If a1 = 4 and an =
- 4 an–1 then find the value of a6.

Answers

Answer 1

Answer: -4096

Step-by-step explanation:

If A1 = 4 And An =- 4 An1 Then Find The Value Of A6.
Answer 2

The 6th term of the geometric sequence is; -4096.

What is a geometric sequence?

A geometric sequence is a sequence in which the result of the division of consecutive terms is always the same, called common ratio q.

The nth term of a geometric sequence is given as:

[tex]a_n = a_1q^{n-1}[/tex]

In which a1 is the first term.

For this problem, we have :

The first term is  a1 = 4 and an =- 4 an–1  .

Therefore, the common ratio is q = -4.

Now the 6th term of the sequence is found as :

[tex]a_6 = 4(-4)^{5[/tex]

a_6 = - 4096

More can be learned about geometric sequences at brainly.com/question/11847927

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Related Questions

What is the product of
(3y^-4) (2y^-4)

Answers

Answer:

Step-by-step explanation:

3(2)* y-4*y-4

6 y to the negative 8

if my answer helps please mark as brainliest.

WILLLLLLLLLLLL MARK BRAINLISTTTTTTT

Answers

Answer:

f (8) = ( -161 )

Step-by-step explanation:

[tex]f(x)=-3x^{2} +3x+7[/tex]

To find f(8) sub 8 for x in the equation and simplify:

[tex]f(8)=-3(8^{2} )+3(8)+7[/tex]

= -192 + 24 + 7

= -168 + 7

= -161

so f(8) = -161

Mrs. Brown has a flower garden in the shape of a parallelogram.
The length of the base of the garden is 9.5 feet and the height is
4.2 feet. What is the area of the flower garden?
A 19.95 ft? B 27.4 f? C 30.7 ft? D 39.9 ft?

Answers

Area of flower garden is 39.9 square feet

Solution:

Given that, flower garden in the shape of a parallelogram

The length of the base of the garden is 9.5 feet and the height is 4.2 feet

To find the area of a parallelogram, multiply the base by the height

The formula for area of parallelogram is:

 From given,  

Base = 9.5 feet

Height = 4.2 feet  

Substituting the values in formula,

Thus area of flower garden is 39.9 square feet

(hope this helps can i plz have brainlist :D hehe)

Answer:

D

Step-by-step explanation:

A=bh

A=(9.5)(4.2)

A=39.9 ft

the hymn of primeval men addressed fixed social groups in vedic society known as :
a. karma
b.varna
c.skandas
d.dharma

Answers

answer is B. varna because it is a religious chant ok f India from the Vedas in ancient cultures of Hinduism

Yeric designs a circular cushion by cutting pieces of fabric to sew together as the front and back of the cushion. He cuts each piece of fabric according to the equation x2 + y2 = 100 with units in inches. Based on this equation, what is the diameter of the cushion?

5 in.
10 in.
20 in.
100 in.

Answers

Answer:

c // 20 inch

Step-by-step explanation:

edg 2021 ^u^

The diameter of the cushion is 20 inch, the correct option is C.

What is the standard equation of a circle?

The standard equation of a circle is given by

(x -h)² + (y-k)² = r²

The equation is x² +y² = 100

When this equation is compared to the standard equation

r² = 100

r = 10 inch

Diameter = 2 * radius

Diameter = 2 * 10

Diameter = 20 inch

To know more about Standard Equation of a Circle

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Factor completely: x2-4

Answers

Answer:

(x+2)(x-2)

Step-by-step explanation

x times x equals x^2, 2 times x equals 2x, -2 times x equals -2x, and 2 times -2 equals -4. If you add that up, the x-values cancel out, leaving the x^2 and the -4. (This explanation is working it backwards which is the easiest way IMO)

plssssss help soonnnnnnn

Answers

Answer:

senior tickets= $15

student tickets= $3

Step-by-step explanation:

1C+12S=51

(5C+6S=93)^-2

1C+12S=51

-10C-12S=-186

-9c=-135

divide both sides by -9

C= 15

to get the student tickets

51-15=36

12S=26

= $3

pls help ill give brainliest !!

