What’s the formula for the series -5,10,-20,40

Answers

Answer 1

Answer:

Stare at it long enough. You will notice that with each step you double the value, and change sign. It makes it a geometric sequence of ratio -2. At this point you have two ways of writing down:

Option 1: Ricorsively, the first term is -5, then the next term is -2 times the previous one:

[tex]\left \{ {{a_0=-5} \atop {a_{n+1}=-2a_n}} \right.[/tex]

Option 2: In closed form, remembering that the n-th term in a geometric sequence is the starting term times the n-th power of the ratio:

[tex]a_n=-5 (-2)^n[/tex]

Either work, depending on what you need to use it for.


Related Questions

3x+2(x-5)=25

multi step equation

Answers

Answer:

3x + 2x - 10 = 25

5x = 35

x = 7 is your answer

Step-by-step explanation:

brainliSt plz

Find the area of the circle. Round to the nearest
tenth. Do not write units of measure.
Find the area of each circle. Use 3.14 for pi.

Answers

Answer:

452.16 cm

28.26 m

113.04 km

Step-by-step explanation:

The equation for area is r^2 π

where you square the radius and multiply by 3.14 or pi or how many digits you need to use.

For example, on the first question, you multiply the radius (12) by itself or square it to get 144.

Then you multiply 144 by 3.14 to get your first answer.

- Atriangle is 3 cm wider than it is tall. The area is 14 cm^2. Find the height and the base.​

Answers

Answer:

7 and 4

Step-by-step explanation:

If you set up a rectangle you get an area of 28 cm^2

4x7=28

the base is 7 cm

the height is 4 cm

A sample of 400 large companies showed that 130 of them offer free health fitness centers to their employees on the company premises. If one company is selected at random from this sample, what is the probability that this company offers a free health fitness center to its employees on the company premises? What is the probability that this company does not offer a free health fitness center to its employees on the company premises? Do these two probabilities add up to 1.0? If yes, why?

Answers

One percent of all individuals in a certain population are carriers of a particular disease. A diagnostic test for this disease has a 90$\%$ detection rate for carriers and a 5$\%$ detection rate for noncarriers. Suppose the test is applied independently to two different blood samples from the same randomly selected individual. (a) What is the probability that both tests yield the same result? (b) If both tests are positive, what is the probability that the selected individual is a carrier?

I need help with this please​

Answers

0.25 but half but 26:26 Its same but half of half ....

Help please, I attached a screenshot

Answers

[tex] \frac{(7 {x}^{2} {y}^{4} ) ^{2} }{49 {x}^{6} {y}^{5} } \\ = \frac{ {7}^{2} {x}^{2 \times 2} {y}^{4 \times 2} }{49 {x}^{6} {y}^{5} } \\ = \frac{49{x}^{4} {y}^{8} } {49 {x}^{6} {y}^{5}} \\ = {x}^{4 - 6} {y}^{8 - 5} \\ = {x}^{ - 2} {y}^{3} \\ = \frac{y ^{3} }{ {x}^{2} } [/tex]

Answer:

[tex] \frac{y ^{3} }{ {x}^{2} } [/tex]

Hope you could get an idea from here.

Doubt clarification - use comment section.

find all complex solutions of 13x^2-5x+1=0

btw it doesn’t let me do the +- sign

Answers

Answer:

Step-by-step explanation:

You can make it by using division +/-. The keystrokes are

+

/

-

a = 13

b = -5

c = 1

x = [-(-5) +/- sqrt( (-5)^2 - 4*13*1) )] / 2

x = [ 5 +/- sqrt( 25 - 52) ] / 2

x = [ 5 +/- sqrt(-27)]/2

x = [5 +/- 3 sqrt(3)i ] / 2

x = 5/2 +/- 3/2 * sqrt(3) i

So x1 = 2.5 + 1.5 sqrt(3)i    or

x2 = 2.5 - 1.5 sqrt(3)i

Suppose that the probability that an item produced by a certain machine will be defective is 0.1. Find the probability that a sample of 20 items will contain at most 2 defective items.

Answers

Answer:

no it is really easy question to answered so do it your self

When a data set has an even number of elements, the median is calculated by
A averaging the middle two values
B. subtracting the middle two values
C. eliminating any outliers and recalculating the median
D. eliminating the smallest data value from the set and recalculating the median

Answers

Answer:

A averaging the middle two values

Step-by-step explanation:

When the data set has odd number of elements, the median is the middle value.

When a data set has an even number of elements, the median is calculated by averaging the middle two values.

Heres an easy question. Solve this.
[tex]\frac{1}{5}[/tex]y = 10

Answers

Answer:

y=50

Step-by-step explanation:

[tex]\frac{1}{5}[/tex]y=10

 y=10÷[tex]\frac{1}{5}[/tex]

   =50

-5(x + 6) = -(5x-9)
Please give me answer!

