What is the recursive formula for this geometric sequence?
-3, -21, -147, -1029, ...

Answers

Answer 1

Answer:

Step-by-step explanation:

First of all the first term is a1 and that's equal to -3

Every term is multiplied by 7

So the recursive formula is

an = 7*a_(n-1)

a2 = 7*a_(1 -1)

a2 = 7*-3

a2 = - 21

Now try a_4

a_4 = 7*a_3

a_3 = -147

a_4 = 7*(-147)

a_4 = -1029


Related Questions

Someone please help me

Answers

[tex]( {9x}^{2} - 4)( {9x}^{2} + 4) \\ (3x - 2)(3x + 2)( {9x}^{2} + 4)[/tex]

Which expressions are in simplest form? Check all that apply.​

Answers

a^-9


Because you can simplify the rest the answers

can someone help me with this and give an explanation on how to do it? So i can know with the others.

Answers

Answer:

Values of y in order: 0, 2, 4, 6

Step-by-step explanation:

Hi there!

In the table, the first value of x is -2. To find the value of y for this row of the table, we can use the given equation [tex]y=2x+4[/tex].

[tex]y=2x+4[/tex]

Plug in -2 as the value of x

[tex]y=2(-2)+4\\y=-4+4\\y=0[/tex]

Therefore, y is 0 when x is -2. (In the table, in the row where x is -2, y would be 0.)

We repeat this process for the rest of the values in the table.

When x=-1:

[tex]y=2(-1)+4\\y=-2+4\\y=2[/tex]

When x=0:

[tex]y=2(0)+4\\y=0+4\\y=4[/tex]

When x=1:

[tex]y=2(1)+4\\y=2+4\\y=6[/tex]

I hope this helps!

Find the equation of the line shown.
У.
4
3
2
х
4-3-2-19
B 46

Answers

Answer:

The equation is:

Y=2x-1

What are the solutions to the quadratic equation 3(x – 42 = 752

Answers

X=292.6

Step 1: distribute 3 through parentheses
3x-126=752

Step 2: move the constant to the right and change it sign
3x= 752+126

Step 3: add the numbers
3x= 878

Step 4: divide both sides by three
X= 878/3 or 292.6

Someone pls help me ill give out brainliest pls don’t answer if you don’t know

Answers

Hello!

(1/3)^2x = (1/3)^x+14 <=>

<=> 2x = x + 14 <=>

<=> 2x - x = 14 <=>

<=> x = 14

Good luck! :)

Iliana rotated trapezoid WXYZ 180° about the origin.

On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).

What is the correct set of image points for trapezoid W’X’Y’Z’?

W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)

Answers

Answer:

W'(4, -2), X'(3, -4), Y'(1, -4), Z'(0, -2)

Step-by-step explanation:

Its A Your Welcome :)

Answer:

A.

Step-by-step explanation:

How can Preena share 11 identical apples among 30 of her classmates evenly so that no apple is sliced into more than 10 pieces?

Answers

Answer:

Step-by-step explanation:

you can divide 11/30 and get 0.37

0.37%/ 100*11 =

Multiply:

0.37*11 =

add the 100 to the product you multiplied and divide them together:

4.07/100=

your quotient:

0.0407

round by 2 decimals:

0.04

your final answer is :

0.04

john owns a truck. he rents out the truck with himself as a driver for $75 per hour. last month john earned $6375 how many of hours of work is that for john and his truck.

Answers

it would be 85 hours because 6375÷75=85

Which of the following represents the divisor and the dividend for the
synthetic division problem below?


Answers

Answer:

option D is correct

Step-by-step explanation:

Given data

From the given expression/options of answers, option D is correct

This is because the given expression in the attached file corresponds to the terms in option D

Help me please ASAP thank you

Answers

Answer:

The first one: 3x+4=-2x-1

Step-by-step explanation:

3(-1)+4=1

-2(-1)-1=1

the answer is A or 3x + 4 = -2x + 1

Helpppp me plzzzzzzxzz

Answers

Can you please take a better picture so I can see it better

Fill in the missing numbers.
0, 1, 5 ,4 ,...., 12 ,.....​

Answers

Answer:

the answer is 0,1,2,3,4,5,6,7,8,9,10,11,12,13,14, etc........

0,1,2,3.... is a whole number

1,2,3,4.......is a natural number

help plsssssssssssssssssssssssssssssss

Answers

Answer

5

All you need to know to solve this problem is the pythogorean theorem. If you draw an imaginary line to make a triangle and a rectangle, you already know the height is 4. To find the base, you know that the bottom length is 9 and the top is 6 so 9-6 =3, which is the length of only the left side of the imaginary line.

So 4^2 + 3^2 = c^2

25 = c^ 2

5 = c

Hope that helps!

Hope this will hopeful


[tex]solve : - \\ \\ factorise \: (x {}^{2} + 30x + 216) \\ \\ please \: help \: [/tex]

Answers

Answer:

[tex](x+12)(x+18)[/tex]

Step-by-step explanation:

[tex] {x}^{2} +30x+216[/tex]

[tex](x+12)(x+18)[/tex]

Hope it is helpful....

x²+30x+216

on factorizing we get

(x+12)(x+18)

Therefore, x= -12 or -18

Help, someone please lol

Answers

Answer:

2x+5x^2=1

2x+5x*5x=1

2x+25x=1

27x=1

1/27=x

Hope This Helps!!!

Answer:

D. 24

Hope it helps!

Henri bought a swim suit at a cost of $8. Which statements are true regarding the cost of the suit?

Answers

Answer:

What are the statements?

