JEE Math Practice Question
The sum of the first 20 terms of the series $$1 + {3 \over 2} + {7 \over 4} + {{15} \over 8} + {{31} \over {16}} + ...,$$ is :
- A.$$38 + {1 \over {{2^{19}}}}$$
- B.$$38 + {1 \over {{2^{20}}}}$$
- C.$$39 + {1 \over {{2^{20}}}}$$
- D.$$39 + {1 \over {{2^{19}}}}$$
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