Answers

Answer:

There is no solution to this equation.

Hope this helps :)

Answer:

no solution.

Step-by-step explanation:

carry the -5 and - sign and multiply the numbers within the () signs. so - 5×x and -5×6. which is -5x + -30. the other side will be -5x + 9. so then if you take away the -5x your left with -30 = 9 which is impossible.

The perimeter of a rectangle is 2020 units.



The length of the rectangle is the distance from (-2,6)(−2,6) to (5,6)(5,6).



What is the width, in units, of the rectangle?

Answers

Answer:

8.4

Step-by-step explanation:

edge

If [tex]a\ \textless \ b[/tex], there are three ordered pairs of positive integers [tex](a,b)[/tex] that satisfy [tex]a^{2}+b^{2}=10(123)^{2}[/tex] If two of these ordered pairs are [tex](39,387)[/tex] and [tex](201,333)[/tex]. What is the third such ordered pair?

Answers

The third ordered pair positive integers that satisfies the equation is (123, 369).

The given parameters;

[tex]a^2 + b^2 = 10(123)^2[/tex]First pair of the equation, = (39, 387)Second pair of the equation = (201, 333)

The third ordered pair of the equation can be determined by using general equation of a circle;

[tex]a^2 + b^2 = r^2\\\\a^2 + b^2 = (123\sqrt{10} )^2\\\\a^2 + b^2 = (\sqrt{151290} )^2\\\\a^2 + b^2 = 151290\\\\a^2 = 151290- b^2\\\\ a= \sqrt{151290 - b^2}[/tex]

The radius of the circle is calculated as;

[tex]r^2 = 151290\\\\r = \sqrt{151290} \\\\r = 388.96[/tex]

The value of a can be obtained by randomly choosing numbers less than the radius as values of b.

[tex]b < r\\\\b < 388.96[/tex]

[tex]a = \sqrt{151290 \ - \ (387)^2} \\\\a = 39\\\\(39, \ 387)\\\\a = \sqrt{151290 \ - \ (333)^2}\\\\a = 201\\\\(201, \ 333)\\\\a = \sqrt{151290 \ - \ (369)^2}\\\\a = 123\\\\(123, \ 369)[/tex]

Thus, the third ordered pair positive integers that satisfies the equation is (123, 369).

Learn more about equation of circle here: https://brainly.com/question/24810873

Pls help I’ll brainlest

Answers

Answer:

Step-by-step explanation:

Mistakes: The student did not distribute the 3 into 2, and the student did not distribute the 6 into negative 2. The student also left out the negative 2x in the first half of the equation.

3(x+2)-2x=6(x-2)
3x+6-2x=6x-12
1x+6=6x-12
-1x -1x
6=5x-12
+12. +12
18=5x
3.6=x

1.Distribute
2 if you do something to one side of the equation you have to do the same to the other

Can I get the answers for all the questions and if you can explain how you got it that would help PLSSSSS!!!!

Answers

7 is D because one person is doing 4 times as much work as the other person they are working with. The person that is doing the least is labelled m, and is added to 4m because 4m does 4 times as much work as m, except he does it along with m so they MUST be added together. 8 is A because if you rearrange the equation, you get 4s=70. If the 4 shirts would have cost 70$ before applying that coupon, then 4 shirts of the same cost (4s) would equal 70$. Try the last ones yourself so you can make sure you fully understand what is happening.

PHOTO ATTACHED CAN SOMEONE PLZ FR HELP LIKE NOT LIKE A LINK OR A ANSWER FOR THE POINTS I NEED SOME HELP!!!!!!!! thank you :)

Answers

Answer:

  80a²b³c

Step-by-step explanation:

As with numbers, the LCM is the product of the highest-powered factors.

  16ab³ = 2⁴×a×b³

  5a²b² = 5×a²×b²

  20ac = 2²×5×a×c

The highest power of the factor 2 is 2⁴.

The highest power of the factor 5 is 5.

The highest power of the factor a is a².

The highest power of the factor b is b³.

The highest power of the factor c is c.

The LCM is 2⁴×5×a²×b³×c = 80a²b³c

Help I need the answer fast!

