Find the 10th term of the following geometric sequence 6,24,96,384,…

Find The 10th Term Of The Following Geometric Sequence 6,24,96,384,

Answers

Answer 1

Answer:

1572864

Step-by-step explanation:

the nth term of a geoemtric series can be calculated using the following rule : [tex]a_n=a_1(r)^n^-^1[/tex]

where an = nth term, a1 = first term , r = common ratio and n = term position.

here, the first term is 6, the common ratio is 4 and the term position is 10 ( because we want to find the 10th term )

so a1 = 6 , r = 4 and n = 10

using these values we plug them into the rule

recall rule : [tex]a_n=a_1(r)^n^-^1[/tex]

==> plug in a1 = 6 , r = 4 and n - 10

[tex]a_1_0=6(4)^1^0^-^1[/tex]

==> subtract 10 and 1

[tex]a_1_0=6(4)^9[/tex]

==> simplify exponent

[tex]a_1_0=6(262144)[/tex]

==> simplify multiplication

[tex]a_1_0=1572864[/tex]

and we are done!

Note:

the common ration was found by dividing the first term by the next term


Related Questions

which European country colonized Brazil?​

Answers

Answer:

Portugal in 1815 colonize Brazil.

The country of Portugal colonized Brazil.

find x , y , sin alpha, tg beta and area of triangle​

Answers

Answer:

Step-by-step explanation:

What is the solution to the equation startfraction m over m 4 endfraction startfraction 4 over 4 minus m endfraction = startfraction m squared over m squared minus 16 endfraction? m = –4 m = –2 m = 2 m = 4

Answers

The value of them after solving the equation will be m=-2

What will be the value of m?

The given  equation will be

[tex]\dfrac{m}{m+4} + \dfrac{4}{4-m} =\dfrac{m^2}{m^2-16}[/tex]

multiply both sides by  [tex](m+4)(m-4)[/tex]

[tex](m+4)(m-4) (\dfrac{m}{m+4} + \dfrac{4}{4-m} )=(m+4)(m-4) \dfrac{m^2}{m^2-16}[/tex]

[tex]m(m-4)-4(m+4)=m^2[/tex]

[tex]m^2-4m-4m-16=m^2[/tex]

[tex]8m=-16[/tex]

[tex]m=-2[/tex]

Thus the value of them after solving the equation will be m=-2

To know more about factorization  follow

https://brainly.com/question/25829061

Answer:

b

Step-by-step explanation:

edge

Ethan ran 11 miles in 2 hours What is the constent of proporttional of miles to a hour

Answers

Answer:

5.5 miles

Step-by-step explanation:

If he ran 11 miles in 2 hours then divide both of them by 2, so 1 hour is equal to 11 / 2 which is 5.5 miles



. Using the pattern above, what is the
sales tax and total cost of a shirt that is
$9.10? Round to the nearest cent

Answers

Answer:

$10.10

Step-by-step explanation:

Answer:

$10.10

Step-by-step explanation:

please rate and mark as brainlest.

Cai tried to prove that \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J. Statement Reason 1 FG=HI=6FG=HI=6F, G, equals, H, I, equals, 6 Given 2 FH=HJ=4FH=HJ=4F, H, equals, H, J, equals, 4 Given 3 \overline{FG} \parallel \overline{HI} FG ∥ HI start overline, F, G, end overline, \parallel, start overline, H, I, end overline Given 4 \angle HFG\cong\angle JHI∠HFG≅∠JHIangle, H, F, G, \cong, angle, J, H, I When a transversal crosses parallel lines, alternate interior angles are congruent. 5 \triangle FGH\cong \triangle HIJ△FGH≅△HIJtriangle, F, G, H, \cong, triangle, H, I, J Side-angle-side congruence What is the first error Cai made in his proof? Choose 1 answer: Choose 1 answer: (Choice A) A Cai used an invalid reason to justify the congruence of a pair of sides or angles. (Choice B) B Cai only established some of the necessary conditions for a congruence criterion. (Choice C) C Cai established all necessary conditions, but then used an inappropriate congruence criterion. (Choice D) D Cai used a criterion that does not guarantee congruence

Answers

<HFG ≅ <JHI because they are corresponding angles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.