Step-by-step explanation:

Find the measure of the indicated angle

Answers

Answer:

73 degrees

Step-by-step explanation:

The line on the two sides of the triangle indicates that the triangles is isosceles. This means that the base angles are congruent.

prove that:sin3A/sinA - cos3A/cosA=2​

Answers

The result essentially follows directly from the triple-angle identities,

sin(3A) = 3 sin(A) cos²(A) - sin³(A)

cos(3A) = cos³(A) - 3 sin²(A) cos(A)

Then

sin(3A)/sin(A) = 3 cos²(A) - sin²(A)

cos(3A)/cos(A) = cos²(A) - 3 sin²(A)

and

sin(3A)/sin(A) - cos(3A)/cos(A)

= 3(cos²(A) + sin²(A)) - (sin²(A) + cos²(A))

= 3 - 1

= 2

After substituting, what is the first step when evaluating vegy 4 2 when x 6?
O Multiply 3 by 5
O Add 5 and 3
Subtract 4.2 from 5
Add 3 and 4.2 hurry I'm being timedd!!!

Answers

Answer:

Multiply 3 by 5

Step-by-step explanation:

After substituting, what is the first step when evaluating x+3x-4.2 when x=5

Given:

x + 3x - 4.2

when x = 5

Substitute x = 5 into the expression

x + 3x - 4.2

= 5 + 3(5) - 4.2

= 5 + 15 - 4.2

= 20 - 4.2

= 16.8

x + 3x - 4.2, when x = 5 is 16.8

After substituting, the first step when evaluating x + 3x - 4.2 when x = 5 is Multiply 3 by 5

Use the zero product property to find the solutions to the equation x2 + 12 = 7x.
x = –4 or x = 3
x = –4 or x = –3
x = –3 or x = 4
x = 3 or x = 4

Answers

Answer:

x= 4, 3

The choose (d)

Step-by-step explanation:

x²+12=7x

x²-7x+12=0

(x-3)(x-4)=0

x=3

or x=4

Answer:

D

Step-by-step explanation:

on edge

find second derivation for function f(x)=x²-(2/x)​

Answers

Hi there!

[tex]\large\boxed{f''(x) = 2 - \frac{4}{x^{3}}}[/tex]

[tex]f(x) = x^2 - \frac{2}{x}[/tex]

Recall the power rule:

[tex]\frac{dy}{dx} x^n = nx^{n-1}[/tex]

Rewrite the function for ease of differentiation:

[tex]f(x) =x^2 - 2x^{-1}[/tex]

Use the power rule:

[tex]f'(x) = 2x + 2x^{-2}[/tex]

Take the derivative once more:

[tex]f''(x) = 2 - 4x^{-3}[/tex]

Rewrite:

[tex]f''(x) = 2 - \frac{4}{x^{3}}[/tex]

I need help figuring out what the answer is.

Answers

Answer:

A

Step-by-step explanation:

The width of this rectangle is measured as 19.4 correct to 1 decimal place. What is the lower bound for the area of the rectangle

Answers

Answer:

:D

Step-by-step explanation:

19.35 = 7062.75 mm²

Solve using suitable properties. Also mention the names of the property used. -3/4 × 4/5 - 1/2 × 1/4 +4/5 × 7/5​

Answers

Answer:

0.395

Step-by-step explanation:

We need to solve the given expression.

[tex]-\dfrac{3}{4}\times \dfrac{4}{5}-\dfrac{1}{2}\times\dfrac{1}{4}+\dfrac{4}{5}\times \dfrac{7}{5}[/tex]

We can also write it as :

[tex]-\dfrac{3}{4}\times \dfrac{4}{5}+\dfrac{4}{5}\times \dfrac{7}{5}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}(\dfrac{-3}{4}+\dfrac{7}{5})-\dfrac{1}{2}\times\dfrac{1}{4}[/tex](Distributive property is used)

So,

[tex]=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{2}\times\dfrac{1}{4}\\\\=\dfrac{4}{5}\times \dfrac{13}{20}-\dfrac{1}{8}\\\\=\dfrac{13}{25}-\dfrac{1}{8}\\\\=0.395[/tex]

So, the value of the given expression is equal to 0.395.

If the value of a is negative the line is what?

Answers

Answer:

Down to the right.

Like down hill

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

in the equation y = ax, a would be the slope

if the slope is negative, then the line goes from down to the right

I did an example on desmos to show you

use the graph to find the value of y=sin q for the value of q 330​

Answers

Answer:  A) -0.5

Explanation:

Each tickmark is an increment of 30. Start at 270 and move 1 tickmark over to get to 270+30 = 300. Then another tickmark to the right gets us to 330.

Then from here, head straight down until you get to the curve. You should arrive at the point (330, -0.5)

So q = 330 pairs up with y = -0.5

I need help ASAP please help! I have to choose between 4 graphs

Answers

Answer:

Step-by-step explanation:

This is a sideways cubic translated down 2 units. The graph shown is the sideways cubic translated up 2. So locate the graph that looks like this but has its "squiggly part" at -2 instead of 2.

Its about similar figures and scale drawing
No links

Answers

Answer:

5 in

Step-by-step explanation:

by doing a proportion of 2/4 for the known sides, you can find that the smaller triangle has sides that are half of the larger one. so 10/2 equals 5

Answer: X = 5

Step-by-step explanation:

4 divided by 2 = 2

So 10 divided by 2 = 5

f(x)=-x^2-9x find f(-2)

Answers

Answer:

14

Step-by-step explanation:

put -2 where x is

f(x)=-x^2-9x

f(-2)= -(-2)^2 -9(-2)

f(-2)= -4 + 18

f(-2)= 14

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