Prove that : C_0+3C_1+5C_2+…………..+(2n+1) C_n= (n+1) 2^n

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`C_0^2+3C_1^@+5C_2^2+...+(2n+1)C_n^2=((n+1)2n!)/(n!)^2` `C_0^2+3C_1^@+5C_2^2+...+(2n+1)C_n^2=((n+1)2n!)/(n!)^2`
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)
If `(1+x)^n=c_0+c_1x+c_2x^2+...+c_nx^n` then the value of `c_0+3c_1+5c_2+....+(2n+1)c_n` is- If `(1+x)^n=c_0+c_1x+c_2x^2+...+c_nx^n` then the value of `c_0+3c_1+5c_2+....+(2n+1)c_n` is-
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.
If (1+x)n=C0+C1x+C2x2…+Cnxn then the value of C0+3C1+5C2+….+(2n+1)Cn.... If (1+x)n=C0+C1x+C2x2…+Cnxn then the value of C0+3C1+5C2+….+(2n+1)Cn....
🧠 Can You Prove It? The Visual Secret Behind 1+3+5+...+(2n-1)=n² | Mathematical Proof #mathshorts 🧠 Can You Prove It? The Visual Secret Behind 1+3+5+...+(2n-1)=n² | Mathematical Proof #mathshorts
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_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