If f(1) = 2 and f(n) = nf(n-1)+4 then find the value of f(4)

Discussion in 'Calculator Requests' started by math_celebrity, Jun 18, 2019.

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  1. math_celebrity

    math_celebrity Administrator Staff Member

    If f(1) = 2 and f(n) = nf(n-1)+4 then find the value of f(4)

    Find f(2)
    f(2) = 2*f(2 - 1) + 4
    f(2) = 2*f(1) + 4
    f(2) = 2*2 + 4
    f(2) = 4 + 4
    f(2) = 8

    Find f(3)
    f(3) = 2*f(3 - 1) + 4
    f(3) = 2*f(2) + 4
    f(3) = 2*8+ 4
    f(3) = 16 + 4
    f(3) = 20

    Find f(4)
    f(4) = 2*f(4 - 1) + 4
    f(4) = 2*f(3) + 4
    f(4) = 2*20+ 4
    f(4) = 40 + 4
    f(3) = 44
     
    math_celebrity, Jun 18, 2019
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