+280 Consider the series 1/4 + 3/2 + 11/4 + 4 + 21/4 + ....
Does the series converge or diverge?
The series [converges, diverges].
You conclude this because the series is [arithmetic, geometric, or neither].
I concluded that the series is arithmetic because the difference is 5/4. I can't figure out if it converges or diverges though. If someone could help me, I'd appreciate it!
Since you determined the common difference of 5/4 and since there are no "-" signs in the sequence, it could only mean one thing. That each subsequent term is bigger than the previous term by 5/4, hence you must come to the conclusion that it will eventually diverge, or become bigger and bigger as terms tend to infinity.
