If `(1+x)^n=C_0+C_1x+C2x2++C_n x^n ,t h e nC_0-(C_0+C_1+)(C_0+C_1+C_2)-(C_0+C_1+C_2+C_3)+(-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)
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)!)
Prove that : C_0 - C_1/2 + C_2/3- …… + 〖(-1)〗^n C_n/(n+1) = 1/(n+1)Prove that : C_0 - C_1/2 + C_2/3- …… + 〖(-1)〗^n C_n/(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)
11.h) Prove that: C0C1+C1C2+C2C3+...+Cn-1Cn=(2n)!/(n+1)!(n-1)! If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ NEB 1211.h) Prove that: C0C1+C1C2+C2C3+...+Cn-1Cn=(2n)!/(n+1)!(n-1)! If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ NEB 12
11.e) Prove that: C1/C0 + 2C2/C1 + 3C3/C2 +...+nCn/Cn-1=n(n+1)/2 If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. NEB11.e) Prove that: C1/C0 + 2C2/C1 + 3C3/C2 +...+nCn/Cn-1=n(n+1)/2 If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. NEB
11.b) Prove that: C0+2C1+3C2+...+(n+1)Cn=(n+2).2^(n-1) If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. Binomial NEB11.b) Prove that: C0+2C1+3C2+...+(n+1)Cn=(n+2).2^(n-1) If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. Binomial NEB
Show that (C0+C1)(C1+C2) ... (Cn-1 + Cn) = C1*C2 ... Cn*[(n+1) raised to power n] / n!Show that (C0+C1)(C1+C2) ... (Cn-1 + Cn) = C1*C2 ... Cn*[(n+1) raised to power n] / n!