11.a) Prove that: C1–2C2+3C3–...+n(–1)^(n–1).Cn=0 if (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. Class 12 Binomial

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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.c) Prove that: C0+3C1+5C2+...+(2n+1)Cn=(n+1)2ⁿ If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. Binomial Theorem !11.c) Prove that: C0+3C1+5C2+...+(2n+1)Cn=(n+1)2ⁿ If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. Binomial Theorem !
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)
Binomial Theorem Shortcut formulae | Binomial Theorem Class 11 | Arvind Kalia #shortsBinomial Theorem Shortcut formulae | Binomial Theorem Class 11 | Arvind Kalia #shorts
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_1+2C_2+3C_3+…….+nC_n= n.2^(n-1)Prove that : C_1+2C_2+3C_3+…….+nC_n= n.2^(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!
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).