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If f(1)=9 and f(n)=nf(n-1)-2 then find the value of f(5). Answer:

If f(1)=9 f(1)=9 and f(n)=nf(n−1)−2 f(n)=n f(n-1)-2 then find the value of f(5) f(5) .\newlineAnswer:

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Q. If f(1)=9 f(1)=9 and f(n)=nf(n−1)−2 f(n)=n f(n-1)-2 then find the value of f(5) f(5) .\newlineAnswer:
  1. Given f(1)f(1): We are given f(1)=9f(1) = 9 and the recursive formula f(n)=nf(n−1)−2f(n) = nf(n-1) - 2. To find f(5)f(5), we need to find the values of f(2)f(2), f(3)f(3), and f(4)f(4) first, using the recursive formula.
  2. Find f(2)f(2): Let's find f(2)f(2) using the formula:\newlinef(2)=2f(1)−2=2(9)−2=18−2=16f(2) = 2f(1) - 2 = 2(9) - 2 = 18 - 2 = 16.
  3. Find f(3)f(3): Next, we find f(3)f(3) using the value of f(2)f(2):f(3)=3f(2)−2=3(16)−2=48−2=46f(3) = 3f(2) - 2 = 3(16) - 2 = 48 - 2 = 46.
  4. Find f(4)f(4): Now, we find f(4)f(4) using the value of f(3)f(3):f(4)=4f(3)−2=4(46)−2=184−2=182f(4) = 4f(3) - 2 = 4(46) - 2 = 184 - 2 = 182.
  5. Find f(5)f(5): Finally, we find f(5)f(5) using the value of f(4)f(4):f(5)=5f(4)−2=5(182)−2=910−2=908f(5) = 5f(4) - 2 = 5(182) - 2 = 910 - 2 = 908.

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