What are Corresponding Angles?

When two parallel lines are crossed by a transversal, the angles that are formed in matching corners along the transversal are regarded as corresponding angles which are congruent to each other.

In the proof, HFG and JHI are corresponding angles that are forrmed. Therefore, they are equal based on the fact that corresponding angles are congruent.

Thus, Cai's first error in the proof was made in his 4th statement. <HFG ≅ <JHI because they are corresponding anglles, therefore: A. Cai used an invalid reason to justify the congruence of a pair of sides or angles.

Learn more about corresponding angles on:

https://brainly.com/question/2009183

Answer:Answer is A

Step-by-step explanation:

just did it on khan academy

PLEASE HELP AS SOON AS EVER I NOYL HAVE 5 MINS WILL GIVE BRAINLY!

Answers

Answer: E

Step-by-step explanation:

Side triangles; 6.

(3x4/2=6)

There are 2 triangles.

Back of triangle thing is 24.

Top area is 40.

Bottom area is 32.

12+24+40+32

Answer is 108.

I THINK that is the correct answer. I am so so sorry if it isn't.

Answer:

E- 108 in squared. Hope this helps!

Step-by-step explanation:

help me please, im struggling

Answers

Answer:

8.57

Step-by-step explanation:

Hope it helps.......

Answer:

x = 8.57

Step-by-step explanation:

Hi! So first of all, I attached an image that has my best visual explanation of how the 2 triangles overlap but are indeed two separate triangles!

Since the question states that the triangles are similar, that basically means in simple terms that their sides are proportional or, are all based on the same fraction (proportion)! (An example of this is the triangles with the sides that correlate [in this problem, 11 to 7] would be 1 to 2, 3 to 6, and 4 to 8)

Now, we have to figure out which of our sides correspond, the first one being 11 to 7, and the second one being x + 15 (which I got by adding the small portion I have from the big triangle, and the portion I have from the smaller triangle together because the small triangle is inside of the big one!) to 15.

Next, I have to find out what x is based on the fraction (proportion) I already have which is 11 to 7 or [tex]\frac{11}{7}[/tex]. Then, I compare this by setting this proportion equal to are other proportion with x in it!

[tex]\frac{11}{7} = \frac{x+15}{15}[/tex]

Finally, I have to get x by itself to find what it is equal to, which you can see in the image! (If you have a number in the denominator and a variable in the numerator, and a regular number or fraction without a variable on the other side, you can just multiply both sides by the number in the denominator to cancel out the bottom of said variable fraction!)

So! X is equal to 8.57!

Hope this Helps! :)

Have any questions? Ask below in the comments and I will try my best to answer.

-SGO

Help
question on the image.​

Answers

Answer:

  no

Step-by-step explanation:

We want to compare the pot holder hole dimension to the pot dimension. The hole diameter is the overall pot holder diameter less the wall thickness on either side:

  hole diameter = (20 1/5) -2(1 2/7) = 20 -2(1) +1/5 -(2)(2/7)

  = 18 +(1/5 -4/7) = 18 +(7 -20)/35 = 18 -13/35

  = 17 22/35 . . . . cm

We want to compare this to 17 4/5. We can do that by using a common denominator for the fractions.

  17 4/5 = 17 + (4/5)(7/7) = 17 28/35 . . . . cm

The pot has a diameter of 17 28/35 cm; the pot holder has a hole diameter of 17 22/35 cm, so the hole is smaller than the pot.

The pot will not fit into the plant pot holder.

_____

You can use your calculator to find the free space around the pot by computing ...

