Prove that : C_0 - C_1/2 + C_2/3- …… + 〖(-1)〗^n C_n/(n+1) = 1/(n+1)

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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)`
Show that C0 + C1 / 2 + C2 / 3 + ... + Cn / (n+1) = { [2 raised to power n+1] - 1 } / (n+1). Show that C0 + C1 / 2 + C2 / 3 + ... + Cn / (n+1) = { [2 raised to power n+1] - 1 } / (n+1).
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!
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)!)
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_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
Math Marvels: Binomial series: C1-(1+1/2)C2+(1+1/2+1/3)C3-...(1+1/2+1/3+..1/n)Cn=1/n Math Marvels: Binomial series: C1-(1+1/2)C2+(1+1/2+1/3)C3-...(1+1/2+1/3+..1/n)Cn=1/n