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
Lorico [155]
3 years ago
9

What is the explicit rule for this geometric sequence? 2, 6, 18, 54, …

Mathematics
1 answer:
Alex787 [66]3 years ago
6 0

Answer:

A term at position n can be expressed as \[2*3^{n-1}\]

Step-by-step explanation:

The given geometric sequence is 2, 6, 18, 54, …

Starting term = 2

Second term = 6

So second term is 3 times the first term.

Similarly, Third term = 18

This is 3 times the second term, that is , 3 * 6

Fourth term is is 54.

This is 3 times the third term, that is , 3 * 18

Generalizing, a term in the sequence can be expressed as \[2*3^{n-1}\]

where n represents the position of the term in the sequence.

You might be interested in
5.1.2 Exam: Semester 2 Exam
Nikolay [14]

Answer:

See attached picture to view the graph

Step-by-step explanation:

Start by analyzing how this average idea works:

If only one member goes to the trip, it will cost him/her $1000+$200 = $1200.

If two members go to the trip, then they will share the cost as per the following: ($1000+ $200 + $200 = $1400) which they will be dividing into two people, thus costing each of them $700.

Notice that the general function that represents such average will be given by: f(x) = \frac{1000+200x}{x}

Plot such function in the two dimensional plane, and you will get the asymptotic behavior shown in the attached image.

8 0
3 years ago
A town's population is 14,280, and it is increasing by 160 people every year. A nearby town has a population of 24,000, and it i
fgiga [73]

Answer:

27 years

Step-by-step explanation:

Given that :

Town A:

Initial population = 14280

Rate = increase by 160 per year

Let t = time in years

Population is thus :

14280 + 160t - - - (1)

Town B:

Initial population = 24000

Rate = decrease by 200 per year

P = 24000 - 200t - - - (2)

Equate both equations :

14280 + 160t = 24000 - 200t

160t + 200t = 24000 - 14280

360t = 9720

t = 9720 / 360

t = 27

In 27 years

7 0
3 years ago
23 points to whoever can answer this question !!
Tamiku [17]

-2 2/5

as an improper fraction

-(5*2 +2)/5 -12/5

-12 divided by 5


3 0
3 years ago
Which expression can be used to model the phrase “ the sum of three and a number”?
olga nikolaevna [1]

Answer:

x + 3

Step-by-step explanation:

A 'sum' means addition, 'a number' is represented by a variable, in this case, I chose 'x'.  I could have picked any variable I wanted.

The sum of three and a number means:  three plus some number, which is

 3 + x       in math language.     We write variables before constants, so it gets

                  rewritten as x + 3

5 0
4 years ago
Read 2 more answers
A game show has a contestant pick one of five doors to reveal the prize the contestant wins. A photo of a new boat is behind one
kumpel [21]

Hi,

It is unlikely that the game show contestant will win the boat.

To be exact it is 20% chance that the game show contestant will win the boat.

XD

7 0
2 years ago
Other questions:
  • You own 6 hats and are taking 4 on vacation. In how many ways can you choose 4 hats from the 6?
    10·2 answers
  • Two datasets arranged in descending order are: {8, x, 4,1) and (9. y, 5,2). If the medians of
    12·2 answers
  • A rectangular solid has sides of 7 cm + 9 cm + 11 cm what<br> is its surface area
    6·2 answers
  • Help with math homework pls! NO WRONG ANSWERS!!!
    13·1 answer
  • What is the justification for each step in the solution of the equation?
    6·1 answer
  • Brendon Walsh wants to borrow $40,000 from the bank. The interest rate is 6% and the term is for 5 years. What is the yearly pay
    6·1 answer
  • Find the missing side round your answer to the nearest tenth
    6·1 answer
  • The question that is asked
    12·1 answer
  • given the points A(0,0) and B(8,4), show that P(2,6) is on the perpendicular bisector of the segment AB.
    14·1 answer
  • List the following rational numbers in order from least to greatest.<br><br>5/4, 56%, 1.07, 4/5​
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!