For what values of xxx does the geometric series ∑n=0∞(3x−2)n5n\sum_{n=0}^{\infty} \frac{(3x-2)^n}{5^n}∑n=0∞5n(3x−2)n converge?
−1<x<1-1 < x < 1−1<x<1
−1<x<73-1 < x < \frac{7}{3}−1<x<37
0<x<20 < x < 20<x<2
13<x<1\frac{1}{3} < x < 131<x<1