What is the sum of an 8 term geometric series if the first term is -11 and the last term is 859,375 and the common ratio is -5

Answers

Answer 1

Answer:716,144

Step-by-step explanation:

Given

No of the terms in GP [tex]n=8[/tex]

First-term [tex]a=-11[/tex]

last term [tex]a_n=859,375\quad (ar^{n-1})[/tex]

Common ratio [tex]r=-5[/tex]

The Sum of a GP is given by

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

Put the values

[tex]\Rightarrow S_n=\dfrac{-11(1-(-5)^8)}{1-(-5)}\\\\\Rightarrow S_n=\dfrac{-11\times -390624}{6}\\\\\Rightarrow S_n=\dfrac{42,96,864}{6}=716,144[/tex]


Related Questions

There are 12 dogs and 15 cats at the pet store. Find the ratio of cats and dogs

Answers

Answer:

15:12

Step-by-step explanation:

hope this helps!

The ratio of dogs and cats at the pet store is 12:15 and in simplest form, it is 4:5.

What is Ratio?

When evaluating two or more numbers, the phrase ratio is used in mathematics. When one quantity is contrasted with another, it is used to show how big or tiny it is.

The division is used to compare the two numbers in a ratio. The term "antecedent" in this context refers to the dividends and "consequent" to the divisor.

As per the given data provided in the question,

Total number of dogs in the pet store, D = 12

Total number of cats in the pet store, C = 15

The ratio of dogs to cat be,

D:C = 12:15

Now, the ratio in simplest form,

D:C = 4:5

To know more about Ratios:

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Answers

Answer:

C

Step-by-step explanation:

Which plot correctly displays the data set with maximum of 48, a minimum of 27, a median of 36, an upper quartile of 45, and a lower quartile of 32?

Answers

Options :

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 32 to 45. A line divides the box at 36.

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 31 to 39. A line divides the box at 36.

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 46, and the box ranges from 31 to 39. A line divides the box at 36.

Answer:

A box-and-whisker plot. The number line goes from 25 to 50. The whiskers range from 27 to 48, and the box ranges from 32 to 45. A line divides the box at 36.

Step-by-step explanation:

Given the five number summary which are all displayed on a box and whisker plot :

Maximum = 48

Minimum = 27

Median = 36

Upper Quartile = 45

Lower quartile = 32

Maximum and minimum values are displayed by the whiskers :

Starting point of whisker = minimum value

End point of whisker = maximum value

The quartiles are displayed by the box :

Starting point of the box = lower quartile

End point of the box = upper quartile

Line in between the box = Median

The bank requires a minimum of $50 in the savings account.

it does not matter how much money is kept in the checking account

x represents the amount of money in the checking account and y represents the amount of money in the savings account.

what solution to the inequality?

Answers

Answer:

y50

(y is greater than or equal to 50 dollars)

Step-by-step explanation:

We don't need X as the amount in the checking account doesn't matter, so and Y must be equal to or greater than 50, so the answer is y≥50

Please help!! Im super confused:(

Answers

Answer:

3 points

Step-by-step explanation:

3 is very different from the other numbers, so it is an outlier.

Answer:

3 points (Clearly because if you put it on a number line, this one would be far away from the other numbers)

8-(5.5) please help I need it ASAP

Answers

Answer:

2.5

Step-by-step explanation:

-7x + y = -2 in slope-intercept form. what is the y-intercept and slope?

Answers

add -7x to the other side so the equation is

y=7x-2

slope is 7

y-int is -2

Please, multiply the following Algebric sum.........
3ab+2bc, 5bc

Answers

Answer: The required product of two given algebraic expressions =15abc +10b²c²

Step-by-step explanation:

Here we need to multiple two algebraic expressions: 3ab+2bc, 5bc

i.e. The required product = (3a+2bc)  x (5bc)

= 3a x 5bc + 2bc x 5bc    [Using right distributive property: (a+b)c= ac+bc]

= (3x 5)  abc + (2 x 5) (bc)²

= 15abc +10b²c²

Therefore, the required product of two given algebraic expressions = 15abc +10b²c²

Use the rule "divide by 3" to continue the pattern. Then write the four terms of a different pattern that follows the same rule

Answers

Answer:

[tex](a)[/tex]

[tex]Pattern: 2187, 729, 243, 81, 27, 9,3, 1[/tex]

[tex](b)[/tex]

[tex]Pattern = 972,324,108,36[/tex]

Step-by-step explanation:

Given [Missing from the question]

[tex]Pattern: 2187, 729, 243, 81[/tex]

Solving (a): Continue the pattern using the divide by 3 rule

To do this, we simply divide the last term by 3, to get the next term.

