Mathematics High School

Find an explicit formula for the geometric sequence -40,-20,-10......
Note: the first term should be c(1).

c(n)= ?

​

Answers

Answer 1

Answer:

The explicit formula for the geometric sequence is [tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex].

Step-by-step explanation:

By definition of geometric sequence, we should use the following expression:

[tex]c(n) = c_{1}\cdot r^{n-1}[/tex], [tex]n \ge 1[/tex] (1)

Where:

[tex]c_{1}[/tex] - First term.

[tex]r[/tex] - Geometric rate.

[tex]n[/tex] - Position of the element within the series.

If we know that [tex]c_{1} = -40[/tex] and [tex]r = \frac{1}{2}[/tex], then the explicit formula for the geometric sequence is:

[tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex]

The explicit formula for the geometric sequence is [tex]c(n) = -40\cdot \left(\frac{1}{2} \right)^{n-1}[/tex].

Related Questions

Given: t is tangent at B

is diameter



If m = 110°, then m =

70
80
110

Answers

Answer:

70

Step-by-step explanation:

Given

∠PDB = 110°

PDis the tangent to the circle whose centre is E

Construction

Join points D and E.

∠DPE= 90° [Since angle in a semi circle is 90°]

Also ∠PDE = 90° [Since radius ⊥ tangent]

From the figure we have,

∠PDB=∠PDE + ∠DBE

i.e. 110° = 90° + ∠DBE

Therefore, ∠DBE =20°

Now in ΔBED, BE = ED [Radii]

So, ∠EDB = ∠EBD =20°

In ΔBPD, we have

∠DPE = 90° & ∠DBE = 20°

Therefore, ∠DPB = 70°

Answer:

70 is the correct answer

Step-by-step explanation:


Kyle had a balance of -5 dollars in his checking account. After he deposits a certain amount of money into the account, the balance is now 15 dollars.
How much money did Kyle deposit into his checking account?

Answers

Answer:

$20

Step-by-step explanation:

start with an equation. 15-(-5)=x. double negatives make positive so it becomes 15+5=x. therefore 20=x (x being the number kyle deposited).

Find the inverse for me please

Answers

Answer:

(C). [tex]f^{-1}[/tex] = ( x + 4 )² ; x ≥ 0

Step-by-step explanation:

How long of a shadow would a 6-
foot man cast?​

Answers

Answer:

it depends on where the light source is

3) The cost of a movie ticket and a candy bar is $5. The cost of 2 tickets
and a candy bar is $8.75. How much is a candy bar? *

Answers

Answer:

$1.25

Step-by-step explanation:

Given data

let the movie ticket be x and the candy bar be y

x+y= 5-------------1

also

2x+y= 8.75--------2

solve 1 and 2

x+y= 5

2x+y= 8.75

from 1

x= 5-y

put this inplace of x in 2

2(5-y)+y=8.75

10-2y+y= 8.75

10-y= 8.75

10-8.75=y

y= 1.25

Hence candy bar is $1.25

The Washington Monument is an obelisk with a square pyramid top. The slant height of the pyramid is 55.5 feet, and the square base has sides of 34.5 feet. Find the surface area of the pyramid.​

Answers

the answer to your question is 3829.5 ft^2

Pls help, I will give brainliest.

Answers

Answer:

sup

Step-by-step explanation:

There’s nothing to answer!! Can I have brainlyist I just need one more:)))

Help pls show brainly

Answers

Answer:

10

Step-by-step explanation:

125 divided by 12.5

Answer: 10 dresses

Step-by-step explanation:

125/12.5=10

For every dress she needs 12 1/2 yards of fabric so what multiple of 12.5 is equal to or less than 125 and thats 10

Pls help me pls I’ll give brainliest pls dont answer if you don’t know

Answers

Answer:

x=-2

Step-by-step explanation:

Like terms are terms that are like each other

2x and x both have x

3 and 9 are both constants

Move them so they are next to each other

-2x-x=9-3

-3x=6

x=-2

Two groups of students were asked how far they lived from their school. The table shows the distances in miles:


Group A (distance in miles) 1 1.5 3.03 3.2 2.8 1.5 1.8 2.5 2.2
Group B (distance in miles) 2 2.5 3.23 1.3 1.8 2.4 3 1.5 1.8


Which statement best compares the mean distances for the two groups?
It is equal for Group A and Group B.
It is greater for Group B than Group A.
Its value for Group A is double the value for Group B.
Its value for Group B is double the value for Group A.

Answers

Answer:

B

Step-by-step explanation

add all numbers then divide by the number of numbers and you get the means

Answer:

B

Step-by-step explanation:

Please help me will mark brainliest

Answers

B A C

The longest angle is opposite to the longest side in a triangle. The same goes for the shortest and middle angles.

B is opposite to the 57 degree angle, the shortest angle, so it’s the shortest side. A is opposite to the 59 degree angle, so it is the second shortest side. C is opposite to the 64 degree angle, the largest angle, so it’s the longest side.

what is the perimeter of 12cm and 18cm

Answers

Answer:

40cm.

Step-by-step explanation:

40cm is the answer .

