`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...

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`(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`
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 (a) C_1/C_0+2 C_2/C_1+3 C_3/C_2+……+nC_n/C_n-1=n(n+1)/2 PV (b) C_0+C_1/2+C_2/3+……+C_n/n... Prove that (a) C_1/C_0+2 C_2/C_1+3 C_3/C_2+……+nC_n/C_n-1=n(n+1)/2 PV (b) C_0+C_1/2+C_2/3+……+C_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)
If `n gt= 2` then `3. C_1-4. C_2+5. C_3-...........+1)^(n-1)(n+2)*C_n=` If `n gt= 2` then `3. C_1-4. C_2+5. C_3-...........+1)^(n-1)(n+2)*C_n=`
The sum to `(n+1)` terms of the series `C_0/2-C_1/3+C_2/4-C_3/5+......=` The sum to `(n+1)` terms of the series `C_0/2-C_1/3+C_2/4-C_3/5+......=`
If `(1+x)^n = C_0 + C_1 x + C_2 x^2+ C_3 x^2 +C_4 x^4..+ C_n x^n, ngeq0` prove that `C_0 - 2^2 If `(1+x)^n = C_0 + C_1 x + C_2 x^2+ C_3 x^2 +C_4 x^4..+ C_n x^n, ngeq0` prove that `C_0 - 2^2
`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)`