Mathematics College

For the geometric sequence, find the sum of the specified number of terms.
The first 8 terms of 4, -12, 36, ...
S8=

For The Geometric Sequence, Find The Sum Of The Specified Number Of Terms.The First 8 Terms Of 4, -12,

Answers

Answer 1

Given:

The geometric sequence is

[tex]4, -12, 36,...[/tex]

To find:

The sum of first 8 terms of the given geometric sequence.

Solution:

We have,

[tex]4, -12, 36,...[/tex]

Here, the first term is 4 and the common ratio is

[tex]r=\dfrac{-12}{4}[/tex]

[tex]r=-3[/tex]

The sum of first n terms of a geometric sequence is

[tex]S_n=\dfrac{a(r^n-1)}{r-1}[/tex]

Where, a is the first term and r is the common ratio.

Putting n=8, a=4 and r=-3, we get

[tex]S_8=\dfrac{4((-3)^8-1)}{-3-1}[/tex]

[tex]S_8=\dfrac{4(6561-1)}{-4}[/tex]

[tex]S_8=-6560[/tex]

Therefore, the sum of first 8 terms is -6560.

Related Questions

What is the range of the data below? 6.5, 7.6, 9.1, 2.4, 8.8​

Answers

The range is 6.7
To find the range you find the difference of the highest and lowest number

The weight in gram of 15 packets of sweets are: 55.0,55.3,55.3,55.3,55.5,55.6,55.8,55.9,56.1,56.2,56.2,56.4,56.7,56.7,56.8. Write down the value of the medium and quartiles

Answers

Given:

The weight in gram of 15 packets of sweets are: 55.0, 55.3, 55.3, 55.3, 55.5, 55.6, 55.8, 55.9, 56.1, 56.2, 56.2, 56.4, 56.7, 56.7, 56.8.

To find:

The value of the median and quartiles.

Solution:

We have,

55.0, 55.3, 55.3, 55.3, 55.5, 55.6, 55.8, 55.9, 56.1, 56.2, 56.2, 56.4, 56.7, 56.7, 56.8

Divide the data set in two equal parts.

(55.0, 55.3, 55.3, 55.3, 55.5, 55.6, 55.8), 55.9, (56.1, 56.2, 56.2, 56.4, 56.7, 56.7, 56.8)

Divide each parenthesis in two equal parts.

(55.0, 55.3, 55.3), 55.3, (55.5, 55.6, 55.8), 55.9, (56.1, 56.2, 56.2), 56.4, (56.7, 56.7, 56.8)

Now,

First quartile = 55.3

Second quartile = Median = 55.9

Third quartile = 56.4

Therefore, the median is 55.9 and the three quartiles are 55.3, 55.9, 56.4 respectively.

7.13 g =
cg what is the answer​

Answers

Answer: 713 cg

Step-by-step explanation:

1 g = 100 cg

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

Given

7.13 g = ? cg

Solve

7.13 × 100 = 713 cg

Hope this helps!! :)

Please let me know if you have any questions

Simplify the expression: 5(1 - 9a)

Answers

Answer:5 − 45a ~Hope you have a good day, Loves!

Also if I'm right can you let me know please?

Also Also if I am right can I please have Brainliest??

You don't need to, I'm just glad I could help. ^^

find the x (please help lol)

Answers

Answer:

x = 23.5

Step-by-step explanation:

x is the midsegment theorem of the trapezoid given.

Based on the midsegment theorem of a trapezoid, thus:

x = (7 + 40)/2

x = 47/2

x = 23.5

Write an equation for the function whose graph is described.
The shape of f(x) = |x|, but shifted 19 units up and then reflected in the x-axis

Answers

Answer:

f(x)=-|x|+19

Step-by-step explanation:

so shifted 19 units up means

abosolute value of x + 19

and reflected in the x axis means that you have to put the - before the abosolute value.

so -|x|+19

library 3.5x250
[tex]3.5 \times 500 = [/tex]
​

Answers

Answer : 3.5x250=875

suzette went to the store and bought some eye liner for $2.50. two weeks later, the price of the eyeliner was increased by 50%. what was the new price of the eyeliner

Answers

Answer:

$5.00

Step-by-step explanation:

Since the eyeliner went up and doubled in price, you simply multiply 2.50 by 2, and you get $5.00

Question 9 Please Help

Answers

Answer:

the answer is the A

Step-by-step explanation:

PLEASE HELP WILL GIVE LOTS OF POINTS & BRAINLY!!

Answers

Answer:

the amplitude is 5

the period is 4 pi

Step-by-step explanation:

what is 3.055 rounded to the nearest hundredth?

Answers

Answer:

3.06

Step-by-step explanation:

Quotient of 59.4 and 8.25 show work

Answers

Answer:

in previous material it was shown that the digit sum of the product of two integers is equal to the digit sum of the product of the digit ... For instance, 66/8 = 8.25. ... For example, 35/7=5; the digit sum of the quotient is 5 and the digit sum of 35 is 8.

Missing: 59.4 ‎| Must include: 59.4

Answer:

7.2

Step-by-step explanation:

Change the divisor 8.25 to a whole number by moving the decimal point 2 places to the right. Then move the decimal point in the dividend the same, 2 places to the right.

We then have the equations:

5940 ÷ 825 = 7.200

and therefore:

59.4 ÷ 8.25 = 7.200

Both calculated to 3 decimal places.


If it is equal to (or) greater than 5, add__ to previous digit
(a)1
(b)0
(c)10​

Answers

Answer:

(b) 0 is the answer.....

