Simplify `C_0^2+C_1^2/2+C_2^2/3+...+C_n^2/(n+1)`.

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`C_0^2-C_1^2+C_2^2-C_3^2+.....+(-1)^nC_n^2=` `C_0^2-C_1^2+C_2^2-C_3^2+.....+(-1)^nC_n^2=`
`(C_0)^2+ 2 (C_1)^2 + 3 (C_2)^2 + 4 (C_3)^2...+(n+1) (c_n)^2` `(C_0)^2+ 2 (C_1)^2 + 3 (C_2)^2 + 4 (C_3)^2...+(n+1) (c_n)^2`
If `(1+x)^n=C_0+C_1x+C_2x^2+...+C_nx^n` then the value of `(C_0)^2+(C_1)^2/2+(C_2)^2/3+...+(C_n... If `(1+x)^n=C_0+C_1x+C_2x^2+...+C_nx^n` then the value of `(C_0)^2+(C_1)^2/2+(C_2)^2/3+...+(C_n...
`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^(n+1)-1)/(n+1... `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^(n+1)-1)/(n+1...
Prove that `(^(2n)C_0)^2+(^(2n)C_1)^2+(^(2n)C_2)^2-+(^(2n)C_(2n))^2-(-1)^n^(2n)C_ndot` Prove that `(^(2n)C_0)^2+(^(2n)C_1)^2+(^(2n)C_2)^2-+(^(2n)C_(2n))^2-(-1)^n^(2n)C_ndot`
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!
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...
If (1 + x)^n = C_0+C_1x+C_2x^2 + ... + C_nx^n,then for n odd,C_0^2-C_1^2+C_2^2-C_3^2 + ... +(-1)... If (1 + x)^n = C_0+C_1x+C_2x^2 + ... + C_nx^n,then for n odd,C_0^2-C_1^2+C_2^2-C_3^2 + ... +(-1)...