For the infinite geometric series ∑n=1∞5⋅(13)n−1\sum_{n=1}^{\infty} 5 \cdot \left(\frac{1}{3}\right)^{n-1}∑n=1∞5⋅(31)n−1, which statements are true?
The series diverges because the first term is 5
The series converges to 152\frac{15}{2}215
The series converges because ∣r∣=13<1|r| = \frac{1}{3} < 1∣r∣=31<1
The series converges to 5