Question

Show the series is convergent. How many terms of the series do we need to add in order to find the sum to the indicated accuracy. n=1,infinity, ((-1)^n)/(n2^n), abs(error) less than .0001

Answer 1

To find out how many terms you should sum up to be accurate within .0001 just solve the inequality 1/2n^n < 0.001 for n. A root test should work well to test the convergence

Answer 2

Thank you, it finally makes sense now. :)