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Loser66
 one year ago
Best ResponseYou've already chosen the best response.0My question on it is: No matter what the method I use, the answers must be the same, right? method 1) directly substitute f(n1), f(n2) to find f(n), we get d is the final answer.

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0for the first question.

geerky42
 one year ago
Best ResponseYou've already chosen the best response.0Well, clearly if answer is not same, then you are incorrectly using method. :P

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0How about this: f(n) = 4f(n1) 3f(n2) We can go backward like f(n+2) = 4 f(n+1) 3f(n)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0that give us the characteristic equation for recursive formula is: r^2 +4r+3 =0, \(r_1= 3 \) \(r_2= 1\) Hence the general solution for it is \(f(n) = C_1 (3)^n +C_2(1)^n\)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0f(0) = 5, hence 5 = C1 + C2 f(1) = 20 , hece 20 = 3C1C2 solve them, it gives me C1 = 15/2 C2 = 5/2

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0yes d is correct .... .. \[\rm f(2) = 4•f(2 1)  3•f(2  2) \]\[\rm f(2) = 4•f(1)  3•f(0) \] =65 :)???

geerky42
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha Loser66 is more of looking for a way to find explicit formula.

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0oh, I know my mistake. hihihi. it works well just the way I count f(3) is f(2) in the sequence. hehehe.. Thanks you all.

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0@Nnesha my goal is to apply my knowledge in Discrete Math to put it in logic

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0\(f(n) = \dfrac{5}{2}(1)^n\dfrac{15}{2} (3)^n\) f(2) , that is n = 2 , \(f(2) = \dfrac{5}{2} \dfrac{15}{2}*9= 65\) f(3) , that is n =3 , \(f(3) = \dfrac{5}{2}(1)^3 \dfrac{15}{2}(3)^3=200\)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0the first term is f(0) , next is f(1),

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0That was my mistake. hehehe...

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0gO_OD job! @Loser66 ;)

Loser66
 one year ago
Best ResponseYou've already chosen the best response.0haaaaaaaaaaaaaahahaha... thank you for the tough flower. @Nnesha

Nnesha
 one year ago
Best ResponseYou've already chosen the best response.0flower or chocolates ? Yw
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