# What is the equation to represent the polymerization of ethene?

$n {H}_{2} C = C {H}_{2} \rightarrow {\left(C {H}_{2} C {H}_{2} C {H}_{2} C {H}_{2} C {H}_{2} C {H}_{2}\right)}_{e t c}$
Normally a metal catalyst is used to effect $C - C$ bond formation. These are very effective and active; so much so that you don't even have to remove the residue of the catalyst from the finished polymer.