  20 1/5 -2(1 2/7) -17 4/5 = free space = -6/35 . . . . cm

Negative space means the pot is larger than the hole.

Please Help Am Confused!

Answers

Answer:

Count the sides;

(look at image below)

= 17 - gon

what is 122 / 600?
[tex]122 \div 600[/tex]

Answers

the answer : 0.20333333333

Answer:122/600= 0.20333333333

Step-by-step explanation:

Given that
3x : 10 = 5: 2
Calculate the value of x.
Give your answer in its simplest form.
X =

Answers

Answer:

25/3

Step-by-step explanation:

3x:10=5:2

proportions are basically ratios, and ratios are basically fractions, so we can cross multiply

3x*2=10*5

6x=50

x=50/6

x=25/3

Step-by-step explanation:

please mark me as brainlest

Carmen received a gift of $5,000 from her grandmother and decided to invest it. the expression 5000(1.0005)^12t represents the amount of the money carmen is earning on her investment. carmen wants to write an equivalent expression so that she can better understand how her money is being invested. choose an equivalent expression in each drop down.

Answers

The equivalent expression for the expression that represents the amount Carmen would earn is 5000(1.0005^12)^t.

What is the equivalent expression?

Based on the expression given, Carmen's investment is compounded monthly.

The formula for calculating future value:

FV = P (1 + r)^nm

FV = Future value P = Present value R = interest rate m = number of compoundingN = number of years

5000(1.0005)^12t

= 5000(1.0005^12)^t

50002.5^12t

Please find attached the complete question.To learn more about future value, please check: https://brainly.com/question/18760477

please help :(
I'll give brainliest!​

Answers

Answer:

58km

Step-by-step explanation:

perimeter of rectangle= 2x(l+b)

2x(28+1)

2x29=58

Can someone explain to me how to use square root? How do I solve it? How do I use it? I'm not sure the right way to use square root and I have testing soon, so I wanted to know how to use it beforehand.

Answers

Answer:  a square root of a number x is a number y such that y² = x; in other words, a number y whose square is x. For example, 4 and −4 are square roots of 16, because 4² = ² = 16

The square of any number is always a positive number, so every number has two square roots, one of a positive value, and one of a negative value. For example, both 2 and -2 are square roots of 4.

How many solutions does each polynomial have?

Answers

Answer:

Every polynomial equation P(x) = 0 of any degree ≥ 1 with complex number coefficients has at least one complex number solution.

Step-by-step explanation:

Amir is a collector. He currently has 397 rare stamps. Amir wants to double his collection. How many stamps will be in Amir's collection?
stamps

Answers

Answer:

794 stamps in his collection

Step-by-step explanation:

If Amir started out with 397 stamps and doubles his collection, he would have 794.
Take the original amount and multiply it by 2

397(2) =794 stamps

Answer:794

Step-by-step explanation:

397x2=794  

James has 16 balloons. 1/4 of his balloons are red. How many red balloons does he have? Half of his red ballons pop after 10 minutes of playing with them. How many of his red ballons pop?

Answers

16/4=4, he has 4 red balloons
half of them pop
4/2=2
2 red balloons pop.

What is the expected probability of spinning a 1 on the following spinner?

a spinner with 5 equal sections labeled 1 through 5.

enter your answer as a fraction, like this: 42/53

Answers

Answer:

1/5

Step-by-step explanation:

What is the value of x? The figure is not drawn to scale. Show work

Answers

that's what I can find out about the sum. sorry if I solved it wrong.

A middle school took all of its 6th grade students on a field trip to see a ballet at a theater that has 4500 seats. The students left 3105 seats vacant. What percentage of the seats in the theater were filled by the 6th graders on the trip?