Answers

Answer:

2 14/25

Step-by-step explanation:

16/(2+1/2)^2 .        simplify 2+1/2 to 5/2

16/(5/2)^2

16/5^2/2^2

16/25/4

16*4/25

64/25

2 14/25

PEMDAS "P" is first, "E" second and then "D" is last

[tex]16\div \left( 2+\frac{1}{2} \right)^2\implies 16\div \left( \frac{2}{1}+\frac{1}{2} \right)^2\implies 16\div \left( \cfrac{4+1}{\underset{\textit{using this LCD}}{2}} \right)^2 \\\\\\ 16\div\left( \cfrac{5}{2} \right)^2\implies 16\div\cfrac{5^2}{2^2}\implies 16\div\cfrac{25}{4}\implies \cfrac{16}{1}\div\cfrac{25}{4}\implies \cfrac{16}{1}\cdot \cfrac{4}{25} \\\\\\ \cfrac{64}{25}\implies 2\frac{14}{25}[/tex]

HELLLP PLSSS QUICK



29 + 9x ≤ 65
solve for x

Answers

Answer:

x <= 4

Step-by-step explanation:

29+9x<65

-29.      -29

9x<36

divide both sides by 9

x less than or equal to 4

Answer:

x ≤ 4

Step-by-step explanation:

29 + 9x ≤ 65

subtract 29 from both sides

29 - 29 + 9x ≤ 65 - 29

9x ≤ 36

divide both sides by 9

9x / 9 = x and 36 / 9 = 4

we're left with x ≤ 4

PLEASE HELPPP ASAPP!!

Combine and simplify the following radical expression.

Answers

After demonstrating the procedure by algebraic means, the expression [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] is equivalent to [tex]6\cdot \sqrt[3]{24}[/tex].

In this question we proceed to simplify [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] by algebraic means into a single radical expression when possible, whose procedure is shown below and explained by appropriate definitions and theorems:

[tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex]  Given. [tex](2\cdot 3) \cdot (\sqrt[3]{12} \cdot \sqrt[3]{2} )[/tex] Commutative property/ Associative property. [tex]6\cdot \sqrt[3]{24}[/tex] Definition of cubic root/[tex]\sqrt[n]{a} = \sqrt[n]{b}[/tex]/Result

After demonstrating the procedure by algebraic means, the expression [tex](2\sqrt[3]{12} )\cdot (3\sqrt[3]{2} )[/tex] is equivalent to [tex]6\cdot \sqrt[3]{24}[/tex].

To learn more on radical expressions, we kindly invite to check this verified question: https://brainly.com/question/1810591

Every day, Lindsey’s orange juice stand uses 1 ½ bags of oranges. How many days will 4 ½ bags of oranges last?
What Operation please!

Answers

Lindsey will have 3 days

(3x+14)= (7x+4)
Find X

Answers

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Exact Form:

x=5/2

Decimal Form:

x=2.5

Mixed Number Form:

x=2 1/2

Step-by-step explanation:

x= 5/2 or the alternative form is x= 2 1/2 and/or x= 2.5

Morgan Office Supply sells 8 reams of Brand X paper for $40 and 4 reams of Brand Y paper for $19. What is the cost savings per ream of paper for the cheapest brand?

Answers

Answer:

  $0.25 per ream

Step-by-step explanation:

The costs per ream are ...

  X: $40/(8 reams) = $5/ream

  Y: $19/(4 reams) = $4.75/ream

The savings per ream is $5.00 -4.75 = $0.25 for the cheapest brand.

What is the distribution property and combining like terms for -8(b+3)

Answers

Answer:

-8b-24

Step-by-step explanation:

Just ask.

Hope this helps! :)

Answer:

-8b-24

Step-by-step explanation:

you would just distribute that -8 to what's inside the ( ).

whats 4000+60=
and whats 60+4000=

Answers

Answer:

4060

Step-by-step explanation:

Answer:4060

Step-by-step explanation:

please HELPPP!!!!!!!!!!!!!!!!

Answers

Answer:

40,44,48,52

Step-by-step explanation:

These are multiples of 4 because 4 can be multiplied into all of them like

4x11=44

4x10=40

4x12=48

4x13=52

3 ft
Find the area of this figure.
Round your answer to the
nearest hundredth. Use
3.14 to approximate i.
4 ft.
5 ft
5 ft
A = [? ] ft?
-
Notice that only half of the circle is included in the figure!
Enter

Answers

Answer:14

Step-by-step explanation:

HELP PLEASEE
What is the range of the graph below?

Answers

Answer:

d

Step-by-step explanation:

range is how far the graph goes from bottom to top.

The answer is d hope it helps.

A square tile has sides of 20 cm how many tiles are needed to cover an area of 3 m by 1.8m

Answers

Answer:

135 tiles

Step-by-step explanation:

3 x 1.8 = 5.4 (m2)

20 cm = 0.2 m

0.2 x 0.2 = 0.04 (m2)

5.4 / 0.04 = 135 (tiles)

A) assuming the car is traveling at a constant speed, at what rate is the car traveling?

Answers

The acceleration of a car that travels in a straight line at a constant speed of 100 km/h is zero. Average acceleration = (change in velocity)/(time it takes). Since the car's change in velocity is zero, its acceleration is zero.

HELP PLEASE.!!!
This week Sally withdrew $35 from her bank account and deposited $90 into her bank account. Overall, how much did she add to her bank account.

Answers

Answer:

55

Step-by-step explanation:

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