What is the value of the expression below when x=10x=10 and y=4y=4?
8x-7y
8x−7y

Answers

Answer:

Step-by-step explanation:

8(10) - 7(4)

8X10 - 7X4

80 - 28

52

What is the relationship between 30 hours and 15 hours?

Answers

Answer:

3

Step-by-step explanation: 15 divided by 3 is 5, 30 divided by 3 is 10

PLEASSSSSSSSEEEEEEEEEEEEEEEE JUST ANSWER MY QUESTION STOP SKIPPING ME SHOW WORK PDF BELOW FIND SURFACE AREA PLEASE 50 POINTS

Answers

Answer:

9) 21

10) 24

11) 14.6

Step-by-step explanation:

Literally just add up all the sides.

What are two numbers that multiply to 77 and add up to -18?
Please answer fast!

Answers

Answer:

-11 and -7

Step-by-step explanation:

-11 x -7 = 77

-11 - 7 = -18

NEED ANSWER ASAP PLEASE
4. Which statement below is true about linear functions?
(1) Linear functions grow by equal factors over equal intervals
(2) Linear functions grow by equal differences over equal intervals
(3) Linear functions grown by equal differences over unequal intervals
(4) Linear functions grow by unequal factors over equal intervals

Answers

Answer:

(1) linear functions grow by equal factors over equal intervals

I think this is right, I may be wrong

Step-by-step explanation:

Hope this helps :)

Question 1 options:

68°

136°

158°

112°

Answers

9514 1404 393

Answer:

  (d)  112°

Step-by-step explanation:

Opposite angles in an inscribed quadrilateral are supplementary.

∠P = 180° -∠R = 180° -68°

∠P = 112°

Answer:

112 degrees.

Step-by-step explanation:

This is an isosceles trapezium.

So the required angle = 180 - 68 = 112.

help please HUREEEEYTTT

Answers

The answer is B. (7,-10).



Since A is moved down by 11 units and moved right by 4. We can use Point D’s coordinate to find where Point D1 will be.

Original coordinate of D: (3,1)

Coordinate of D1
= (3+4 , 1-11)

= (7,-10)

You plus 4 because it’s moved to right by 4 units. And minus -11 because it’s moved down by 11 units.

If the figure is,
- Moved up, we plus
- Moved down, we minus
- Moved right, we plus
- Moved left, we minus


For right and left, we use the x-coordinates. And for up and down, we use the y-coordinate.


Hope this helps!
The correct answer is b

PLEASE HURRRYYYYYYY!!!!!!!!!!

Answers

Subtract 6 from both sides of the equation. You do this to undo the plus side and isolate the variable.

Answer:

The first one

Step-by-step explanation:

please do, thank you
1) write a real world problem for the following inequality X < 17
2) draw a number line and graph the inequality
3) make a cartoon strip, model or short video to represent your problem

Answers

Answer:

{poiuyt

Step-by-step explanation:


18. The perimeter of the given triangle is 36 cm.
Find the value of x.


Answers

Answer:

x = 7

Step-by-step explanation:

(x+2)+(3x-9)+(2x+1) = 36

6x - 6 = 36

6x = 42

x = 7

Can someone please check my answer??!

Answers

Answer:

gj its correct

Step-by-step explanation:

The expression 3x + 5x - 5y + 2 consists of four_____.
(hint: these are parts of the expression that are "added or subtracted")

A Factors
B Terms
C Variables
D Coefficients

Answers

The correct answer is terms. They are added and subtracted when combining like terms.

(14)(10)(3) + (7)(4)(3)

Answers

Answer:

504 is the answer

Answer: 504
14*10*3 =420
7*4*3 = 84

Robert joins a gym and pays a 25 application fee he pays 10 a month for 1 year how much money in total does Robert spend on gym fees for entire year

Answers

Answer:

$145

Step-by-step explanation:

10×12=120+25=145

1.To make paper mache, the art teacher mixes water and flour. For every 2
cups of water, she needs to mix in 3 cups of flour to make the paste. Which
of the following shows an equivalent ratio for the ratio of water to flour? I need an answer quick!!!!

Answers

Answer:

1:1.5 or 2:3 or 4:6 or 8:12, etc. is the ratio

Step-by-step explanation:

Hi guys can you answer my math questions​

Answers

Answer:

4. 6 means 6 tenths and 2 means 2 hundredths

5. 115.25

6. A6:48

B. 4:45

What is the value of x?

Answers

Answer:

x=9

Step-by-step explanation:

hello :

use thales- rul :

(3x-20)/56 =9/72

(3x-20)72= 9×56

3x-20 =9×56/72

3x-20 =7

3x=27

x=27/3

x=9

Which of the following equations represents a line that is parallel to the line 3x - 2y = 12
and passes through the point (7, 10)?

Answers

Answer:

Step-by-step explanation:

12=3x-2y

2y+12=3x

2y=3x-12

y=(3x-12)/2

y=mx+b

To be parallel to the line above our line must have the same slope or m. The above line has a slope of 3/2 or 1.5 so the parallel line will be

y=1.5x+b, using point (7,10) we can solve for the y intercept or b

10=1.5(7)+b

10=10.5+b

b=-0.5 so our line is

y=1.5x-0.5

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