Quiz: Binary Lifting Recurrence

The recurrence up[v][k] = up[up[v][k-1]][k-1] computes the $2^k$-th ancestor. Why is this correct?

1. A.It adds $2^{k-1}$ twice, which equals $2^k$
2. B.It multiplies the jump distance by $2$ each level
3. C.It jumps $2^{k-1}$ steps from $v$, then another $2^{k-1}$ from where you land
4. D.It looks up the $k$-th entry in the parent's row