Question

(1+2分之1)(1+2的平方分之1)+···+(1+2的16次幂分之1)

Answer 1

(1+2分之1)(1+2的平方分之1)+···+(1+2的16次幂分之1)

=(1-1/2)(1+2分之1)(1+2的平方分之1)+···+(1+2的16次幂分之1)/(1-1/2)

=(1-1/2^32)*2

=2-1/2^31