Mathematics High School

Find the 14th term of the geometric sequence 2, 6, 18,

Answers

Answer 1

The geometric sequence is starting with 2 and multiplying by 3 every time. We can get the rule of this sequence by...

If 2 is a_0, 6 is a_1, 18 is a_2, etc.

a_n=2*3^n

For the 14th term, which is a_13, the value is 2*3^13.

Using a calculator because I'm too lazy to calculate 3^13 sorry, we can get.

3188646

Answer 2

The required 14th term will be 3188646 in the given geometric sequence.

What is geometric series?

The geometric series defined as a series represents the sum of the terms in a finite or infinite geometric sequence. The successive terms in this series share a common ratio.

The nth term of a geometric progression is expressed as

Tₙ = arⁿ⁻¹

Where a is the first term, r is the common ratio

The geometric sequence is given in the question, as follows:

2, 6, 18,...

We have to determine the 14th term of the given geometric sequence.

As per the given geometric sequence,

The first term a = 2.

The common ratio r = 6/2 = 3

14th term = arⁿ⁻¹

Substitute the value of a = 10, r = -2, and n = 12 in the formula,

14th term = 2(3)¹⁴⁻¹

14th term = 2(3)¹³

14th term = 2(1594323)

14th term = 3188646

Thus, the required 14th term will be 3188646.

Learn more about geometric sequence here:

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Related Questions

ANYONE HELP PLEASE<3

Answers

Answer:

y = (2/3)x + 7

Step-by-step explanation:

Slope intercept form is y = mx +b

1) We start off with y =

2) m = slope. Since we know that the slope is 2/3 we can plug it in. y = 2/3x

3) b is y-intercept which = 7.

Put it all together: y = 2/3 x + 7

The answer is

y = 2/3x +7

Hope this helped!

Can you please help me?

Answers

Answer: No

Step-by-step explanation: Because.

no, 3 times 2 is not 10

Given that 8 x − 3 y = 36 Find x when y = 3 Give your answer as an improper fraction in its simplest form.

Answers

Answer:

5.62

Step-by-step explanation:

8x-3y=36

8x-3×3=36

8x=36+9

x=5.62

Answer:

x= 45/8

Step-by-step explanation:

8x - 3y = 36

8x - 3(3) = 36

8x - 9 = 36

8x=45

x=45/8

Need to know now!
How do you solve “at this rate...”

Answers

Answer: you do the length times width

Step-by-step explanation:

Answer:

"At this rate" for me usually will be some sort of dividing

The sides of a triangle measure 2x + 5, X – 4, and
3(2x + 1). What is the perimeter of the triangle?

Answers

Answer:

9x+4

Step-by-step explanation:

perimeter= sum of all sides

perimeter= (2x+5)+ (x-4)+ 3(2x+1)

= 2x+5+x-4+ 6x+3

= 2x+x+6x+5+3-4

= 9x+8-4

=9x+4

-(7-9)z-6z=8(-6+2) solve for z
can I see the process I know the answer is 8 I just don't understand the process

Answers

Answer:

(-(7-9))(z)-6z= 8(-6+2)

Simplify

-(-2)(z) -6z =8(-6+2)

Multiply 8*-6 and 8*2

2z -6z= -48+16

Combine like terms

2z+-6z =-32

-4z=-32

Divide both sides by -4

z=8

Step-by-step explanation:

what is the equation for (0,3) and (1,1)

Answers

Y=-2x+3 is the answer.

60% of 15 is what answer

Answers

The correct answer is 9. :)

Answer:9

Step-by-step explanation:

Think of it this way:

If 15=100%

then x= 60%

So what you do is you multply 60 times 15 and divide it by 100 to give you the answer of 9. To me this is the simplest way to do it, I believe it’s called butterfly multiplying. You cross multiply and then you divide.

3. Use the equation to answer the following question. 3x2 + 7x - 20 = 0 What are the solutions of the equation?

A. X = 5 and x = 4 3
B. X = - 4 and x = 5 3 4
C. X = and x = -5 3 5
D. X = and x = -4 3 ​

Answers

Hmmm I got u I know somebody that can help you really good I have to get them right now I’m

Congruen Figures lyures Which figure is congruent to the given figure? Will give brainliest ​

Answers

Answer: Its the rectangle thats going upwards not flat.

Step-by-step explanation:

Answer: The rectangle at the very top and the one at the bottom are congruent.

Step-by-step explanation: REMEMBER YALL: congruent means the same( in geometry)

//Give thanks if helpful :)//

what is the table of values for y=x+2

Answers

Answer:

x        y

-2       0

0       2

Slope: 1

y-intercept = 2 ( 0, 2 )

Hope this helped!

