`(C_0)^2+ 2 (C_1)^2 + 3 (C_2)^2 + 4 (C_3)^2...+(n+1) (c_n)^2`

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Prove that : 2. C_0 + (2^2 〖.C〗_1)/2 + (2^3 〖.C〗_2)/3 + (2^4.C_3)/4 + …… + (2^(n+1).C_n)/(n+1) = (3^ Prove that : 2. C_0 + (2^2 〖.C〗_1)/2 + (2^3 〖.C〗_2)/3 + (2^4.C_3)/4 + …… + (2^(n+1).C_n)/(n+1) = (3^
prove that : 〖C_0〗^2 + 〖C_1〗^2 +〖C_2〗^2+………+〖C_n〗^2 = (2n)!/n!n! prove that : 〖C_0〗^2 + 〖C_1〗^2 +〖C_2〗^2+………+〖C_n〗^2 = (2n)!/n!n!
Prove that : 1.〖C_0〗^2 + 3. 〖C_1〗^2 + 5. 〖C_2〗^2 + …… + (2n+1). 〖C_n〗^2 = (n+1)(2n)!/n!n! Prove that : 1.〖C_0〗^2 + 3. 〖C_1〗^2 + 5. 〖C_2〗^2 + …… + (2n+1). 〖C_n〗^2 = (n+1)(2n)!/n!n!
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)
`e_0+C/2+(C_2)/3++(C_n)/(n+1)=(2^(n+1)-1)/(n+1)` `e_0+C/2+(C_2)/3++(C_n)/(n+1)=(2^(n+1)-1)/(n+1)`
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
`C_0/(1.2)+C_1/(2.3)+C_2/(3.4)+........C_n/((n+1)(n+ 2))=` `C_0/(1.2)+C_1/(2.3)+C_2/(3.4)+........C_n/((n+1)(n+ 2))=`
2C_0 + 2^2 (C_1)/(2) + 2^3 (C_2)/(3) + ………. + 2^(n+1) (C_n)/(n+1) = (3^(n+1) - 1)/(n+1) | CLAS... 2C_0 + 2^2 (C_1)/(2) + 2^3 (C_2)/(3) + ………. + 2^(n+1) (C_n)/(n+1) = (3^(n+1) - 1)/(n+1) | CLAS...