## precal Group Title sequence problem _ Calculus one year ago one year ago

1. precal Group Title

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2. precal Group Title

don't I need to use some formula?

3. zepdrix Group Title

So is the question, "Does the series converge?" ? :o

4. precal Group Title

yes, I know it converges to 9/4

5. precal Group Title

doesn't help that I don't know why?

6. precal Group Title

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7. precal Group Title

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8. zepdrix Group Title

|dw:1351477186152:dw| Hmm can't you do some type of comparison test? Sorry I'm a little rusty with these :D We know that the p-series 1/n^2 converses, and our series is smaller than that one :O something like that..

9. precal Group Title

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10. precal Group Title

I am as rusty as you

11. zepdrix Group Title

Hmm :[

12. precal Group Title

how about if I do this as a telescoping series? as if I know what I am talking about

13. zepdrix Group Title

Yah that's prolly the way to approach it c: try to recognize a pattern coming out of it.

14. precal Group Title

I know if I factor out the 9 and then I just need to create the (1/4)

15. zepdrix Group Title

Oh oh oh i think it's coming back to me a little bit... I think in order to write it as a telescoping series, we need to rewrite it as partial fractions, then we'll get terms being subtracted in each n, allowing for some cancellations probably.

16. colorful Group Title

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17. zepdrix Group Title

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18. zepdrix Group Title

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19. colorful Group Title

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20. zepdrix Group Title

oh sorry XD hehe

21. precal Group Title

sorry, I ran off to watch some youtube videos on this

22. zepdrix Group Title

Mmmm that's prolly a good idea :) I don't think I'm getting anywhere with this one lol

23. precal Group Title

|dw:1351479960238:dw|got this as well

24. precal Group Title

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25. colorful Group Title

the next few terms are something like (1/8-1/5+1/12)+(1/10-1/6+1/14)

26. precal Group Title

I thought somehow we would be left with 1/4 as the first term then it would make sense that they solution is 9/4

27. precal Group Title

wonder if we messed up on the partial fraction

28. colorful Group Title

I don't think so

29. zepdrix Group Title

Ummm I doubt it, it's likely that the terms just cancel out in a strange way :D

30. precal Group Title

well that is good to know

31. precal Group Title

yes, wonder if we have to do more than the first three terms to see it

32. zepdrix Group Title

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33. precal Group Title

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34. zepdrix Group Title

Oh hmm :D

35. precal Group Title

ok that is all I see right now

36. zepdrix Group Title

nasty little problem :3

37. precal Group Title

yes, well I think I will sleep on it, would not be the first time I went to bed with an unsolved problem....thanks..........

38. precal Group Title

|dw:1351531637965:dw|ok I think I solved it @zepdrix

39. zepdrix Group Title

Hmmmmmm that doesn't quite look right <:o you can't split up the base of a fraction. $\frac{ 1 }{ 2n+4 }=\frac{ 1 }{ \infty+4 }=0$

40. zepdrix Group Title

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