Have a supercalifragilisticexpialidocious day!

how do you solve this problem step by step
y=x+3
y=x-1

Answers

Step-by-step explanation:

since they have the Same slop (1) and different y-intercepts then they're parallel and there isn't a solution for this.

set them like an equation: x+3=x-1
then cancel the equal terms on both sides of the equation which would end you up with: 3= -1, after that your answer would be no solution since there’s no terms in order to get you an answer.

1A roll of ribbon is 1,780 inches long. It takes 1 yard
of ribbon (36 inches) to wrap a gift:
How many gifts can be wrapped?

Answers

6 gifts. 6 yards of ribbon.

I might sound really dum I forgot what shape this is someone please tell me ​

Answers

Answer:

trapezoid

Step-by-step explanation:

its okay i had to look it up to make sure i was right lol

Can i have brianliet plz

Which expression is equivalent to
5(6p + 5) + 2(8p + 3)?

Answers

Answer:

46p + 31

hope it's helpful

Answer:

46p + 31

Step-by-step explanation:

Distribute : 5(6p + 5 ) to get 30p+25

Distribute : 2(8p + 3) to get 16p + 6

new expression : 30p + 25 + 16p + 6

Add these together to get : 46p + 31

i hope this helps (:

Is 5 26 28 a right triangle?

Answers

Yes, it’s a right triangle.

Write the inequality for the situation.

The number g is greater than 25

Answers

Answer:

g > 25

I hope this helps you :D

G>25
Is this what you mean?

PLEASE ANSWER QUICK I NEED HELP

Answers

Answer:

I think c?

Step-by-step explanation:

the answer is c!!!

explanation sindkdksksjdkdjdjej

brailnsliest would help

Solve for x and then find the measure of B

Answers

Answer:

x=6

b= 126

Step-by-step explanation:

8x+78 = 2x+114

8x-2x = 114-78

6x=36

x=6

--------

b=2x6+114

b= 126

I need help with geometry

Answers

Answer:

x = 31, y = 53, z = 96

Step-by-step explanation:

i got this question ina test so yea

Factor the expression
C^2 - 2c - 63

Answers

Answer:

(c + 7) ( c - 9)

Step-by-step explanation:

Answer:

(c + 7)(c - 9)

Step-by-step explanation:

can someone help me answer this pls.

Answers

Answer:

a. {7,14}

b. {10,17,24,31}

c. (no)

Step-by-step explanation:

c. because for two different values of domain there is a single value of codomain (range )

Please help on this question:

Answers

Answer:

$149.88

Step-by-step explanation:

angle A and angle B are supplementary angles. If m angle A = (2x + 26)° and m
angle B = (x + 25)°, then find the measure of angle B.


x=43

Answers

Answer:

m angle B = 68°

Step-by-step explanation:

Since they are supplementary, they add up to 180°

(2x+26) + (x+25) = 180

add like terms together

3x+26+25=180

simplify the left side

3x+51=180

subtract 51 from both sides

3x=129

divide both sides by 3

x=43

Then you plug in x into measure B

(43)+25

68

Given constants a and b such that x2 + ax + b has factors (x + 7) and (x + 2) what is a?​

Answers

Answer:

a=9 , b=14

Step-by-step explanation:

Just do the operation (x+7)(x+2)

x(x)+x(2)+7(x)+7(2)

x^2+2x+7x+14

x^2+9x+14

So a=9 and b=14

An oval running track is 1/5 mile long. Elena runs on this track, completing each lap in 1/20 of an hour. What is Elena's running speed? (in miles per hour)


PLEASE I NEED HELP ASAP

Answers

Answer:

5 miles per hour

Step-by-step explanation:

the answer is 5 miles per hour, sorry if I am wrong.

answers ASAP plsssssss

Answers

Answer:

Step-by-step explanation:the answer is option A as 1 • 3 =3 and 3+4=7

Which number is the base?

(-14)^3

Answers

Answer: -2744

Step-by-step explanation:

Try -2744? ( If i am wrong than sorry

Find the perimeter
12 in
6.5 in
6.5 in
12 in

Answers

Answer:

The perimeter is 37 inches (3 ft. 1 in.)

Step-by-step explanation:

24 + 13 = 37

12 x 2 = 24

6.5 x 2 = 13

3.2(s+10)=32
what is s?

Answers

3.2s+32=32
3.2s=32-32
3.2s=0
S=0
S = 0 hope this helped :)
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