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
kakasveta [241]
3 years ago
8

Represent the geometric series using the explicit formula.

Mathematics
1 answer:
Dennis_Churaev [7]3 years ago
7 0

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Further explanation:

Given sequence is:

3, -6, 12, -24, ...

We have to find the common ratio first.

Common ratio is the ratio between two consecutive terms of a geometric sequence.

It is denoted by r.

So,

Here,\\a_1=3\\a_2=-6\\a_3=12\\a_4=-24\\r=\frac{a_2}{a_1}=\frac{-6}{3}=-2\\\frac{a_3}{a_2}=\frac{12}{-6}=-2

General formula for geometric sequence is:

a_n=a_1r^{n-1}\\Here\\a_n\ is\ the\ nth\ term\\a_1\ is\ the\ first\ term\\and\\r\ is\ common\ ratio

Putting the values of a1 and r

a_n=3.(-2)^{n-1}\\f(n)=3.(-2)^{n-1}

Hence,

The correct answer is:

b.) f(n) = 3 • (-2)^(n-1)

Keywords: Geometric Sequence, Explicit formula

Learn more about geometric sequence at:

  • brainly.com/question/2048256
  • brainly.com/question/2115122

#LearnwithBrainly

You might be interested in
Which number represents water becoming
xenn [34]

Answer:

1

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The following data was collected from the manufacturing of an auto component. It represents the diameter (in mm) of that compone
kari74 [83]

Answer:

14.6

Step-by-step explanation:

(A). STEP ONE: Calculate the mean

(1). Row one = (10 + 12 + 12 + 14 ) = 48/4 = 12.

(2). Row Two: (12 + 11 + 13 + 16 ) = 52/4 = 13.

(3). Row three : (11 + 13 + 14 + 14)/4 = 13.

(4). Row four: (11 + 10 + 7 + 8)/4 = 36/4 = 9.

(5). Row five: (13 +12 + 14 + 13)/4 = 52/4 = 13.

(B). STEP TWO:

- determine the maximum and minimum value for each row.

- for each row, maximum - minimum.

Maximum values for each row:

Row one = 14, row two= 16, row three = 14, row four = 11 and row five = 14.

Minimum value for each row:

Row one = 10, row two = 11, row three = 11, row four =7 and row five = 12.

DIFFERENCES in each row :

row one = 14 - 10 = 4, row two = 16 - 11 = 5, row three = 14 - 11 = 3, row four = 11 - 7 = 4 and row five = 14 -12 = 2.

(C). STEP THREE: Calculate the mean of all the rows = 60/5 = 12.

(D). STEP FOUR : Calculate the Average Range = 18/5 = 3.6.

(E). STEP FIVE : Calculate the UCL.

A = Average rage × 0.729 = 3.6 × 0.729.

B = overall mean = 12.

UCL = A + B = 14.6.

7 0
3 years ago
In which quadrant is the orderd pair (2,-5)​
OverLord2011 [107]

Answer:

4

(+, -) coordinates

4 0
2 years ago
Which expression is equivalent to 8(u + 3)?
Korolek [52]

Answer:

<h2>8(u + 3) = 8u + 24</h2>

Step-by-step explanation:

8(u+3)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(8)(u)+(8)(3)=8u+24

5 0
2 years ago
Line that is parallel to y=2x−4 and passes through the point (1,1).
natulia [17]

Answer:

2x-6

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Other questions:
  • The directions: Write an equation in point-slope form of the line that passes through the given point and has the given slope m.
    10·1 answer
  • 3. what is the simplified form of x+4/7 - x+3/x+5
    12·1 answer
  • Plot the x-intercept(s), y-intercept, vertex, and axis of symmetry for the function below.
    7·2 answers
  • Maya can run 18 miles in 3 hours, and she can bike 18 miles in 2 hours. When Maya biked for 3 hours and then ran for 1 hour and
    10·1 answer
  • 486 is what percent of 900
    12·1 answer
  • Two cars left the city for a suburb, 120 km away, at the same time. The speed of one of the cars was 20 km/hour greater than the
    8·1 answer
  • NEED HELP ASAP. I don not understand why I'm wrong. What is the right answer???
    8·2 answers
  • Calculate the perimeter of a rectangle that is 6 cm x 3 cm
    9·1 answer
  • Explain why it is almost impossible to end inflation and high unemployment at the same time PLEASE HELP ME I'M FALLING IN SOCIAL
    15·1 answer
  • Hey guys I need some help with this question so if anyone could help that would be great THANK YOU!!
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!