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
kupik [55]
3 years ago
7

If f(1)=6f(1)=6 and f(n)=nf(n-1)-4f(n)=nf(n−1)−4 then find the value of f(3)f(3).

Mathematics
2 answers:
nekit [7.7K]3 years ago
8 0

Answer:6144

Step-by-step explanation:

If f(1)=6f(1)=6 and f(n)=4f(n-1)f(n)=4f(n−1) then find the value of f(6)f(6).

f(1)=

f(1)=

\,\,6

6

f(\color{darkgreen}{2})=

f(2)=

\,\,4f(\color{darkgreen}{2}-1)

4f(2−1)

=

=

\,\,4f(1)

4f(1)

=

=

\,\,4(6)

4(6)

Substitute f(1)=6

f(2)=

f(2)=

\,\,24

24

f(\color{darkgreen}{3})=

f(3)=

\,\,4f(\color{darkgreen}{3}-1)

4f(3−1)

=

=

\,\,4f(2)

4f(2)

=

=

\,\,4(24)

4(24)

Substitute f(2)=24

f(3)=

f(3)=

\,\,96

96

f(\color{darkgreen}{4})=

f(4)=

\,\,4f(\color{darkgreen}{4}-1)

4f(4−1)

=

=

\,\,4f(3)

4f(3)

=

=

\,\,4(96)

4(96)

Substitute f(3)=96

f(4)=

f(4)=

\,\,384

384

f(\color{darkgreen}{5})=

f(5)=

\,\,4f(\color{darkgreen}{5}-1)

4f(5−1)

=

=

\,\,4f(4)

4f(4)

=

=

\,\,4(384)

4(384)

Substitute f(4)=384

f(5)=

f(5)=

\,\,1536

1536

f(\color{darkgreen}{6})=

f(6)=

\,\,4f(\color{darkgreen}{6}-1)

4f(6−1)

=

=

\,\,4f(5)

4f(5)

=

=

\,\,4(1536)

4(1536)

Substitute f(5)=1536

f(6)=

f(6)=

\,\,6144

6144

\text{Geometric Sequence:}

Geometric Sequence:

Common ratio of 4

6,24,96,384,1536,6144, ...

6,24,96,384,1536,6144,...

\text{Final Answer:}

Final Answer:

6144

alekssr [168]3 years ago
6 0

Answer:

49

Step-by-step explanation:

You might be interested in
Please someone Help me 100 points
Sedaia [141]

Answer:

                     distance            rate          time

trip to park       24                   14               25

return              30                     27              25

the jogger's speed is  24          

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
How many times does 4 go into 56
Oduvanchick [21]
4 multiplied by 14 gives you 56 so its 14
7 0
3 years ago
Read 2 more answers
Which relation is not a function? Reporting wrong answers.
Aleks [24]

Answer:

C im pretty sure dont report me tho

Step-by-step explanation:

6 0
2 years ago
WHOEVER ANSWERS CORRECTLY WILL BE BRAINLIEST!
GREYUIT [131]

Answer:

A. (125.6 in)

Step-by-step explanation:

R = d / 2 = 40 / 2 = 20 in

Circumference is:

S = 2*π*R=2*3.14*20=125.6 in

4 0
3 years ago
Someone pls help me i do not understand !!
pantera1 [17]
Yea me ether did you ever find the answer
3 0
2 years ago
Other questions:
  • The s/n ration for a set of 50 measurements is 10. what number of measurements would make the s/n ratio 5
    11·1 answer
  • Circle O has a center at (-2, -2) and a diameter of 10 units. What point lies on circle O?
    13·1 answer
  • Write the greatest and smallest 4 digit number by using the digits 2,5,0,6​
    6·2 answers
  • Which is true?
    6·1 answer
  • How do you do this???
    8·1 answer
  • How many factors for 25
    8·2 answers
  • Expand and simplify 3(x - 2) + 2(4x - 1)
    10·1 answer
  • Hi, I need help please!! Given that x=3 and x=-4 are the solution of the equation x2+ax+b=0, find the value of a and of b. Answe
    9·2 answers
  • The temperature at 6 AM what is -12°F the temperature increased by 1/2°F each hour for six hours what is the temperature in degr
    13·1 answer
  • 10-8a=2(5-4a) please help
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!