Mathematics High School

find the 6th term of geometric sequence whose common ratio is 3/2 and whose first term is 2

Answers

Answer 1

Answer:

243/16

Step-by-step explanation:

we have a1 = 2

r = 3/2

n = 6

Find The 6th Term Of Geometric Sequence Whose Common Ratio Is 3/2 And Whose First Term Is 2

Answer 2

The 6th term of the geometric sequence is 243/16

The given parameters are:

[tex]a = 2[/tex] --- the first term

[tex]r = 3/2[/tex] --- the common ratio

The nth term of a geometric sequence is:

[tex]T_n = ar^{n-1[/tex]

So, the 6th term would be:

[tex]T_6 = 2 \times (3/2)^{6-1[/tex]

Subtract 1 from 6

[tex]T_6 = 2 \times (3/2)^5[/tex]

Evaluate the exponent

[tex]T_6 = 2 \times (243/32)[/tex]

Simplify

[tex]T_6 = 243/16[/tex]

Hence, the 6th term of the geometric sequence is 243/16

Read more about geometric sequence at:

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Related Questions

9 4/5÷3 1/2 as a fraction

Answers

Answer:

14/5

Step-by-step explanation:

Answer:

2 4/5

Step-by-step explanation:

9 4/5÷3 1/2

Change mixed fractions into improper fractions.

9 4/5=49/5

3 1/2=7/2

Keep Change Flip

49/5 x 2/7 =14/5

=2 4/5

Hope this helps :)

help me!

A

B

C

D

E

F

Answers

Answer: g

Step-by-step explanation:

PLEASE HELP GIVING BRAINLIEST! :)
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Which is the correct translation of the sentence into an equation?

Four less than a number is 12.

A: n-12=4
B: n-4=12
C: 4-n=12
D: 12-n=4

Answers

Answer:

Step-by-step explanation:

n is a number. 4 less then that number translates to n-4, so the answer is B:

n-4=12

Hope that helps! :)

Answer:

C: n-4= 12

Step-by-step explanation:

To understand why this answer is correct, lets break down the sentence.

Four less = [tex]4-[/tex]The part "than a number" can be represented as n as in math, unknown numbers are variables in order to isolate them to and figure out their values. "is 12" will represent the sum of the equation as the sentence is clarifying that that 4 minus the variable n is equal to 12.

Revised Answer: n-4=12 is actually the answer as n can be any quantity, and n -4 =12 literally means n + (-4) = 12.

PLS HELP ME 86 points

Answers

Answer:is easy

Step-by-step explanation:

your answers are:

A. 76

B. 35

C. 48

D. 62

E. 77

F. 78

G. 87

H. 67

I. 32

J. 63

K. 72

L. 78

Choc-Arcade has Miguel's two favorite things: a chocolate shop and an arcade! Not only that, but Choc-Arcade's loyalty program rewards Miguel with free game tokens every time he buys chocolates. He gets 4 free game tokens for each chocolate he buys. There is a proportional relationship between the number of chocolates Miguel buys, x, and the number of free game tokens he gets, y.

Answers

Answer:

x : 4y

Step-by-step explanation:

For every one chocolate he buys, he gains 4 free game tokens

determine the measurement of segment XV

Answers

Answer:

Segment XV is equal to 24 mm

Step-by-step explanation:

Both triangles are clearly congruent, both having the same type of angles as well as angle LKJ and angle VKW having the same angle measure, 21 degrees. Lastly, if you were to take out segment JL and WV, the triangles would fold the same. All of this leads to segment XV being the same as segment KL which leads it to be 24 mm. (Sorry if this is confusing, just trying to explain how my brain understood the problem. If you need me to elaborate more let me know).

what is the common denominator of 6/7 and 3/8(please help i'm failing math)

Answers

Answer:

Step-by-step explanation:

Cuál es la razón que indica el avance de un automóvil a 40000 m en 60 minutos?

Answers

La razón que indica el avance de un automóvil a 40,000m en 60 min es 666.67 m/min

Queremos obtener la razón entre la distancia avanzada por un automóvil y el tiempo en el que se avanza esta distancia.

Recordamos que:

velocidad = distancia/tiempo.

Entonces lo que calcularemos es la velocidad, en promedio, del autmóvil.

Tenemos:

distancia = 40,000mtiempo = 60min

Velocidad = 40,000m/60min = 666.67 m/min

Sí quieres aprender más, puedes leer:

https://brainly.com/question/25316464

Substance A has 2% alcohol mixture, and substance B has 6% alcohol mixture. To mix substance A and B for a capacity of 60 liters with 3.2% alcohol mixture, how many liters of substance A and B are used each?

Answers

Answer:

18 liters of 6% substance B

42 liters of 2% substance A

Step-by-step explanation:

let x be the liters of 6%, the balance of 60 - x liters is the 2% together they make 60 liters of 3.2%

6x + 2(60 - x) = 3.2(60)

distribute

6x + 120 - 2x = 192

Combine like terms

4x = 72

Divide bothsides by 4

x = 18 liters of 6%

60 - x = 42 liters of 2%

x=-5y+2
x=3y-2
elmantion or substutuion

Answers

Answer:

y = 1/2

Step-by-step explanation:

x = -5y+2

x=3y-2

substitute for x ans solve

3y-2=-5y+2

8y-2=2

8y = 4

y= 4/8

y=1/2

A lava lamp is an example of which type of heat transfer?
A. Solar Energy
B. Radiation
C. Conduction
D. Convection

Answers

Answer:

Brainlest

Step-by-step explanation:

✨D. ✨

We did this in 6th grade. The energy changes the density of the wax as it heats up; the molecules expand out from each other, causing the wax to become liquid-like blobs. By convection, the heat moves the liquid-like wax blobs up. By radiation, the heat energy moves from the glass and out in electromagnetic waves. Lava Lamp Model of Convection As a substance gains heat energy (in the case of the lava lamp, heat is transferred from the hot light bulb to the lava), it becomes less dense than the surrounding liquid ), causing the substance to rise.

