13.14 Estimating the value of an alternating series

To estimate the value of a convergent, just add the first few terms. But where do we stop?

Related videos on series:

0:00 Introduction
0:20 Exercise: Estimating the Value of an Alternating Series
0:47 Review: Alternating Series Theorem
1:32 Setting Up the Solution
4:09 Theorem: Alternating Series Theorem Part 2
4:46 Finishing the Exercise

[jimmytan]

At 5:08 how come you know that that 1 at the numerator must be one? Shouldn't it generally be (-1)^(k+1) still? Since we know nothing about whether or not k+1 is even or odd. Thanks!