OK, it's probably best you give us the actual question, exactly as it was presented to you.
Then, you can give us your thoughts on the matter - what are your ideas for the synthesis? What are the limitations / problems with these ideas?
Polymerisation, as has been mentioned, will likely lead to a mixture of molecular weights - control is possible but probably not to level of obtaining exactly 5 units. Perhaps you could use GPC or similar to isolate the desired product...
Use of protecting groups may also allow sequential extension of the molecule, unit by unit - prob quite tedious and tricky though...
I guess one could use tethered solid-phase chemistry in order to piece the molecule together one unit at a time.
Dunno...