If \( \mathrm{f}(1)=1 \) and \( \mathrm{f}(\mathrm{n}+1)=2 \mathrm{...

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If \( \mathrm{f}(1)=1 \) and \( \mathrm{f}(\mathrm{n}+1)=2 \mathrm{f}(\mathrm{n})+1 \) if \( \mathrm{n} \geq 1 \), then \( \mathrm{f}(\mathrm{n}) \) is equal to
\( \mathrm{P} \)
(a) \( 2^{\mathrm{n}}+1 \)
(b) \( 2^{\mathrm{n}} \)
W)
(c) \( 2^{\mathrm{n}}-1 \)
(d) \( 2^{\mathrm{n}-1}-1 \)
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