If ∑n=1∞an=S\sum_{n=1}^{\infty} a_n = S∑n=1∞an=S and an>0a_n > 0an>0, what is the sum of the series ∑n=1∞(an+12n)\sum_{n=1}^{\infty} (a_n + \frac{1}{2^n})∑n=1∞(an+2n1)?
S+1S + 1S+1
S+2S + 2S+2
S+1/2S + 1/2S+1/2
Impossible to determine