# The arithmetic mean of the series 1 2 4 8 16…

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

1. A. $$\frac{{{2^n} – 1}}{{n + 1}}$$
2. B. $$\frac{{{2^n} + 1}}{{n}}$$
3. C. $$\frac{{{2^n} – 1}}{{n}}$$
4. D. $$\frac{{{2^{n + 1}} – 1}}{{n + 1}}$$

= $$frac{{{2^{n + 1}} - 1}}{{2 - 1}}$$
= 2n + 1 $$-$$ 1
Arithmetic mean = $$frac{{{2^{n + 1}} - 1}}{{n + 1}}$$