Average of n numbers is a. The first number is Increased by 2, second one is increased by 4, the third one is Increased by 8 and so on. The average of the new numbers Is:

Options

A. `a + (2^(n+1) - 1)/(n)`
B. `a + (2(2^(n-1) - 1))/(n)`
C. `a + (2^(n-1))/(n)`
D. `a + (2^(n-1) + 1)/(n)`

Answer

B