Answers

Answer:

4

Step-by-step explanation:

[tex]\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}[/tex]

Actually Welcome to the Concept of the linear equations.

so we solve here as,

==> -4(-2y+3)=20

==> 8y -12 = 20

==> 8y = 20+12

==> 8y = 32

==> y = 4

hence value of y = 4 .

plz help me math doesnt like me

Answers

Answer:

hello

Step-by-step explanation:

i think diameter is 13 cm

but radius is equal to 13/2=6,5cm

hope it helps

have a nice day

bye

-PLEASE HELP ASAP-
The first figure is dilated to form the second figure.
Which statement is true?

A)The scale factor is 0.25.

B)The scale factor is 4.

C)The scale factor is 4.35.

D)The scale factor is 7.25.

Answers

Answer:

C

Step-by-step explanation:

5.8 - 4.35= 1.45

how many milliliters are in 10 teaspoons?
1 tsp = 5mL
10tsp = ?? mL

Answers

Answer:

49.2892...... mL

Step-by-step explanation:

Answer:

10tsp=50mL

Step-by-step explanation:

What is the sum?
3
2.

Answers

The sum of the question is 5.

5x+2y =3
3x+2y=5

(1,4)
(-1,4)
(4,1)
Which one is it

Answers

Answer:

it would be -1, 4

-1 x 5 = -5 and 2 x 4 = 8 so -5 + 8  = 3

-1 x 3 = -3 and 2 x 4 = 8 so -3 + 8 = 5

hard question!!!please help me !
there is english below ​

Answers

9514 1404 393

Answer:

  t = ±√3

Step-by-step explanation:

The first equation tells us ...

  x^2 +tx +2 = (x -h)(x -k)

 x^2 +tx +2 = x^2 -(h+k)x +hk

Comparing coefficients, we have the equations ...

  t=-(h+k)

  2 = hk

__

The second equation tells us ...

  2x^2 +mx +2m = 2(x -h/k)(x -k/h)

  2x^2 +mx +2m = 2x^2 -2(h/k +k/h)x +2

Comparing coefficients, we have the equations ...

  m = -2(h/k +k/h)

  2m = 2

__

Dividing the last equation by 2 gives ...

  m = 1

Using that in the third equation, we have ...

  1 = -2(h/k +k/h) = -2(h^2 +k^2)/hk

Using hk = 2, this gives us ...

  h^2 +k^2 = -1

From the first equation, we know ...

  t^2 = (-(h+k))^2 = h^2 +2hk +k^2 = (h^2 +k^2) +2(hk)

Substituting the values for these terms, we have ...

  t^2 = -1 + 2(2) = 3

  t = ±√3

Possible values of t are √3 and -√3.

what is the amplitude of y = 3[6(x-4)] - 5

Answers

'I hope my answer helps you'

Question: y = 3cos[6(x-4)] - 5

Answer: 3

Step-by-step explanation:

The reason for this is in order to find amplitude, it's always the number before "cos" or "sin". Also, the "[6(x-4)]" was just a distraction to throw you off

Here's a trick to find everything; amplitude, period, phase sift, etc.:

      y = A sin(B(x + C)) + D

* amplitude is A

* period is 2π/B

* phase shift is C (positive is to the left)

* vertical shift is D

The radius of a circle is 3 millimeters. What is the circle's circumference?

Answers

Answer:

18.84

Step-by-step explanation:

Since the radius is 3 mili then we have to multiply 3 by 2 to get the diameter. Then multiple the diameter and pie 6×3.14 is 18.84.

Which of the following best describes how the y values are changing over each interval?

x y
1 2
2 4
3 8
4 16
5 32

They are increasing by 2 each time.
They are increasing by 4 each time.
They are being multiplied by 2 each time.
They are being multiplied by 4 each time.

Answers

Answer: They are being multiplied by 2 each time

Step-by-step explanation:

2x2=4 4x2=8 8x2=16 16x2=32  

Answer:

They are being multiplied by 2 each time

Step-by-step explanation: hope it helps ^w^

Classify the number 1/2 into as many categories as it belongs: Natural number, whole number, integer, or rational number.

.natural number
.whole number
.integer
.rational number

Answers

ratinol rational number

What is the difference between the 12th square number and the
7th square number?

Answers

Answer:

95

Step-by-step explanation:

12th square number

= 12 × 12

= 144

7th square number

= 7 × 7

= 49

Difference between the 12th square number and the

7th square number

= 12th square number - 7th square number

= 144 - 49

= 95

Difference between the 12th square number and the

7th square number = 95

LMNP is rotated 180° clockwise around the origin.

Answers

Answer:

The correct answer is B

Step-by-step explanation:

-3,-4

Coordinates of M are (-3, -4) as LMNP rotates 180° clockwise.

