If the ends of the wire are joined to form a circuit each loop forms a path for induced current, the currents of each loop are accumulative.
Imagine two closely spaced parallel wires. If you run a current through one, it creates a magnetic field that induces current into the second wire, which causes an even stronger magnetic field. Now if you run the same current through both wires, they both create magnetic fields that affect each other. Any two loops in the wire are just like two parallel wires with the same current, both creating magnetic fields that affect each other. So a loop is like a bunch of parallel wires affecting each other.
