OlindaU368727 OlindaU368727
  • 28-10-2022
  • Mathematics
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Iff (1) = 7and f(n) = - 2f(n - 1) - 1 then find the value of f(5).

Iff 1 7and fn 2fn 1 1 then find the value of f5 class=

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RoiL444475 RoiL444475
  • 28-10-2022
[tex]\begin{gathered} f(2)=-2\cdot f(2-1)-1=-2\cdot f(1)-1=-2\cdot7-1=-14-1=-15 \\ f(3)=-2\cdot f(3-1)-1=-2\cdot f(2)-1=-2\cdot(-15)-1=30-1=29 \\ f(4)=-2\cdot f(4-1)-1=-2\cdot f(3)-1=-2\cdot(29)-1=-58-1=-59 \\ f(5)=-2\cdot f(5-1)-1=-2\cdot f(4)-1=-2\cdot(-59)-1=118-1=117 \end{gathered}[/tex]

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