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University for me started last week, however I was unable to attend until now. I just e-mailed my professor and there is a quiz just next week and I have no notes and he will not give them to me. I'm wondering if anyone knows any good online sites that could help me catch up. Here are some of the questions to give you an idea of what I am looking for:

Question 1: Determine whether the sequence converges or diverges. If it converges, find the

limit.

(a) {1 + [(-1)^n]/2 }

(b) {1 + [(-1)^n]/3n }

(c) {sin(n)/n}

Question 2: Determine whether the sequence is increasing, decreasing or not monotonic. Is the sequences bounded? If the sequence is convergent, find its limit.

(a) { (sqrt(n)) / 1 + sqrt(n) }

(b) { 2 + 1/3^n }

Question 3: Determine whether the series is convergent or divergent. If it is convergent, find

its sum.

(a) [itex]\sum 4n+2 / 4n - 2[/itex]

Any advice on some good reference material would be GREATLY appreciated.. Thanks in advance!

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# Homework Help: Determine whether the sequence converges or diverges

**Physics Forums | Science Articles, Homework Help, Discussion**