Question

The arithmetic mean of the series $n_{c_0},n_{c_1},n_{c_2}\dots .n_{c_n}$ is

• A. $\frac{2^n}{n+1}$
• B. $2^n$
• C. $\frac{2^{n-1}}{n+1}$
• D. $\frac{2^n}{n-1}$

Answer 1

Answer: (A)

$A.M=\frac{n_{c_0}+n_{c_1}+n_{c_2}+\dots ..+n_{c_n}}{n+1}=\frac{2^n}{n+1}$