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OpenStudy (anonymous):
f(1) = 2 and f(2) = 3, f(n) = f(1) + f(2) + f(n - 1), for n > 2.
f(5) = ______
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OpenStudy (potatoes.ramu):
I got 5 + f(4)
OpenStudy (anonymous):
How'd you get your answer?
OpenStudy (potatoes.ramu):
Substitute n=5 in the equation f(n)=f(1) +f(2)+f(5-1)
OpenStudy (potatoes.ramu):
We already know what f(1) and f(2) are.. Is it right?
OpenStudy (anonymous):
Ohhh ok! I get it now! Thank you so much! :)
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OpenStudy (potatoes.ramu):
No problem!! :) Best of luck!!
hartnn (hartnn):
thats not correct, we can get a numerical answer for this
hartnn (hartnn):
start by finding f(3)
OpenStudy (anonymous):
How?
OpenStudy (potatoes.ramu):
Oh yeah! That's true!!
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OpenStudy (potatoes.ramu):
Substitute f(3) in the equation I showed you. where n=3.
hartnn (hartnn):
to get f(3), just replace every 'n' by 3
in
f(n) = f(1) + f(2) + f(n - 1)
OpenStudy (anonymous):
Ohhhh.
hartnn (hartnn):
so what u get f(3) as ?
OpenStudy (anonymous):
I got 5.. I don't think it's right...
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hartnn (hartnn):
how did u get 5 ?
hartnn (hartnn):
f(n) = f(1) + f(2) + f(n - 1)
f(3) = f(1)+f(2)+f(2)
you know all values on right
OpenStudy (anonymous):
f(3)= 2+3+3=8 and use this to find f(4) the same way as hartnn mentioned
f|(4)=f(1)+f(2)+f(3) and finally use it again to find f(5)
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