Home/Question #2148
PracticeMedium

Q.If (1+x)n=∑r=0ncrxr(1 + x)^{n} = \sum_{r=0}^{n} c_r x^r, then c1+2c2+3c3+⋯+ncnc_1 + 2c_2 + 3c_3 + \cdots + n c_n equals

a
n⋅2n−1n \cdot 2^{n-1}
b
n⋅2nn \cdot 2^n
c
(n+1)2n−1(n+1) 2^{n-1}
d
n(n+1)2n−2n(n+1)2^{n-2}

Correct Answer: Option A

The correct solution involves applying the fundamental concept to derive the final value step by step...

Unlock Detailed Solution

Register for Free

Already a member? Login here