The sum of first \( n \) terms of the series P \[ (1+2)+\left(1+2+2...

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The sum of first \( n \) terms of the series
P
\[
(1+2)+\left(1+2+2^{2}\right)+\left(1+2+2^{2}+2^{3}\right)+\ldots
\]
W is
(1) \( 4\left[2^{n}+1\right]+n \)
(2) \( 4\left[2^{n}-1\right]+n \)
(3) \( 4\left[2^{n}-1\right] \)
(4) \( 4\left[2^{n}-1\right]-n \)
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