I have been sitting and reading two different text books and following examples but I still can not figure out what I am doing. I am trying to write each series in sigma notation and find its sum. Here are a few examples I am working on. 1+1/2+1/2^2+...+1/2^60, 1+1/2+1/3+...+1/100, 1+3+5+...+201, 2-2^3+2^5-2^7+...-2^15

The text explains sigma notation and I understand the lower and upper limit but I am having a hard time taking the information in the book, putting it into my brain and having something logical comming out that gives me the answer. I worked out the examples for the problems with the sum of a series but there were not any examples that looked like these, so I could not look at how they did one of these. It always helps when there is an example and it is broken down step by step so one can see how they arrived at the answer. I would appreciate any and all examples so I can grasp this concpet and finish the rest of my homework.

Thank you!!!

Keith Stevens