Question

二分一的平方+二分之一的三次方+二分之一的四次方一直加到二分之一的n次方是多少啊

Answer 1

1/2^2+1/2^3+……+1/2^n

=1/4+1/8+……+1/2^n

=1/4+1/8+……+1/2^n+1/2^n-1/2^n

=1/4+1/8+……+1/2(n-1)-1/2^n

=……

=1/4+1/8+1/8-1/2^n

=1/4+1/4-1/2^n

=1/2-1/2^n