gratuitously

adverb2

1. •
   Freely; in the manner of a gift, without being earned.

   • We should feed and clothe him gratuitously sometimes, and recruit him with our cordials, before we judge of him. — 1854
2. •
   In a manner not demanded by the circumstances, without reason, justification, cause, or proof.

   • Secondly, Mr. Browne concludes, apparently rather gratuitously, on page 441 as follows[…] — 1881