Average of n numbers is a. The first number is increased by 2, second one is inc

Question

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 . $$a + \frac{{2\left( {{2^n} - 1} \right)}}{n}$$

B . $$a + \frac{{{2^{n + 1}} - 1}}{n}$$

C . $$a + \frac{{{2^{n + 1}}}}{n}$$

D . $$a + 2\frac{{{2^{n - 1}}}}{n}$$

Answer: Option A

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