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" Prove that "sum(r=0)^(n)3^(r)C(n)=4^(n...

" Prove that "sum_(r=0)^(n)3^(r)C_(n)=4^(n)

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Prove that sum_(r=0)^(n)3^(rn)C_(r)=4^(n)

prove that sum_(r=0)^(n)3^(r)nC_(r)=4^(n)

Prove that sum_(r=0)^(n)nC_(r)3^(r)=4^(n)

Prove that sum_(r=0)^(n) 3^( r" "n)C_(r ) =4^(n) .

Prove that sum_(r=0)^(n)r(n-r)C_(r)^(2)=n^(2)(^(2n-2)C_(n))

Prove that sum_(r=0)^(2n)(.^(2n)C_(r))^(2)=n^(4n)C_(2n)

Prove that sum_(r=0)^n3^r^n C_r=4^n .

Prove that sum_(r=0)^n 3^r "^nC_r= 4^n .

Prove that: sum_(r=0)^(n) 3^( r) ""^(n)C_(r) = 4^(n) .

Prove that sum_(r=0)^(2n)r(.^(2n)C_r)^2=n^(4n)C_(2n) .