Home
Class 11
MATHS
Prove that: C(1) + 2C(2) + 3C(3) + 4C(4...

Prove that: `C_(1) + 2C_(2) + 3C_(3) + 4C_(4) +….. + nC_(n) = n.2^(n-1)`

Promotional Banner

Similar Questions

Explore conceptually related problems

C_(1) + C_(2) + C_(3) + ….. C_(n) = 2^(n)-1

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

Show that C_0 + 2C_1 + 3C_2 +4C_3 +...+ (n + 1)C_n = (n + 2)2^(n-1)

Show that: C_1/C_0 + 2 C_2/C_1 + 3 C_3/C_2 + .... + n C_n/(C_n -1) = (n(n+1))/2

Show that: C_(0) + C_(2) + C_(4) +…… + C_(12) = C_(1) + C_(2) + C_(3) + C_(5) + ……. + C_(11) = 2048

C_1/C_0 + (2C_2)/C_1 + (3C_3)/C_2 + .... (nC_n)/C_(n-1) is

Show that C_1 + C_2 + C_3 +...+ C_n = 2^n - 1

C_(0) + C_(2) + C_(4) + C_(6) +C_(8) = C_(1) + C_(3) + C_(5) + C_(7) = 128

Show that C_0 + C_2 + C_4 + C_6 + C_8 = C_1 + C_3 + C_5 + C_7 = 128

Prove that ((2n)!) / (n!) = 2^n(2n - 1) (2n - 3) ... 5.3.1.