Find the sum of the first 20 terms of sequence 1 / 2,2 / 4,3 / 8 / 4 / 16

Find the sum of the first 20 terms of sequence 1 / 2,2 / 4,3 / 8 / 4 / 16

We can find the general term formula by observing the sequence, where the numerator increases in turn and the denominator is the nth power of 2. That is to say, the nth power of N / 2, Sn = write a few terms and 1 / 2Sn = write a few terms. Note that here and the above SN formula move a position to make sn-1 / 2Sn subtract here, subtract the same denominator, and they