I'm working through Hatcher's unfinished book Spectral Sequences in Algebraic Topology and have found myself stuck on Exercise 2 on page 23:
Compute the Serre spectral sequence for homology with $\mathbb{Z}$ coefficients for the fibration $K(\mathbb{Z}_2,1) \rightarrow K(\mathbb{Z}_8,1) \rightarrow K(\mathbb{Z}_4,1).$
The question asks to compare with Example 1.6 in the text (a similar computation), but when I try to write out the first few pages, I can't see anything close to a nice pattern. Is there something I'm missing?