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If f is a function satisfying f(x+y)=f(x...

If `f` is a function satisfying `f(x+y)=f(x)xxf(y)` for all `x ,y in N` such that `f(1)=3` and `sum_(x=1)^nf(x)=120 ,` find the value of `n` .

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Knowledge Check

  • Let f be a real valued function satisfying f(x+y)=f(x)f(y) for all x, y in R such that f(1)=2 . Then , sum_(k=1)^(n) f(k)=

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    `2^(n)-1)`
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    `(n(n+1))/(2)`
    B
    `n(n+1))`
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    `(n+1)`
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    `n`

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