What is clockwise rotation?

" Clockwise rotation means when any object is moving in the direction of hands of clock."

According to the question,

As per the diagram ,

Coordinates of M are ( 3, 4)

Rotation of a point through 180° about the origin when a point M( x, y) is rotated about the origin through 180° in anticlockwise or clockwise direction, it takes the new coordinates ( -x ,-y).

Therefore , coordinates of M are ( -3, -4).

Hence, coordinates of M are (-3, -4) as LMNP rotates 180° clockwise.

Learn more about clockwise rotation here

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how to solve this 7/8 n=63

Answers

Answer : n=72

Explanation: 7/8 n = 63
Multiply both sides of the equation by 8/7
8/7 x 7/8 n = 8/7 x 63
Reduce the numbers with the greatest common factor 8
1/7 x 7n = 8/7 x 63
Reduce the number with the greatest common factor 7
n=8/7 x 63
Reduce the number with the greatest common factor 7
n=8 x 9
Multiply the number
n=72
That’s how I got the answer

help me out please T-T​

Answers

Answer:

The simplyfied version would be 19/4

Show of work:

(1/4)^-2 = 4^2

3 × 8^2/3 × 1 = 12

(9/16)^1/2 = 3/4

4^2 - 12 + 3/4

Convert elements to fractions:

-12 × 4 + 3

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

4 4

Since the denominators are equal combine the fractions:

-12 × 4 + 3

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

4

-12 × 4 + 3 = -45

= -45/4

=4^2 - 45/4

4^2 = 16

16 - 45/4

16 × 4 - 45. 16 × 4 - 45

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

4 4. 4

-> 16 × 4 - 45 = 19

= 19/4

the simplified fraction would be 19/4

Question 4
If f(x) = 12 - 3| + 7, then which of the following is the value of f(1)?
1)11
2) 13
3)9
4)17

Answers

Answer:

f(1)= 12-31+7

Step-by-step explanation:

f(1) = -12

what is the solution for the equation y=1/4x-7

Answers

Answer:

There are an infinate amount of solutions

Step-by-step explanation:

how many tiles of 10cm by a 6cm will be needed to pave a rectangular path of 5m by 3m
Explanation properly​

Answers

Answer:

2500 tiles

Step-by-step explanation:

convert the path to the same units, one m = 100 cm

path= 500 cm x 300 cm

path area = 150,000 cm^2

each tile = 10x6 = 60 cm^2

150,000/60 = 2500 tiles

simplify the following 35÷32
plz help me out!!​

Answers

35/32 = 35/32

If the numerator is greater than or equal to the denominator of a fraction, then it is called an improper fraction. In that case, you could convert it into a whole number or mixed number fraction.

35/32 = 1 3/32

Answer: 1.09375

Step-by-step explanation:

35÷32 is already in the simplest form. It can be written as 1.09375 in decimal form (rounded to 6 decimal places).

M and N are similar shapes. Work out the missing lengths, x and y.


HELP

Answers

x=3.8 y=6 I hope this helps!

Step-by-step explanation:

x=3.8 y=6 is your answer right answer

A regular hexagon is rotated in a counterclockwise direction about its center. Determine and state the minimum number of degrees in the rotation such that the hexagon will coincide with itself.​

Answers

It’s 60°

360 / 6 = 60°

The minimum number of degrees in the rotation such that the hexagon will coincide with itself is 60°

What is hexagon?

Hexagons are six-sided polygons in geometry. A hexagon is said to be a regular hexagon if all of its sides and angles have identical lengths. To put it another way, a regular hexagon's sides are congruent.

Given that, Around its center, a regular hexagon is rotated counterclockwise.

We are aware that a hexagon has six sides.

There are also 360 degrees.

According to the data given, the calculation is as follows:

= 360 /60

= 60 degrees.

Therefore, we may say that the rotation must be at least 60 degrees in total.

Learn more about hexagons here:

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Which applies the power of a power rule properly to simplify the expression (710)5?
(710)5= 710 ÷ 5 = 72
(710)5= 710 - 5 = 75
(710)5= 710 + 5 = 715
(710)5= 710 · 5 = 750

Answers

Answer:

D;(710)5= 710 · 5 = 750

Step-by-step explanation:

Suppose f(x) is a function such that if p < q, f(p) < f(q). Which statement best describes f(x)?

Answers

Answer:

a because a is the answer

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