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
taurus [48]
1 year ago
14

A sequence is defined by the recursive function f(n + 1) =1/3 f(n). if f(3) 9= , what is f(1)

Mathematics
1 answer:
gayaneshka [121]1 year ago
5 0

Answer:

f(1) = 81

Step-by-step explanation:

f(n + 1) = 1/3 f(n)

⇔ f(n) = 3 × f(n + 1)

……………………………

if f(3) = 9  ⇒  f(2) = 3 × f(3) = 3 × 9 = 27

Then

f(1) = 3 × f(2) = 3 × 27 = 81

You might be interested in
Find the tenth term of the geometric sequence, given the first term and common ratio.
Natalija [7]

Answer:

a_{10}=\dfrac{1}{128}

Step-by-step explanation:

In the geometric series:

a_1=4\\ \\r=\dfrac{1}{2}

The nth term of the geometric sequence can be calculated using formula

a_n=a_1\cdot r^{n-1}

In your case, n = 10, then

a_{10}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^{10-1}\\ \\=4\cdot \left(\dfrac{1}{2}\right)^9\\ \\=2^2\cdot \dfrac{1}{2^9}\\ \\=\dfrac{1}{2^{9-2}}\\ \\=\dfrac{1}{2^7}\\ \\=\dfrac{1}{128}

8 0
2 years ago
Find The distance between the pair of points <br><br><br> G(0, - 5) and H(0, - 10
Kobotan [32]

Answer:

5  

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
A lawyer has an annual income of $240,000. The income tax that doctor has to pay is 6%. What is the amount of income tax in doll
ZanzabumX [31]

Answer:

Step-by-step explanation:

240,000*6=14,400 dollars

the dr has to be taxes 14,400 dollars

4 0
3 years ago
Give the final price for a $58.75 purchase when a 15% discount is applied.
AfilCa [17]

Answer:

D

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Evaluate f(3) for the piecewise function: f(x) = Which value represents f(3)? –11 8 12.5 16
Nonamiya [84]
Hello!

-3x-2=-3(3)-2=-9-2= -11
Therefore, The Correct Answer would be 100%:

"-11", Option "A".

I Hope my answer has come to your Help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead! :)
9 0
3 years ago
Read 2 more answers
Other questions:
  • What is the answer PLEASEE
    12·1 answer
  • Mel drove 230 miles in 4 hours an pia drove 230 miles in 5 hours who drove faster?
    12·1 answer
  • Mary's ready to start on her green bean casserole! The recipe calls for many different herbs. Which one would she probably NOT u
    10·2 answers
  • Absolute cable company bills on a monthly basis. Each bill includes $30.00 service fee plus $4.75 in taxes and $2.99 for each mo
    5·1 answer
  • 2 miles= 2000 feet true or false
    8·2 answers
  • Please help! I'd appreciate it !
    10·1 answer
  • Look at the pic plsssssss
    11·1 answer
  • PLEASE HELPPLEASEEEEEE
    9·1 answer
  • 7. Estimote the following percentages of 60.<br> 10% =<br> 25% =<br> 50% =<br> 20% =
    5·2 answers
  • Need help on this please
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!