SOLUTION: Does the infinite geometric series diverge or converge? Explain.
2+6+18+54+...
a - It diverges: it does not have a sum.
b - It converges: it does not have a sum
c - It dive
Question 853285: Does the infinite geometric series diverge or converge? Explain.
2+6+18+54+...
a - It diverges: it does not have a sum.
b - It converges: it does not have a sum
c - It diverges: it has a sum
d - It converges: it has a sum Answer by Edwin McCravy(20056) (Show Source): You can put this solution on YOUR website!
It diverges; it does not have a sum.
Reason: a geometric series converges if and only if
the common ratio, r, is such that |r| < 1, and
diverges if |r|>=1. The common ratio here is r = 3.
Edwin