Step 1: In the 3d transition series, density generally increases from left to right as atomic mass increases and atomic volume decreases.
Step 2: However, Zinc ($Zn$) is an exception; it has a larger atomic radius than the preceding transition metals because its 3d subshell is completely filled, leading to more electron-electron repulsion.
Step 3: Therefore, $Zn$ has a lower density than $Cr$. The correct increasing order is $Zn<Cr<Fe<Co<Cu$.