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5 votes
Does the following infinite series converge or diverge 3/2+12/2+48/2+192/2 +....

2 Answers

3 votes

Answer:

It diverges; it does not have a sum.

Explanation:

User Themerlinproject
by
6.1k points
5 votes
3/2 to 12/2, grows
does not converge
r=4 since 3 times 4=12

if |r|≥1, then it diverges, if |r|<1, then it converges

|4|≥1
diverges
User Parkr
by
5.9k points