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Adjective: purposeless  pur-pus-lus
  1. Not evidencing any purpose or goal
  2. Serving no useful purpose; having no excuse for being
    "a life essentially purposeless";
    - otiose, pointless, senseless, superfluous, wasted

See also: adrift, afloat, aimless, desultory, directionless, meaningless, nonmeaningful, planless, rudderless, undirected, worthless

Antonym: purposeful