R.I. Gen. Laws § 34-18-41: Waiver of landlord’s right to terminate.

Acceptance of rent with knowledge of a default by the tenant or acceptance of performance by him or her that varies from the terms of the rental agreement constitutes a waiver of the landlord’s right to terminate the rental agreement for that breach, unless the landlord gives written notice within ten (10) days. However, acceptance of partial payment of rent shall not constitute a waiver of the balance due. Acceptance does not waive the landlord’s right to seek remedies for the default.