M mindy88 New member Joined Apr 11, 2007 Messages 30 Apr 11, 2007 #1 Does the following sequence converge or diverge? An = [ (-1)^(n + 1) ] / [2n - 1] The answer is that it converges to 0, but I'm not sure where I should begin. Please help. Thank you!
Does the following sequence converge or diverge? An = [ (-1)^(n + 1) ] / [2n - 1] The answer is that it converges to 0, but I'm not sure where I should begin. Please help. Thank you!
G galactus Super Moderator Staff member Joined Sep 28, 2005 Messages 7,203 Apr 11, 2007 #2 The series does not converge to 0, but the limit of 1/(2n-1) does. Using the laternating series test, what does that tell you?.
The series does not converge to 0, but the limit of 1/(2n-1) does. Using the laternating series test, what does that tell you?.
M mindy88 New member Joined Apr 11, 2007 Messages 30 Apr 11, 2007 #3 This isn't a series problem, it's a sequence problem. would i compare it to 1/(2n-1)? and because that goes to 0, so does the original problem because of the comparison test? i didn't learn the alternating series test yet
This isn't a series problem, it's a sequence problem. would i compare it to 1/(2n-1)? and because that goes to 0, so does the original problem because of the comparison test? i didn't learn the alternating series test yet
