Given ∑n=1∞12n\sum_{n=1}^{\infty} \frac{1}{2^n}∑n=1∞2n1, what is the value of the common ratio rrr and does it converge?
r=1r = 1r=1, the series diverges.
r=12r = \frac{1}{2}r=21, the series converges.
r=2r = 2r=2, the series converges.
r=12r = \frac{1}{2}r=21, the series diverges.