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	Simplify `C 0^2+C 1^2/2+C 2^2/3+...+C n^2/(n+1)`. (Doubtnut) View
	Prove that Co+C1+C2+...+Cn=2^n and that Co+2C1+3C2+... +(n+1) Cn= 2^n + n 2^(n-1) - Binomial expand (Calculus Physics Chem Accounting Tam Mai Thanh Cao) View
	Binomial theorem: Additional questions 1: C0^2-2C1^2+3C2^2-4C3^2+..+(-1)^n(n+1)Cn^2= (Mathsmerizing) View
	2C 0 + 2^2 (C 1)/(2) + 2^3 (C 2)/(3) + ………. + 2^(n+1) (C n)/(n+1) = (3^(n+1) - 1)/(n+1) \| CLAS... (Doubtnut) View
	Show that C{0}C{r} + C{1}C{r+1} + C{2}C{r+2} + ... + C{n-r}C{n} = (2n)! / [(n-r)! (n+r)!]. (mathmuni) View
	11.a) Prove that: C1–2C2+3C3–...+n(–1)^(n–1).Cn=0 if (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ. Class 12 Binomial (Simply Australia Things) View
	`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... (Doubtnut) View
	11.d) Prove that: C0+4C1+7C2+10C3+...+(3n+1)Cn=(3n+2)2^(n-1) If (1+x)ⁿ=C0+C1x+C2x²+...+Cnxⁿ Binomial (Simply Australia Things) View
	If (1 + x)^n = C 0+C 1x+C 2x^2 + ... + C nx^n,then for n odd,C 0^2-C 1^2+C 2^2-C 3^2 + ... +(-1)... (Doubtnut) View
	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 (Simply Australia Things) View