Answers

Given :-

[tex]\bull[/tex]Total number of seats in theatre = 4500

[tex]\bull[/tex]Total number of seats left vacant = 3105

Solution:-

[tex]\longrightarrow[/tex]Number of seats occupied = Total number of seats in theatre - Total number of seats left vacant

[tex]\longrightarrow[/tex]Number of seats occupied

[tex]\quad[/tex]= 4500 - 3105

[tex]\longrightarrow[/tex] 1395

[tex]\\[/tex]

Now,

[tex]\begin{gathered}\bull \sf Percentage \:of \:seats \:filled = \frac{Seats \: filled \: by \:6th \:grader }{Total \:number \:of \:seats} \times 100 \% \\\end{gathered} [/tex]

[tex]\begin{gathered}\bull \sf Percentage \: of \:seats \: filled = \frac{1395}{45\cancel{00}} \times \cancel{100} \% \\\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf \frac{1395}{45} \% \\\end{gathered} [/tex]

[tex]\begin{gathered}\implies\quad \sf 31 \% \\\end{gathered} [/tex]

[tex]\longrightarrow[/tex]Thus , 31 % of seats in the theater were filled by the 6th graders on the trip

Help me on this question please!

Answers

I hope I can help you:)

[tex]\huge\fcolorbox{blue}{red}{Answer}[/tex]

════════════════════

[tex]\frac{ x }{ 3 } +6-2x=-6[/tex]

[tex]x+18-6x=-18 [/tex]

[tex]-5x+18=-18 [/tex]

[tex]-5x=-18-18 [/tex]

[tex]-5x=-36 [/tex]

[tex]x=\frac{-36}{-5} [/tex]

[tex]x=\frac{36}{5} [/tex]

[tex]= 7 \frac{1}{5}[/tex]

[tex]= 7.2[/tex]

So the answer is [tex]x = 7.2[/tex] or [tex]= 7.2[/tex]

══════════════════════

Step-by-step explanation:

#Carry on learning

Simplify the expression 7+(9+x)

Answers

Answer:   = 16 + x

Please mark brainliest, it helps alot

Step-by-step explanation:

hello!

==============================================================

Combine Like Terms:-

[tex]\bigstar{\boxed{\pmb{7+9x+x}}[/tex]

[tex]\bigstar{\boxed{\pmb{16+x}}[/tex]

Are there any more like terms? No, because 16 & x aren't like terms.

========================================================

note:-

Hope everything is clear; if you need any clarification/explanation, kindly comment, and I will comment and/or edit my answer :)



Pearl and Jason are working on homework together when Pearl says, "got x = 6 and x=13 as the solutions, but it looks like you got something different. Which solutions are right?
"I found a mistake," says Jason. Where did Pearl make a mistake? Explain why it is incorrect. Pearl's work is shown below.

Answers

The mistake made by pearl from solving the quadratic equation is that he didn't equate the equation to zero(0) before solving

How to solve quadratic equation?

x² - 3x - 10 = 8

x² - 3x - 10 - 8 = 0

x² - 3x - 18 = 0

x² - 6x + 3x - 18 = 0

x (x - 6) + 3(x - 6) = 0

(x + 3) (x - 6) = 0

x + 3 = 0. x - 6 = 0

x = -3. x = 6

Learn more about quadratic equation:

https://brainly.com/question/1214333

2x+4=8
Find x and show work.

Answers

Answer:

X is 2 2+2= 4 plus 4 = 8

Step-by-step explanation:

Hoped this helped

Answer:

x = 2

explanation:

2x + 4 = 8

subtract 4 from both sides

2x + 4 -4 = 8 -4

2x = 4

divide both sides by 2

2x/2 = 4/2

x = 2

Recheck:

2x + 4 = 8

2(2) + 4 = 8

8 = 8

Hence proved the solution is correct.

PLEASE HELP ASAP
Zeke has spent $3.75 on gel pens in the past, and now he plans to buy some new ones. The
new gel pens cost $1.25 each. If Zeke buys 6 new gel pens, how much will he have spent on
gel pens in total?

