$\mathrm{Fe}+ {\mathrm{CuSO}}_4\to \mathrm{Cu} + {\mathrm{FeSO}}_4$

The above is an example of [[1]] reaction.

In the reaction described, copper sulphate and iron, Fe, combine to generate ferrous sulphate and solid copper. This reaction is an example of a displacement reaction because ferrous displaces copper from its aqueous salt solution of copper sulphate. copper is replaced with iron.
Because ferrous is more reactive than copper, it can replace copper in its aqueous salt solution. Since ferrous is positioned before copper in the elemental activity sequence, it is more reactive and displaces copper.

Hence, the type of the given reaction is displacement reaction.

Therefore, displacement is the type of reaction in $\mathrm{Fe}+ {\mathrm{CuSO}}_4\to \mathrm{Cu} + {\mathrm{FeSO}}_4$