For the sequence a1, a2, a3. ..an, an is defined by an=1/2n−1−1/2n for each integer n≥1. What is the sum of the first 8 terms of the sequence?  Pick
A) 63/64
B) 127/128
C) 255/256
D) 511/512
E) 513/512
a1=1/2^0−1/2^1   a2=1/2^1−1/2^2....   a8=1/2^7−1/2^8   a1+a2+...+a8=1/2^0−1/2^8=255/256   The answer is 255/256.
<result>C</result>
For the sequence a1, a2, a3. ..an, an is defined by an=1/2n−1−1/2n for each integer n≥1. What is the sum of the first 8 terms of the sequence?