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If f(1)=3 and f(n)=nf(n-1)+2 then find the value of f(3). Answer:

If f(1)=3 f(1)=3 and f(n)=nf(n−1)+2 f(n)=n f(n-1)+2 then find the value of f(3) f(3) .\newlineAnswer:

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Q. If f(1)=3 f(1)=3 and f(n)=nf(n−1)+2 f(n)=n f(n-1)+2 then find the value of f(3) f(3) .\newlineAnswer:
  1. Find f(2)f(2): To find f(3)f(3), we first need to find f(2)f(2) using the given recursive function f(n)=nf(n−1)+2f(n) = nf(n-1) + 2 and the initial condition f(1)=3f(1) = 3.
    f(2)=2f(1)+2f(2) = 2f(1) + 2
    f(2)=2(3)+2f(2) = 2(3) + 2
    f(2)=6+2f(2) = 6 + 2
    f(2)=8f(2) = 8
  2. Calculate f(3)f(3): Now that we have f(2)f(2), we can use it to find f(3)f(3) using the same recursive function.f(3)=3f(2)+2f(3) = 3f(2) + 2f(3)=3(8)+2f(3) = 3(8) + 2f(3)=24+2f(3) = 24 + 2f(3)=26f(3) = 26

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