show that 16' `If (1+x)^n`=`(C_o)x + (C_1)x +(C_2)x^2 +..... `prove that Co 2C1 3C2 (n 1)C (n...

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Prove that : (C_0+C_1)( C_1+C_2)( C_2+C_3)……….( C_(n-1)+C_n) = (C_0.C_1.C_2……C_(n-1) 〖(n+1)〗^n)/n! Prove that : (C_0+C_1)( C_1+C_2)( C_2+C_3)……….( C_(n-1)+C_n) = (C_0.C_1.C_2……C_(n-1) 〖(n+1)〗^n)/n!
If `(1+x)^n=c_0+C_1x+C_2x^2++C_n x^n `,using derivative prove that `C_1+2C_2++nC_n=n .2^(n-1)` ... If `(1+x)^n=c_0+C_1x+C_2x^2++C_n x^n `,using derivative prove that `C_1+2C_2++nC_n=n .2^(n-1)` ...
Prove that : C_0 + C_1/2 + C_2/3 + …… + C_n/(n+1) = (2^(n+1)-1)/(n+1) Prove that : C_0 + C_1/2 + C_2/3 + …… + C_n/(n+1) = (2^(n+1)-1)/(n+1)
NEB Grade 12 Binomial theorem - C_1+2C_2+3C_3+..........+nCn = n2^(n-1) NEB Grade 12 Binomial theorem - C_1+2C_2+3C_3+..........+nCn = n2^(n-1)
Prove that : C_0+3C_1+5C_2+…………..+(2n+1) C_n= (n+1) 2^n Prove that : C_0+3C_1+5C_2+…………..+(2n+1) C_n= (n+1) 2^n
Prove that : C_1/C_0 + 〖2C〗_2/C_1 + 〖3C〗_3/C_2 +……+ 〖nC〗_n/C_(n-1) = (n(n+1))/2 Prove that : C_1/C_0 + 〖2C〗_2/C_1 + 〖3C〗_3/C_2 +……+ 〖nC〗_n/C_(n-1) = (n(n+1))/2
Prove that : C_0 C_1+C_1 C_2+C_2 C_3+……..+C_(n-1) C_n= (2n)!/((n+1)!(n-1)!) Prove that : C_0 C_1+C_1 C_2+C_2 C_3+……..+C_(n-1) C_n= (2n)!/((n+1)!(n-1)!)
If (1 + x)^(n) = C_(0) + C_(1) x + C_(2) x^(2) + …+ C_(0) x^(n) , prove that (1*2) C_(2) + (2... If (1 + x)^(n) = C_(0) + C_(1) x + C_(2) x^(2) + …+ C_(0) x^(n) , prove that (1*2) C_(2) + (2...