Answers

Answer:

11.25

Step-by-step explanation:

Base on the given we can conclude that:

3.75 + 6 × 1.25

Now solve the following:

3.75 + 6 × 1.25

3.75 + 7.50

=11.25

~lenvy~

Answer:11.25

Step-by-step explanation:

If each of these runners travels the indicated number of spaces in the same amount of time, at which numbered spot will all of the runners be next to one another?

Answers

Answer:

Step-by-step explanation:

This is kinda confusing give me a second

svp c'est pour un dm de math

Answers

Answer:

d

Step-by-step explanation:

the answer is d because we learned about this everyday

ILL MARK BRAINILEST !! 80 POINTS
Question 1: 11 pts
Find the vertex of the parabola y = x2 - 10x + 16.
A. (-5,91)
B. (-9,5)
C. (5,-9)
D. (8,0) and (2,0)

Answers

[tex]\\ \rm\rightarrowtail y=x^2-10x+16[/tex]

[tex]\\ \rm\rightarrowtail y=x^2-10x+16+9-9[/tex]

[tex]\\ \rm\rightarrowtail y=x^2-10x+25-9[/tex]

[tex]\\ \rm\rightarrowtail y=(x-5)^2-9[/tex]

Vertex form

y=a(x-h)^2+k

So

vertex:-

(h,k)=(5,-9)

Is -4,6 a solution to y=-9

Answers

Answer:

No, (-4, 6) is not a solution to y = -9.

Step-by-step explanation:

y= -9 has a horizontal line graph.  Every point on this line has -9 as its y-coordinate.  (-4, 6) does not lie on that line and is therefore not a solution to y = -9.

Other Questions
The unequal sharing of scarce resources and social rewards is called a. the caste system. c. social stratification. b. social inequality. d. societal rank. please select the best answer from the choices provided a b c d Which proslavery group traveled to the Kansas-Nebraska territory to set up a government? Gives 2 reaction in which benzene ring is retained and 2 reaction in which benzene ring is not retained Physical stressors to an ecosystem that are removed or corrected first in restoration projects typically include ______. Please help me I AM BEGGING please The ___ trade allowed the Bantu to build Great Zimbabwe. fur gold iron silk PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!! The sales tax is $14 per$100 What percent is thesales tax? Show yourwork.NEED HELP ASAP PLEASE A proton wit a kinetic energy of 9. 3 x 10^-15 j moves perpendicular to a magnetic field of 0. 87 t. What is the radius of its circular path? AABC and AXYZ are similar. Find the missing side length.YB.6.?155A4X12Z(The triangles are not drawn to scale.) Which of the following characteristics is associated with a general ledger?a.)This is also known as the original book of entry.b.)If it is May, then the accounting transactions for February, March, April and May are listed.c.)It is categorized by account.d.)It is the initial documentation of a financial transaction as it originates. Limits are only limits if you accept them as such.AgreeDisagreeExplain why you voted the way you did. Hello, Again i need help again What is the area of the shaded region?A. 16B. 8C. 4D. 2 What is the difference between sulphur and sulphur molecules Find the perimeter and area of the following figure.10 ft5 ft8 ft3 ft When heated, KClO3 decomposes into KCl and O2. 2KClO32KCl+3O2 If this reaction produced 17.4 g KCl, how many grams of O2 were produced? maSS write a story with these words plisss Using scientific language explain first why the earth goes through seasons (winter, spring, summer, fall) and then explain specifically why Canada can get so cold while other parts of the world stay warm?please help, will give brainliest! choose the error in the sentencePeople usually eats dinner late in my city. a) eats b) city c) usually Two objects of the same mass travel in the same direction along a horizontal surface. Object X has a speed of 5 ms and object Y has a speed of 2 ms, as shown in the figure. After a period of time, object X collides with object Y.Consider the situation in which the objects collide but do not stick together. Which of the following predictions is true about the center of mass of the two-object system immediately after the collision?