So, we have:

[tex]81/3 = 27[/tex]

[tex]27/3 = 9[/tex]

[tex]9/3 = 3[/tex]

[tex]3/3 = 1[/tex]

So, the pattern is:

[tex]Pattern: 2187, 729, 243, 81, 27, 9,3, 1[/tex]

Solving (b): 4 terms of a different pattern using the same rule.

Let the first term be: 972

So, the next three terms is:

[tex]972/3 =324[/tex]

[tex]324/3 = 108[/tex]

[tex]108/3 =36[/tex]

So, the pattern is:

[tex]Pattern = 972,324,108,36[/tex]

h.e.l.p. p.l.s.s.s.s.

Answers

Answer:

A number that can be made by dividing two integers (an integer is a number with no fractional part). The word comes from "ratio". But π (pi) is not a rational number, it is an "Irrational Number".

Step-by-step explanation:

mark me please

Answer:

Since rational numbers are all numbers that can be written as a fraction, and includes positive numbers, negative numbers and the 0. We can conclude that since -3.4 can be written as a fraction it is a rational number.

NEED HELP ASAP!!!!! Someone help me??!??

Answers

Answer:

c

Step-by-step explanation:

I think so

WILL GIVE BRAINLIEST IF BOTH QUESTIONS ARE CORRECT!!!

Answers

Answer:

69824.21

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Step-by-step explanation:

A new watch costs $38.85, and a new bracelet costs $22.38. If Maddy buys both, how much does she spend? no photo links cus its a write prob

Answers

Answer:

$61.23

Step-by-step explanation:

Find how much she will spend by adding the costs together

38.85 + 22.38

= 61.23

So, if she buys both, she will spend $61.23

Answer:

[tex] \bf \huge 61.25[/tex]

Step-by-step explanation:

Given that :

A new watch costs $38.85a new bracelet costs $22.38

to find :

If Maddy buys both, how much does she spend ?

explanation :

we have,

watch cost = $ 38•85bracelet cost = $ 22•38

finding the cost of how much maddy spend for watch and bracelet

⟼ watch cost = $ 38•85

⟼ bracelet cost = $ 22•38

for finding the both cost add watch and bracelet cost

⟼ $ 38•85 + 22•38

$ 61•23

maddy cost $ 61•23 for buys both.

PLEASE HELP ME ANSWER BESTIES !!!

Answers

Your not my bestieeee but the answer from me is unkown i jus want to be able to answer one question :)

I would say 12 and 14 because if you were to evaluate that square root, you would get −13.0384048104 and that would lie between 12 and 14.

If I'm wrong, sorry.

Solve for x
4/x = 2/7

Answers

the answer is 14

x=14

what does (-2,-3) look like on a graph

Answers

Answer:

looks like a line kinda

Step-by-step explanation:

Select all names that apply to the number. The length of the side of a square that has an area of 77 square yards.


A real
B whole
C rational
D irrational
E integer

Answers

The length of the side would be sqrt(77) = 8.7749.....

This can be classified as two answers:

A and D

This is a real number

It is also an irrational number because it can’t we written as a simple fraction.

which is equivalent wi mark brainliest answer ​

Answers

Answer:

9x

Step-by-step explanation:

you simply just add the values

Adele has 19 stamps in her collection.
For her birthday, Don gave her 5 more,
and then her father offered to buy her
more stamps to triple the number in
her collection. Which expression shows
how many stamps Adele will have in
her collection after her birthday?
A 19-(5 X 3)
B 19 + (5 X 3)
C (19-5) X 3
D (19 + 5) X 3

Answers

Answer:

D

19+5 is the total in her collection

multiply by three to triple

(19+5)x3

Answer:

D(19+5)x3

Step-by-step explanation:

she has 19, then don gave her 5 more

19+5

her father also offered to buy her three times so

(19+5)x3

Two puppies eat 2 cans of dog food in 2 days. How many cans of dog food can 8 puppies eat in 8 days? Note: All puppies eat at the same constant rate.

