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If f(1)=7 and f(n)=nf(n-1)+4 then find the value of f(3). Answer:

If f(1)=7 f(1)=7 and f(n)=nf(n−1)+4 f(n)=n f(n-1)+4 then find the value of f(3) f(3) .\newlineAnswer:

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Q. If f(1)=7 f(1)=7 and f(n)=nf(n−1)+4 f(n)=n f(n-1)+4 then find the value of f(3) f(3) .\newlineAnswer:
  1. Calculate f(2)f(2): We are given that f(1)=7f(1) = 7. To find f(3)f(3), we need to first find f(2)f(2) using the recursive formula f(n)=nf(n−1)+4f(n) = nf(n-1) + 4. Let's calculate f(2)f(2): f(2)=2f(2−1)+4f(2) = 2f(2-1) + 4 f(2)=2f(1)+4f(2) = 2f(1) + 4 f(2)=2(7)+4f(2) = 2(7) + 4 f(2)=14+4f(2) = 14 + 4 f(1)=7f(1) = 700
  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 formula.\newlineLet's calculate f(3)f(3):\newlinef(3)=3f(3−1)+4f(3) = 3f(3-1) + 4\newlinef(3)=3f(2)+4f(3) = 3f(2) + 4\newlinef(3)=3(18)+4f(3) = 3(18) + 4\newlinef(3)=54+4f(3) = 54 + 4\newlinef(3)=58f(3) = 58

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