10

Step-by-step explanation:

When it has the line under it means that its included which is why u use a closed dot :)

hope this helps

Scott runs on a daily basis. He runs 3.2 miles every day except Saturday, when he runs 7 miles. How many miles will he jog in three weeks? plsss

Answers

Answer:

It's 78.6

Step-by-step explanation:

I hope this helps you

Solve 4x^2+8x+7=0 using the quadratic formula
Thanks

Answers

This was very difficult to solve and the answers are complex but i managed to get them down to +0.87 or -0.87.

-2 (z + 11) = 6

Please help. You have to use distributive property.

Answers

Answer:

-14

Step-by-step explanation:

-2(z+11)=6

-2z-22=6

-2z=28

z=-14

How many days is in:

3 weeks
5 weeks
7 weeks
9 weeks​

Answers

Answer:

3 weeks 21 days, 5 weeks 35, 7 weeks 49, 9 weeks 63 days

Step-by-step explanation:

Each week is 7 days

3 weeks- 21 days
5 weeks- 35 days
7 weeks- 49
9 weeks- 63

A farmer has a square plot of land he needs defense he walked to the diagonal of the plot of land and found it to be 80 yards how much fencing will he need to fence the plot of land?

Answers

Answer: i think the answer is 320

Step-by-step explanation:

i say 320 because a square has 4 sides and there is 80 yards so all i did is multiply 80 x 4 = 320

Answer:

Step-by-step explanation:

[tex]d^2=x^2+x^2\\ \\ 2x^2=80^2\\ \\ 2x^2=6400\\ \\ x^2=3200\\ x=\sqrt{3200}\\ \\ P=4x\\ \\ P=4\sqrt{3200}yds\\ \\ P\approx 226.27yds[/tex]

Luca has 13 more crayons than Sam. If Luca has 42 crayons, how many crayons does Sam have ?

I know the answer, I just need an expression for the word problem.

Answers

Answer:

Luca has 55 crayons as 42 + 13 = 55

Will give brainliest!

The discriminant of a quadratic is 40. How many solutions does the quadratic have?

Answers

Answer:

it means that the roots of the quadratic equation is real and distinct and that means that 40 is a positive value

HELP, QUICK!!! PLEASEEEEEEEEEEEE

Answers

Answer:

measure 2 =63

measure 3 =41

measure 4=76

measure 6=41

Step-by-step explanation:

What did they do wrong? If u don’t know don’t answer and if ur right I’ll give u brainliest

Answers

They subtracted 5 on both sides of the equation. They were suppose to add 5 on both sides of the equation for it to cancel out each other. If you need any further explanation, please ask me :)

Correct version:

5y + (-5) = 10

       +5     +5    add 5 to both sides, 5's will cancel out on left side.

___________

5y     15

__ = __        divide 5 on both sides, 5's will cancel out on left side.

5      5

y = 3, final answer

Answer:

its the first part the (-5) -5  is supposed to be (-5) +5

Step-by-step explanation:

so the equation is 5y=15

then you divide 5y/5 is y so then you 15/5 is 3

so the answer is y=3

I don’t know the answer help

Answers

Answer:

c = -4

Step-by-step explanation:

Let's solve your equation step-by-step.

13

4

+c=−

3

4

Step 1: Simplify both sides of the equation.

13

4

+c=−

3

4

13

4

+c=

−3

4

c+

13

4

=

−3

4

Step 2: Subtract 13/4 from both sides.

c+

13

4

13

4

=

−3

4

13

4

c=−4

Answer:

Move all terms not containing  c  to the right side of the equation.

c = - 4

Step-by-step explanation:

. Sam constructed a shape using polygons as shown in the diagram below. Sam measured the sections of his design so it can become part of the class mural to be painted at the school. What is the area of Sam’s design in square centimeters? +/- .

Answers

Answer:

I think its 167

Step-by-step explanation:

15x10=60

3x5=15

3x5=15

5x10=50

9x3=27

add all that and you get 167

ANSWER IMMEDIATELY
Which of the following best describes the number of solutions to the system of equations shown below?

2x+y=3
-4x-2y=-6

Answers

Answer:

2*1/2+2=3

-4x-2y=-6 is x=−1/2y+3/2

Step-by-step explanation:

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