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

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
1). $a+\frac{2^{n-1} -1}{n}$
2). $a+2\frac{2^{n}-1}{n}$
3). $a+\frac{2^{n-1}}{n}$
4). $a+\frac{2^{n}-1}{n}$

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