S1,S2,S3,...Sn are sums of n infinite geometric progressions. The first terms of these progressions are 1,22-1,23-1,...2n-1 and the common ratios are 1/2,1/22,1/23...1/2n. Calculate the value of S1+S2+...+Sn
S1,S2,S3,...Sn are sums of n infinite geometric progressions. The first terms of these progressions are 1,22-1,23-1,...2n-1 and the common ratios are 1/2,1/22,1/23...1/2n. Calculate the value of S1+S2+...+Sn