please help me please please help please

Answer:

The equation for the general term of the sequence is:

[tex]a_{n} = -6(-\frac{2}{3})^{n-1}[/tex]

The sequence converges to 0.

Step-by-step explanation:

First, we need to find the formula for the general term of the sequence, which is a geometric sequence, meaning that it has a common ratio, given by:

[tex]r = \frac{4}{-6} = \frac{-\frac{8}{3}}{4} = -\frac{2}{3}[/tex]

The equation of a geometric sequence has the following format:

[tex]a_{n} = a_{1}(r)^{n-1}[/tex]

In which [tex]a_{1}[/tex] is the first term.

In this question, we have that [tex]a_{1} = -6, r = -\frac{2}{3}[/tex]. So, the equation for the general term is:

[tex]a_{n} = a_{1}(r)^{n-1} = -6(-\frac{2}{3})^{n-1}[/tex]

To find if the sequence converges, we find the limit of [tex]a_{n}[/tex] as [tex]n \rightarrow \infty[/tex]. So

[tex]\lim_{n \rightarrow \infty} a_{n} = \lim_{n \rightarrow \infty} -6(-\frac{2}{3})^{n-1} = -6(-\frac{2}{3})^(\infty) = 0[/tex]

A number between 0 and 1 elevated to infinity tends to 0, so the sequence converges to zero.

The required nth term is [tex]a_n=a(-\frac{2}{3} )^n[/tex]

The Geometric series formula or the geometric sequence formula gives the sum of a finite geometric sequence.

Given that,

First Term=[tex]-6[/tex]

Common Ratio is,

[tex]\frac{4}{-6}=\frac{2}{-3} \\\frac{4}{\frac{-8}{3} }= \frac{2}{-3}[/tex]

So, the given sequence is in a geometric sequence.

So, the nth term of the given series is,

[tex]a_n=ar^{n-1}\\=-6(-\frac{2}{3} )^{n-1}\\a_n=a(-\frac{2}{3} )^n[/tex]

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Answer:

a=-4

Step-by-step explanation:

   6a+6=-18

         -6   -6

   6a=-24

  ___  ___

   6        6

a=-4

Answer: a=-4

Step-by-step explanation:

Subtract

from both sides of the equation

6+6=−18

6+6−6=−18−6

Simplify

Subtract the numbers

Subtract the numbers

6=−24

Divide both sides of the equation by the same term

6=−24

66=−246

Simplify

Cancel terms that are in both the numerator and denominator

Divide the numbers

=−4

Answer:

The slope is undefined.

Step-by-step explanation:

A slope of zero would be a horizontal line, this is a vertical line, which would mean it's undefined.

Answer:

The answer should be A, divide by 1000

Answer:

401884

Step-by-step explanation:

Answer:

401884

Step-by-step explanation:

10000 x 40-16+1900=

Answer:

14,364

Step-by-step explanation:

513x7=3591x4=14,364

Answer: D. 40 degrees (I'm assuming you meant 40 not 400)

Step-by-step explanation:

There are 180 degrees in a triangle so we list the angles in an equation:

180 = 50 + 2y + y + 10

Subtract 60 from each side of the equation:

120 = 3y

Divide 3 from each side of the equation:

40 = y  

Answer:

Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1.

Step-by-step explanation:

Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1.

We have given that,Trapezoid ABCD is shown on the coordinate grid. Trapezoid ABCD is dilated with the origin as the center of dilation using the rule (x, y)→(0.4x, 0.4y) to create trapezoid A'B'C'D'.

We have to find the correct statement.

If the scale factor is greater than 1, the image is an enlargement (a stretch). If the scale factor is between 0 and 1, the image is a reduction (a shrink). If the scale factor is 1, the figure and the image are congruent.

Therefore from the given we can conclude that the statement,

If the scale factor is between 0 and 1, the image is a reduction

Therefore,Trapezoid A'B'C'D' is smaller than trapezoid ABCD because the scale factor is less than 1 is correct.

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Answer:

Step-by-step explanation:

1. Find the system for 2x+3y=5 and 3x+y=6 using substition.

I will solve your system by substitution.

(You can also solve this system by elimination.)

3x+y=6;2x+3y=5

Step: Solve3x+y=6for y:

3x+y+−3x=6+−3x(Add -3x to both sides)

y=−3x+6

Step: Substitute−3x+6foryin2x+3y=5:

2x+3y=5

2x+3(−3x+6)=5

−7x+18=5(Simplify both sides of the equation)

−7x+18+−18=5+−18(Add -18 to both sides)

−7x=−13 (Divide both sides by -7)

x=[tex]\frac{13}{7}[/tex]

Step: Substitute [tex]\frac{13}{7}[/tex] forxiny=−3x+6

y=−3x+6

y=−3([tex]\frac{13}{7}[/tex])+6

y=[tex]\frac{3}{7}[/tex]

2. Let's solve your system by elimination.

3x+y=6;2x+3y=5

Multiply the first equation by -3,and multiply the second equation by 1.

−3(3x+y=6)

1(2x+3y=5)

Becomes:

−9x−3y=−18

2x+3y=5

Add these equations to eliminate y:

−7x=−13

Then solve−7x=−13for x:

−7x=−13 (Divide both sides by -7)

x=[tex]\frac{13}{7}[/tex]

Now that we've found x let's plug it back in to solve for y.

