The arithmetic mean of the series 1, 2, 4, 8, 16, . . . . . . , 2n is - Options: A . &nbsp$$\frac{{{2^n} - 1}}{{n + 1}}$$ B . &nbsp$$\frac{{{2^n} + 1}}{{n}}$$ C . &nbsp$$\frac{{{2^n} - 1}}{{n}}$$ D . &nbsp$$\frac{{{2^{n + 1}} - 1}}{{n + 1}}$$

The arithmetic mean of the series 1, 2, 4, 8, 16, . . . . . . , 2n is -

Question

The arithmetic mean of the series 1, 2, 4, 8, 16, . . . . . . , 2n is -

Options:

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

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

C . $$\frac{{{2^n} - 1}}{{n}}$$

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

Answer: Option D

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