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. NEB

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11.a) Prove that: C1–2C2+3C3–...+n(–1)^(n–1).Cn=0 if (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. Class 12 Binomial 11.a) Prove that: C1–2C2+3C3–...+n(–1)^(n–1).Cn=0 if (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. Class 12 Binomial
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 !
C1/C0 + 2C2/C1 + 3C3/C2 + ... + nCn/Cn-1 = n(n+1)/2 C1/C0 + 2C2/C1 + 3C3/C2 + ... + nCn/Cn-1 = n(n+1)/2
if (1+x)^n = C0+C1x+C2x^2+..... +Cnx^n , then prove that C1-2C2+3C3..... +(-1)^(n-1)nCn = 0. if (1+x)^n = C0+C1x+C2x^2+..... +Cnx^n , then prove that C1-2C2+3C3..... +(-1)^(n-1)nCn = 0.
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_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) = (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!
if (1+x)^n = C0+C1x+C2x^2+..... +Cnx^n , then prove that (n+2) 2^(n-1) = C0+2C1+3C2+..... +(n+1)Cn. if (1+x)^n = C0+C1x+C2x^2+..... +Cnx^n , then prove that (n+2) 2^(n-1) = C0+2C1+3C2+..... +(n+1)Cn.