Does the infinite geometric series diverge or converge? Explain
2+6+18+54+...
The given series is 2+6+18+54+...
To determine if this series converges or diverges we can calculate the common ratio, r.
r = 6/2 = 3
Since the common ratio, r, is greater than 1, the series diverges. This can also be seen by observing that the terms of the series keep increasing with no bound.