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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 -
Answer & Solution
Correct Answer:
Option
A
Series:- a, a + 2, a + 4.....
Sum = na + 2 + 4 + ..... upto n terms
Sum = na + Sn
$${S_n} = \frac{{2\left( {{2^n} - 1} \right)}}{{2 - 1}}$$
Average = $$a + \frac{{2\left( {{2^n} - 1} \right)}}{n}$$
Sum = na + 2 + 4 + ..... upto n terms
Sum = na + Sn
$${S_n} = \frac{{2\left( {{2^n} - 1} \right)}}{{2 - 1}}$$
Average = $$a + \frac{{2\left( {{2^n} - 1} \right)}}{n}$$
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