Using the equation 2 + 3/41 = 5, what does the value of I equal?

Answers

Answer:

i did't see the value I in the equation

Step-by-step explanation:

Help please and thank you ❤

Answers

Answer:

In the pictures below

Step-by-step explanation:

The results of a magazine survey showed that 42 out of 80 people plan to vote for Mr. Smith for President. Which is the best prediction of the total number of votes he will receive if 2,000 people vote?

A.
25

B.
50

C.
120

D.
1,050

Answers

I think it will be c

I doing vertical angles and I'm way too confused to even understand​

Answers

Erotically angles are opposite each other and equal the same degree.

In the image 5x and 120 are vertical angles so 5x needs to equal 120.

X = 120/5

X = 24

Answer:

X=24 degrees.

Step-by-step explanation:

120/5=24. You divide by 5, because the angles will be congruent, and the top angle is 5*_=120. And 5*24=120, so x=24

How to find distance on a triangle like the diagonal part with the Phyhagorean Theorem?​

Answers

H2+P2+B2 is the answer of this question

Solve for b.
5
b
8
b = ✓ [?]
Pythagorean Theorem: a2 + b2 = c2
+
Enter

Answers

Answer: 6.25

Step-by-step explanation:

a2 + b2 = c2

b2 = c2 - a2

b2 = (8*8) - (5*5)

b2 = 64 - 25

b2 = 39

b = [tex]\sqrt{39}[/tex]

b = 6.25

Question is in the Picutre attached.

Answers

Bisectors make two congruent segments. Thus, set the two expressions equal to each other. Solve for x. Then plug back in to the expression for QP. I have attached the work to clarify. Hope it helps!

Shannon drank 1/5 cup of milk
and 3/4 cup of water. How much
did she drink altogether?
Answer


Answers

Answer:

does it have to be simpilfied? if not:   19/20

Step-by-step explanation:

*name* has 15 ounces to trail mix to share with three friends and himself. How much trail mix does each person get?

Answers

Answer:

3.75 ounces  or 3 3/4

Step-by-step explanation:

p+12=17 what does p equal in this situation ​

Answers

Answer:

5

Step-by-step explanation:

5+12= 17

Equation/Question:

P+12=17 What does P equal in this situation?

Answer/Steps to answer:

1. Subtract 12 from both sides.

p=17-12

2. Simplify  17-12 to  5.

p=5

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

Checking:

P+12=17

1. Let p=5.

5+12=17

2. Simplify  5+12 to 17.

17=17

Done by NeighborhoodDealer

eal llatie
12k – hạ; use h = 2, and k = 3
Simplify this
expression as
much as
possible.

Answers

Answer:

32

Step-by-step explanation:

Okay so first, the problem gives you the numbers to plug into the variables. So you see h=2 will be 2^2, because you plug it in. Now let me show you how I got the answer the Montana Way (Okay I know that sounds toooo cheesy)

12(3) - (2)^2

36 - 4

32

Find the x and y intercepts Y-2xy+4x=1

Answers

Answer:

[tex]x = \frac{1}{4}[/tex]

[tex]y= 1[/tex]

Step-by-step explanation:

Given

[tex]y - 2xy + 4x = 1[/tex]

Solving (a) The x intercept

Let y = 0

[tex]y - 2xy + 4x = 1[/tex]

[tex]0 - 2x*0 + 4x = 1[/tex]

[tex]0 - 0 + 4 x = 1[/tex]

[tex]4x = 1[/tex]

Divide both sides by 4

[tex]x = \frac{1}{4}[/tex]

Let x = 0

[tex]y - 2xy + 4x = 1[/tex]

[tex]y - 2y * 0 + 4*0 = 1[/tex]

[tex]y - 0 + 0 = 1\\[/tex]

[tex]y= 1[/tex]

130 3x + 67 degrees
please please please please please please please help​

Answers

Answer:

x=21

Step-by-step explanation:

Since the angle is the same size it is equal to 130 degrees.

subtract 67 from both sides and then dived by 3x and that gets you x=21

use the bar diagram to help you solve the equation 4x-12=16.

Answers

Answer:

x = 7

Step-by-step explanation:

4x−12=16

Step 1: Add 12 to both sides.

4x−12+12=16+12

4x=28

Step 2: Divide both sides by 4.

4x/4 = 28/4 = 7

x=7

Decrease £313 by 62%

Answers

Answer:

194.06

Step-by-step explanation:

313×0.62=194.06

How much greater is the average temperature on Earth the the average temperature on Jupiter? Jupiter's temperature is -166, Earth's temperature is 59.

Answers

Answer: 107 I think

Step-by-step explanation:

The average temperature on Earth is 225 degrees higher than the average temperature of Jupiter.

What is an arithmetic operation?

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that are +, -, ×, and ÷.

It is given that, Jupiter's temperature is -166, and Earth's temperature is 59.

We have to find the temperature difference between the earth and Jupiter.

In mathematics, subtraction is defined as the difference between two quantities. The application of subtraction can be used broadly in different applications to find or solve the problems such as finding differences between two quantities and many more.

The average temperature on Earth and the average temperature on Jupiter are obtained by applying the subtraction operation as,

Δt= T(earth) - T(jupiter)

Δt=59-(-166)

Δt=59+166

Δt=225 degrees

Thus, the average temperature on Earth is 225 degrees higher than the average temperature of Jupiter.

Learn more about the arithmetic operation here:

brainly.com/question/20595275

#SPJ6

Pls answer this ASAP thank you!

Answers

The answer is C easy
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