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Suppose f(n+1)/f(n)= n for all positive integers of n. If f (1)=1, find the numerical value of f(6).

How do i figure out this?

  • Math -

    f(n+1)/f(n)= n
    f(n+1)=n*f(n)
    Start with f(1)=1
    Then for n=1
    f(2)=f(1+1)=1*f(1)=1
    f(3)=f(2+1)=2*f(2)=2*1=2
    f(4)=f(3+1)=3*f(3)=3*2=6
    f(5)=f(4+1)=4*f(4)=4*6=24
    f(6)=....
    Can you complete this?

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