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Composite Funtion:

Find the first four iterations of each function, given the initial value.
f(1)=2, f(n)=3f(n-1)

I dont understand:
f(1)=3f(?-1)

I need to find what zero is first right? If so, how do I find zero?

2007-01-09 11:40:56 · 6 answers · asked by Anonymous in Science & Mathematics Mathematics

Thank you all that helped so much! I definitely understand it now.

2007-01-09 12:00:37 · update #1

6 answers

go to www.cosmeo.com. it is a real help.

2007-01-09 11:45:02 · answer #1 · answered by Will 3 · 0 0

If f(1) = 2, then f(2) = 3 f(1) = 6, and f(3) = 3 f(2) = 18. It is evident that f(n) = 2(3)^(n-1). This has no zeroes for any real n.

2007-01-09 19:48:02 · answer #2 · answered by Anonymous · 0 0

f(1) = 2
f(n) = 3f(n-1)
if n =2, then f(2) = 3f(2-1) = 3f(1) = 3(2) = 6
if n=3 then f(3) = 3f(3-1) = 3f(2) = 3(6) = 18
if n=4 then f(4) = 3f(4-1) = 3f(3) = 3(18) = 52
This should be the answer

2007-01-09 19:49:35 · answer #3 · answered by kellenraid 6 · 0 0

f(1) = 2

given f(n) = 3f(n-1)

So let n = 2

f(2) = 3f(2-1) = 3f(1) = 3 * 2 = 6

all you need is to find f(2), f(3), f(4), f(5). Don't worry about f(0) because it is not even defined.

2007-01-09 19:46:54 · answer #4 · answered by The Answerer 3 · 0 0

f(2)= 3*f(1)= 3*2=6
f(3)= 3*f(2)= 3*6=18
f(4)= 54

2007-01-09 19:46:35 · answer #5 · answered by ENA 2 · 0 0

im cant get this eather!!!

2007-01-09 19:44:55 · answer #6 · answered by britts 2 · 0 1

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