The sum of the first n terms of sequence 3 / 2,9 / 4,13 / 4,65 / 16 is___
3/2=1+1/2
9/4=2+1/4
13/4=3+1/4
65/16=4+1/16
.
An=n+2^(-n)
Sn=(1+2+...+n)+(1/2+1/4+1/8+1/16+...+1/2^n)
=(1+n)*n/2+(1-2^(-n))
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