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Question: how to find answer by using previous answer

Question: how to find answer by using previous answer

syahirah rahimi 15 Maple
syntax assignment
May 29 2023
0

 i’ve run the coding. The result is almost my expectation. However, why is the previous value not be substituted into the next one? As example, f4 should be submitted into f5 to evaluate its value

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restart:
> 

m := [80, 79, 83, 92, 74, 80, 87, 77, 103, 84, 87, 77, 88, 86, 83, 80, 79, 80, 93, 68, 106, 76, 103]

[80, 79, 83, 92, 74, 80, 87, 77, 103, 84, 87, 77, 88, 86, 83, 80, 79, 80, 93, 68, 106, 76, 103]

 (1)

 

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F := k -> `if`(
                k::even,
                2/3*m[k] + 2/3*f[k-1] - 1/3*f[k-2],
                2/11*f[k-3] - 9/11*f[k-2] + 12/11*f[k-1] + 6/11*m[k]
                ):
> 


f[2] := m[2];
f[3] := m[3];
for i from 4 to 23 do
  F(i):
end do;

79

  

83

  

271/3

  

-145/11+(12/11)*f[4]

  

160/3+(2/3)*f[5]-(1/3)*f[4]

  

(2/11)*f[4]-(9/11)*f[5]+(12/11)*f[6]+522/11

  

154/3+(2/3)*f[7]-(1/3)*f[6]

  

(2/11)*f[6]-(9/11)*f[7]+(12/11)*f[8]+618/11

  

56+(2/3)*f[9]-(1/3)*f[8]

  

(2/11)*f[8]-(9/11)*f[9]+(12/11)*f[10]+522/11

  

154/3+(2/3)*f[11]-(1/3)*f[10]

  

(2/11)*f[10]-(9/11)*f[11]+(12/11)*f[12]+48

  

172/3+(2/3)*f[13]-(1/3)*f[12]

  

(2/11)*f[12]-(9/11)*f[13]+(12/11)*f[14]+498/11

  

160/3+(2/3)*f[15]-(1/3)*f[14]

  

(2/11)*f[14]-(9/11)*f[15]+(12/11)*f[16]+474/11

  

160/3+(2/3)*f[17]-(1/3)*f[16]

  

(2/11)*f[16]-(9/11)*f[17]+(12/11)*f[18]+558/11

  

136/3+(2/3)*f[19]-(1/3)*f[18]

  

(2/11)*f[18]-(9/11)*f[19]+(12/11)*f[20]+636/11

  

152/3+(2/3)*f[21]-(1/3)*f[20]

  

(2/11)*f[20]-(9/11)*f[21]+(12/11)*f[22]+618/11

 (2)
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