In a pteridophytes life cycle, the correct sequence of stages will be given as follows:

B $\rightarrow$ Meiosis in spore mother cells

A $\rightarrow$ Prothallus stage

D $\rightarrow$ Formation of archegonia and antheridia in gametophyte

$\mathrm{E} \rightarrow$ Transfer of antherozoids to the archegonia in presence of water

C $\rightarrow$ Fertilisation will occur

So, the correct sequence is $\mathrm{B} \rightarrow \mathrm{A} \rightarrow \mathrm{D} \rightarrow \mathrm{E} \rightarrow \mathrm{C}$