Answers

Answer:

64 cans

Step-by-step explanation:

If two puppies eat 2 cans in two days then you can imagine one puppy eats one and the other puppy eats the other. so if 8 puppies eat in 8 days you would want to do 8 * 8 = 64 cans

ahJsbsgshsjsjdbjdjshsbsbsbd
Divide: -64/-768​

Answers

Answer:

0.08333333333

hope this answer helps you!

Answer:

1/12

Step-by-step explanation:

Using a calculator and rounding the result (quotient) off, we get:

64/768 = 0.083333...  (approximately) or 1/12 (exact quotient)

Amanda bought 5 bottles of Pepsi and two medium pizzas, The Pepsi cost $9.95 and the total bill was
$29.93.



will mark brainlest

Answers

Answer:

9.99

Step-by-step explanation:

5 bottles of Pepsi equals $9.95 subtract that from $29.93 than u divide that anser by so ur answer is 9.99

Use a ratio box to solve this problem the ratio of new pens was 4 to 7 in all there were 242 new pens how many new pens were in the box?

Answers

Complete Question

Use a ratio box to solve this problem the ratio of new pens to used pens was 4 to 7 in all there were 242 pens, how many new pens were in the box?

Answer:

88 new pens

Step-by-step explanation:

The ratio of new pens : Old pens = 4:7

Sum of Proportion = 4 + 7 = 11

Total number of pens = 242 pens

The number of new pens is calculated as:

4/11 × 242 pens

= 88 new pens

Therefore, the number of new pens = 88 new pens

Makayla has $8 to buy tickets at the school fair. Each ticket costs $1.50. Which inequality
best represents how many tickets she can buy?
n = number of tickets

Answers

Answer:

Third option is correct. Hence, N<5 is the best inequality that represents the number of tickets she can buy with $8

Step-by-step explanation:

Is 0.999 repeating equal to 1? Please explain

Answers

It’s not ,
for example if u got to the store an buy a piece of candy for exactly $1 and u got .99 cents you’ll still need one cent to be able to buy it

Answer:

It is not equal to 1

Step-by-step explanation:

It's not equal to one because even if it is repeating forever it will never ever get to one, just take a look

0.999......  every 9 get's smaller and smaller in value

like 0.9 is bigger then 0.09 and that is bigger then 0.009

so even thought it is always gaining value by every 9 the value it gains is smaller and smaller and will never be equal or larger then 1

Please Help Me!! Will Give Brainliest!!!

Answers

x = 2 y = 1
y = 5 x= 4
x = -2 y = -7
y= 0 x= -3

2
✓3
✓5
✓6
A rose garden is formed by joining a rectangle and a semicircle, as shown below. The rectangle is 24 ft long and 18 ft wide. If the gardener wants to build a
fence around the garden, how many feet of fence are required? (Use the value 3.14 for 1, and do not round your answer. Be sure to include the correct unit in
your answer.)
0
ft
ft?
ft
18
х
?
24 ft

Answers

Answer:

Area = 559.17 sq ft

Step-by-step explanation:

Area (rectangle) = 18 x 24 = 432

Area (semi-circle = πr²÷2 = 81π/2 = 127.17

pls help me!! will give brainliest

Answers

Answer: (0,0)

If AB is translated right 5 units and down two then both points are translated by that amount.

A currently is (-5, 2)

x=-5 and y=2

Since youre going right by five your x value will increase by 5 so the point will instead be at x=0

Since youre going down by two your y value will decrease by 2 so the point will instead be at y=0

x=0 and y=0

(0,0)

Answer: its 0,0

Step-by-step explanation:

Hi, sorry to bother you, but can you answer this question about probability?
From a standard deck of cards, draw a card, and then, without replacing it, draw another card.
P(diamond, black 2)

Answers

Answer:

sorry I don't get the question

Step-by-step explanation:

find the distance between each pair of points (-3,4) (2,6)

Answers

Answer:

≈ 5.4 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = [tex]\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }[/tex]

with (x₁, y₁ ) = (- 3, 4) and (x₂, y₂ ) = (2, 6)

d = [tex]\sqrt{(2+3)^2+(6-4)^2}[/tex]

   = [tex]\sqrt{5^2+2^2}[/tex]

   = [tex]\sqrt{25+4}[/tex]

   = [tex]\sqrt{29}[/tex]

   ≈ 5.4 ( to 1 dec. place )

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