Question

@mathstudent55

4) Does the series 1/4 - 1/2 + 1 - 2 +....converge or diverge? If it converges, find the sum.

This is a find the error problem and it can be found on the link
http://assets.openstudy.com/updates/attachments/51945e4ee4b0d270317f72d7-melidalkae-1368678016525-chapter9findtheerrors1.pdf

It's on the very last page, very last problem, #4

Answer 1

For an alternating series to converge, the terms must be getting smaller, and at the limit, the terms must tend to zero. In this series, neither one of those conditions is met, so the series diverges.

Answer 2

Okay so you cannot find a sum when the series diverges?

Answer 3

Correct.
When a series converges, that means each term you add to it gets you closer and closer to a number.

Answer 4

Thanks @mathstudent55 :)

Answer 5

You're welcome.