Evaluating the given sequence, it is evident that the next number is twice the number prior to it. Thus, the given is a geometric sequence with first term (a1) equal to 1 and common ratio of 2. The geometric series may be calculated by the equation,
Sn = a1 x (1 - r^n) / (1 - r)
where Sn is the sum of n terms in this case, n = 11. Substituting the known values,
<span> Sn = 1 x (1 - 2^11) / (1 - 2) = 2047 </span> Thus, S11 is 2047.