Write down an original equation:

3x+y=6

Substitute[tex]\frac{13}{7}[/tex] forxin3x+y=6

3([tex]\frac{13}{7}[/tex])=6 (Simplify both sides of the equation)

y+39/7+−39/7=6+−39/7 (Add (-39)/7 to both sides)

y=[tex]\frac{3}{7}[/tex]

Answer:

124

Step-by-step explanation:

Answer:

1,456

Step-by-step explanation:

x% * 10= 4 x = 40%

40% * 3,640 = 40/100 * 3,640 = 4*364 = 1,456

Answer:

180 = (7x +5)+(3x -5 ) + 90

180 = 10x +90

10x = 90

x= 9

The required value of variable "x" is 9 which is determined by the property of the interior angles of the triangle.

Triangle is defined as a basic polygonal shape of a triangle that has three sides and three interior angles. It is one of the fundamental shapes in geometry and is represented by the symbol Δ.

The triangle is given in the question which has :

(3x - 5) and (7x + 5)

We know that the sum of all interior angles of the triangle is always 180 degrees.

As per the property of interior angles,

⇒ 180 = (7x +5)+(3x -5 ) + 90

Rearrange the terms of  variable "x" and combine them,

⇒ 180 = 10x +90

⇒ 10x  = 180 - 90

⇒ 10x = 90

⇒ x = 90/10

⇒ x = 9

Therefore, the required value of variable "x" is 9.

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Answer:

It is the one you have selected. "The exact number of children on the playground each day."

Step-by-step explanation:

The stem and leaf plot shows each amount of children specifically. The histogram has the ages in groups. The stem and leaf plot is more specific and shows the inside information while the histogram only shows the number of children and frequency put in groups. I also took the quiz and got this right.

Hope this helps! Make sure to give me brainiest if somebody else answers.

Answer:

The answer is C

Step-by-step explanation:

I did quiz

Answer:

guess it is hard

Step-by-step explanation:

Answer:

hmmmm

Step-by-step explanation:

Answer:3cm

Step-by-step explanation:

Answer:

HABATARI TE RA. MOSHOMOTE Y DORITE TSUKANA SA DO RA AOI

Step-by-step explanation:

Answer: Step-by-step explanation:

21^2= 441

21*21=441

8^3 = 512

8*8*8= 512

Hope This Helps!!!

Answer:

Question 4.

21^2=441

Question 5

8^3=512

Step-by-step explanation:

21×21=441

8×8=64×8=512

Answer:

9 [tex]\sqrt{2}[/tex]

Step-by-step explanation:

To find the answer of this equation, you would use the law of sine

so... (18)/sin(90)= (x)/sin(45)

to find for the length of one side simply isolate for x.

Because sin(90) equals 1, you just have to multiply 18 by sin(45) which equals [tex]\sqrt{2}[/tex]/2

so x= 9[tex]\sqrt{2}[/tex]

Answer:

opposite of 2

Step-by-step explanation:

Answer:

The answer is the Opposite of 2

Step-by-step explanation:

Hope this helps!

Answer:

is there a diagram or graph that goes along with this?

Step-by-step explanation:

Answer:

52.6316%

Step-by-step explanation:

145-95/|95|*100

Answer:

2x-15+10x-25=180

2x-10x=180+15+25

-5x=220

=44

ı hope its true

Step-by-step explanation:

Answer:

976.80

Step-by-step explanation:

880 times 0.11 to find amount that it increased by added to the amount it was gives you 976.80

Answer:

132

Step-by-step explanation:

Answer:

D? I'm not fully sure but I did the math so hopefully its right ^^

Answer:

.7

Step-by-step explanation:

I'm going to assume that there will just be one final payment at the end. I am also going to discard the fact that the loan was approved for 36 weeks becuase I don't know what to do with that information

I will be using the following formula

[tex]FV=PV(1+i)^n[/tex]

Plugging in the numbers we get

7388=7000(1+.08)^n

We we divide by 7,000 and simplify what we can to get

1.0554=1.08^n

We then write the following log

log(1.0554)/log(1.08)=n

Compute this and get n= .7

Answer:

The Radius is the distance from the center outwards. The Diameter goes straight across the circle, through the center. The Circumference is the distance once around the circle.

Answer:

hahahaha sorry its 50.94

Step-by-step explanation:

Answer:

C- Based on the data, this is an example of causation

Step-by-step explanation:

This is because by him putting the ice cream into a freezing area, the ice cream remained frozen. Imagine if he put in in a warm area, it would melt. Hope this helps!

The option best describes this situation is C; Based on this data, this is an example of causation.

Correlation of two pairs of data values tells about the degree of movement that can occur in one of the data values when other data value is increased or decreased respectively.

Also, Causation refers to causing something. When one variable influences another variable.

The ice cream remained frozen caused by the fact that it was put in the freezer by Jonathan.

We can also say that, ice cream remained frozen is the result of the occurrence of the event that it was put in the freezer.

So, The option best describes this situation is C; Based on this data, this is an example of causation.

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