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[" 6.If "f(n)=sum(i=1)^(n)[r(n.^(n-1)C(r...

[" 6.If "f(n)=sum_(i=1)^(n)[r(n.^(n-1)C_(r-1)-r.''C_(r-1))+(2r+1)^(n)C_(i)]" then "],[[" a) "f(n)=n^(2)-1," b) "f(n)=(n+1)^(2)-1" c) "sum_(n=1)^(10)f(n)=495," d) "sum_(n=1)^(10)f(n)=374]]

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f(n)=sum_(r=1)^(n)[r^(2)(*^(n)C_(r)-^(n)C_(r-1))+(2r+1)^(n)C_(r)] then f(30) is

f(n)=sum_(r=1)^(n) [r^(2)(""^(n)C_(r)-""^(n)C_(r-1))+(2r+1)(""^(n)C_(r ))] , then

f(n)=sum_(r=1)^(n) [r^(2)(""^(n)C_(r)-""^(n)C_(r-1))+(2r+1)(""^(n)C_(r ))] , then

f(n)=sum_(r=1)^(n) [r^(2)(""^(n)C_(r)-""^(n)C_(r-1))+(2r+1)(""^(n)C_(r ))] , then

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Let for n in N, f(n)=sum_(r=0)^(n)(-1)^(r)(C_(r)2^(r+1))/((r+1)(r+2))

sum_(r=1)^(n)(1)/((r+1)(r+2))*^(n+3)C_(r)=