How to show that $ 0 \to E_{0,n}^2 \to H_n \to E_{1,n-1}^2 \to 0 $ is exact?

Question

Suppose that a spectral sequence converging to $ H_\ast$ has $ E_{pq}^r = 0$ for all $ p\neq 0,1 $. Show that there are exact sequences $$ 0 \to E_{0,n}^2 \to H_n \to E_{1,n-1}^2 \to 0 \,. $$ Furthermore, generalize this claim for a spectral sequence with two non-zero columns at $ p=k,l \geq 0 $.

I've solved the first part of the exercise, but I don't see how to generalize this to nonadjacent columns $k$ and $l$.