Posted by miki on Wednesday, July 4, 2012 at 10:09pm.
Given f(11)=11 and f(x+3) = (f(x)1)/(f(x)+1) for all x, find f(2000)

UMD  Calc1, Thursday, July 5, 2012 at 12:19am
Please don't do this. I will have to destroy your grade kiddo.
Turfe

CALC 1  Your friendly neighborhood classmate, Thursday, July 5, 2012 at 12:31am
Hey, thank me in class for doing your work for you :P
Look for the pattern
f(11) = 11
f(14) = (11  1)/(11 + 1) = 10/12 = 5/6
f(17) = (5/6  1)/(5/6 + 1) = (1/6) / (11/6) = 1/11
f(20) = (1/11  1)/(1/11 + 1) = 12/11 / (10/11) = 12/10 = 6/5
f(23) = (6/5  1)/(6/5 + 1) = 11/5 / (1/5) = 11
so it repeats every 12 numbers (23  11 = 12)
and since 2000 = 165 • 12 + 20, f(2000) will be the same as f(20) = 6/5
:P
Answer This Question
Related Questions
 Math  Given the formula Xc=1/6.28fC, find C if Xc =500 and f=2000. What are the...
 Physics  A 2000kg truck is raised 15 m in an elevator. What is the increase in...
 algebra  the revenues per share of stock y (in dollars) for california pizza ...
 Discrete Math  Is this correct? • Using the Principle of InclusionExclusion, ...
 math  Find the amount that schould be invested now to accumulate following ...
 Algebra  find a equation for the line containing the given points. Let x ...
 Networks, Matrices, Linear equations.  x y A(0.2 0.8)3000 B(0.5 0.5)2000 C(0.7...
 Algebra ?  Selling shirts. If a vendor charges p dollars each for rugby shirts...
 Algebra word problem  please help me with the following: The value of a ...
 algebra  In 2020 a city's budget is projected to be $24 million. ...
More Related Questions