If f(1)=5 and f(n)=nf(n-1)-1 then find the value of f(3)

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HiMyNameIsBrianna HiMyNameIsBrianna

03-03-2019
Mathematics

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If f(1)=5 and f(n)=nf(n-1)-1 then find the value of f(3)

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Kamikazeminem Kamikazeminem · Answer 1 · 2019-03-03T19:33:36+01:00

Kamikazeminem Kamikazeminem

03-03-2019

[tex]Answer: \\f(n) = nf(n - 1) - 1 \\ \Rightarrow f(2) = 2f(1) - 1 \\ \Leftrightarrow f(2) = 2 \times 5 - 1 = 10 - 1 = 9 \\\Rightarrow f(3) = 3f(2) - 1 = 3 \times 9 - 1 = 27 - 1 = 26[/tex]

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