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
Kevin has $25. MP3 downloads cost $0.75 each. How many songs can he still download and still have $13 left to spend?
kvasek [131]
The answer is 16 songs
3 0
3 years ago
Read 2 more answers
Find the simple interest earned after 5 years on $1200 invested at 2% annual interest rate
makkiz [27]
Multiply principle by time by rate
1200(.02)(5)
120
8 0
3 years ago
36 divided by 2^2 - 4 * 2 = 36 divided by ___ -4 *2<br> = ___ -4 * 2 <br> = ___ -8 <br> = ___
cricket20 [7]
2^2=4 so divid 36/4 is 9 and 4*2=8 now subtract 9-8=1 next 36/1 = 36 same on top is 8 now 36-8=28. 28 - 8 is 20 then 20-8= 12 answer is 12
6 0
3 years ago
Read 2 more answers
PLSSSSS HELP AS SOON AS POSSIBLE &lt;3 Perform the Indicated operation.
blagie [28]

Answer:

3/8

Step-by-step explanation:

6/8 - 3/8 = 3/8

You will get this answer if you type it in a calculator.

6 0
3 years ago
In a graphing program, graph the following 4 functions in the same coordinate plane.
9966 [12]

See below for the changes when the exponential function is transformed

<h3>How to determine the effect of a</h3>

The exponential functions are given as:

y = \sqrt x

y = 5\sqrt x

y = 14\sqrt{x

y = -2\sqrt{x

An exponential function of the above form is represented as:

y = a\sqrt{x

See attachment for the graph of the four functions.

<u>When a is large</u>

This is represented by y = 14\sqrt{x

In this case, the curve of the base form y = \sqrt x is vertically stretched and it moves closer to the y-axis

<u>When a is small</u>

This is represented by y = 5\sqrt x

In this case, the curve of the base form y = \sqrt x is vertically stretched and it moves away from the x-axis

<u>When a is negative</u>

This is represented by y = -2\sqrt{x

In this case, the curve of the base form y = \sqrt x is vertically stretched and is reflected across the y-axis.

Read more about function transformation at:

brainly.com/question/26896273

#SPJ1

5 0
2 years ago
Other questions:
  • What are the coordinates of the point on the directed line segment from (4, -3)(4,−3) to (9, -8)(9,−8) that partitions the segme
    13·1 answer
  • I would like to know what 1320 divided by 66 is
    10·1 answer
  • Band students at Lowell High School sell candy every year as a fundraiser. Last year, they sold 90 boxes of truffles and 77 boxe
    11·1 answer
  • Please show steps. explantion would be good too
    6·2 answers
  • Write an expression for the sequence of operations described below.
    7·1 answer
  • Somebody plz help on this real quick
    13·1 answer
  • 1.Simplify 5 to the 5th over 5 to the 8th.
    5·2 answers
  • Y=3x-4;y=4+x substitution
    12·2 answers
  • Root of 2x plus 1/3 square
    7·1 answer
  • What is the value of X?
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!