1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
kramer
2 years ago
14

Geometric series 2 + 6 + 18 + 54 + ... , find tn

Mathematics
1 answer:
7nadin3 [17]2 years ago
4 0

The function that gives the value of <em>tn</em> for the geometric series is presented as follows;

t_n = 2 \times 3^{(n - 1)}

<h3>How can the expression that represents the geometric series be found?</h3>

The given geometric series is presented as follows;

2 + 6 + 18 + 54 +...

From the above series, we have;

  • First term, <em>a</em> = 2

  • Common ratio, <em>r </em>= 6 ÷ 2 = 18 ÷ 6 = 54 ÷ 18 = 3

The nth term of the geometric series is therefore;

t_n = a \cdot r^{(n - 1)}

Which gives;

t_n = 2 \times 3^{(n - 1)}

Where, tn is the nth term

Learn more about geometric series here:

brainly.com/question/2289626

#SPJ1

You might be interested in
Convert the following into fractions in their simplest form
sladkih [1.3K]

Answer:

1/10

13/100

4/5

12/25

3/10

63/100

3/5

51/200

2/9

5/11

To prove the last 2 recurring ones:

0.222222... = x

10x = 10 * 0.22222... =  2.222222....

Notice how the decimal part of 10x is the same as for x:

10x - x = 2.2222222... - 0.222222... = 2

10x - x = 9x = 2

x = 2/9

Same procedure for the other one but times by 100 instead:

x = 0.454545...

100x = 45.454545...

100x - x = 45.454545... - 0.454545... = 45

100x - x = 99x = 45

x = 45/99 = 5/11

3 0
3 years ago
Which is the best definition of the radius of a circle​
lapo4ka [179]

Answer:

The radius is half of the diameter of the circle and it is measured from the center of the circle to the circumference of the circle.

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Please help me don't understand :(
qaws [65]

Answer:

I think it's the last one. Sorry if I'm wrong

8 0
3 years ago
Trina's Toy Company charges $0.85 per pound to ship toys.
S_A_V [24]
C= .85p Shipping 2 lbs is $1.80 C=.80p
4 0
3 years ago
What is the area of this polygon?<br><br><br><br> Enter your answer in the box.<br><br> units²
Gwar [14]

Answer:

  39 units²

Step-by-step explanation:

Quadrilateral VEDR has a width of 5 units and a height of 6 units, so an area of ...

  (5 units)(6 units) = 30 units²

Triangle MVR has a base (VR) of 6 units and a height (M to VR) of 3 units, so an area of ...

  (1/2)(6 units)(3 units) = 9 units²

Then the total area of the polygon MVEDR is ...

  30 units² +9 units² = 39 units²

4 0
3 years ago
Other questions:
  • 100 POINTS!!!!!!!!!!!!!!!!
    14·1 answer
  • Quadrilateral ABCD has vertices A(1, 0) B(5, 0) C (7, 2) D(3, 2). Use slope to prove that ABCD is a parallelogram. Show all of y
    11·1 answer
  • A system of equations is shown below: Equation A: 4c = d − 8 Equation B: c = 5d + 8 Which of the following steps should be perfo
    5·1 answer
  • Joy is thinking of a number. She says, "My number is 74 more than 2 thousands, 6 hundreds, 8 tens, and 4 ones." What is Joy's nu
    15·2 answers
  • a nunber is multiplied by 2. then that product is multiplied by 5. write to explain how you know what digit is in the ones place
    15·1 answer
  • George deposit is $750 into an account that earns 7% interest which is compounded two times per year how much money was George h
    9·1 answer
  • Do u ever just feel brain dead??? just me? ight cool <br><br> which is more a gram or kilogram??
    10·2 answers
  • Please help..........................
    14·1 answer
  • Let n be the product of the two smallest 3-digit prime numbers. Find the sum of the digits of n.
    10·1 answer
  • The volume of a sphere is 420.<br> What is the radius?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!