Question

Given that the series the summation from n=1 to infinity of [(-1)^(n+1)/√n is convergent, find a value of n for which the nth partial sum is guaranteed to approximate the sum of the series to two decimal places.

a) 39,999
b) 3,999
c) 399
d) 39

Answer 1

well, the terms alternate + and - so if we find an n where the n th term magnitude - the n-1 th term magnitude difference is less than .015 we are there

Answer 2

I am sorry but I don't get it. Please help me more with this one. Thanks

Answer 3

check the Remainder Theorem for alternating series