Additionally, what type of energy does a lava lamp use? Energy starts from the electricity flow, when you plug in a lava lamp. The energy becomes thermal energy to produce heat from the light at the bottom of the lava lamp. The thermal energy from the light is transferred to the lava and uses the thermal energy to warm up the lava lamp.

Conduction is the transfer of heat through direct contact (in this case, metal coil contact with the "lava" at the bottom of the lava lamp). Convection is the transfer of heat through movement such those in a flowing medium (such as liquids or gases, or in this case as the "lava" rises in a lava lamp).

How convection works in the mantle?

Mantle convection is the very slow creeping motion of Earth's solid silicate mantle caused by convection currents carrying heat from the interior to the planet's surface. This hot added material cools down by conduction and convection of heat.

Parallel Lines
Transform a Trapezoid
Two lines or line segments that are parallel in the preimage will be parallel in the image in a rigid
transformation. Critique the validity of the statement.
Provide evidence that supports this statement or that contradicts it from your investigations using the
Dynamic Geometry Tool.

Answers

Answer:

Writing formal proofs to prove conjectures about lines, angles and triangles ... parallel to each other or on the same line—and since the altitudes of both ...

By the Trapezoid Midsegment Theorem, the midsegment of a trapezoid is parallel to each base and its measure is one half the sum of the lengths of the bases.Step-by-step explanation:

Hope this helps

a break on the earth crust that is a result of movement or shaking refers to

Answers

Answer:

A fault

Answer:

1. 35

2. 65

3. 10

4. 115

5. 65

6. 55

7. 125

Step-by-step explanation:

triangles add up to 180 with all 3 sides

Answer:

115°

Step-by-step explanation:

Vertically opposite angles are equal.

When solving an equation, Tina gets to the last of line of her work and is left with "7=7." What does this mean?
A
The solution is 7
B
There is infinite solutions.
С
There is only one solution
D
There is no solution.

Answers

Answer:

B , there are infinite solutions.

Step-by-step explanation:

If you end an equation with a true statement, such as 0 = 0, then any value of the variable(s) you are solving for will satisfy the equation. This means that there are infinite solutions.

On a certain hot summer's day, 294 people used the public swimming pool. The daily prices are for $1.75 children and for $2.25 adults. The receipts for admission totaled $635.50 How many children and how many adults swam at the public pool that day?

Answers

Answer:

a = 242 adult and c = 52 children

Step-by-step explanation:

Solving as a system of equations.

a = adult

c = children

The adult and the children equal 294 people

a + c = 294

adult cost is 2.25 per adult

Total amount of adult is 2.25a because the number of adult are not given.

children cost is 1.75 per children

Total amount children is 1.75c because the number of children are not given

Total receipts $635.50.

a + c = 294 multiply by -1.75 -1.75a - 1.75c = - 514.50

2.25a + 1.75c = 635.50 does not change 2.25a + 1.75c = 635.50

Add these equations together

-1.75a - 1.75c = - 514.50

2.25a + 1.75c = 635.50

.50a = 121.00

a = 121.00/.50a

a = 242 adult

a + c = 294

242 + c = 294

c = 294 - 242

c = 52 children

Check: $2.25(242) + $1.75( 52) = $635 .50

$544.50 + $91.00 = $635.50

$635.50 = $635.50

The first three terms of a geometric sequence are as follows.
2, -8, 32
Find the next two terms of this sequence.
Give exact values (not decimal approximations).

Answers

Answer:

-128, 512

Step-by-step explanation:

-8/2 = -4, 32/-8 = -4, so the ratio r = -4. 32*-4 = -128, -128*-4 = 512

I scared of exam how do i do

Answers

Answer:

If a line cuts through a set of parallel lines, it is called a transversal.

x and the angle next to 26 degree angle would be corresponding angles.

If a line makes 180 degrees, then x and 26 would have to equal to 180 degrees

x+26 = 180

x = 180-26

x = 154

HELP PLZ ︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎︎ ︎

Answers

ok done. Thank to me :>

Which of the following expressions is modeled on the number line?
+
-2 -1
+
0
+
1
5
-
-
2
3
4
ܕܠܐ
6
7
-N
8
9
10
-2(3)
02.3
6 = -3
0 0 + 6

Answers

The answer is -2 -1

Andre says that 3 \div÷ 2/3 = because there are 4 groups of 2/3 and 1/3 left. Do you agree with Andre?

Answers

Answer: No

Is this 3/(2/3)? I'll assume it is.

Step-by-step explanation:

3/(2/3) can be rewritten as 3*(3/2)

3*(3/2) = 9/2 or 4 1/2

Four groups of 2/3 would make 8/3 or 2 2/3, not 4 and 1/3.

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