Which type of interest in leased property continues from one period to the next, such as week to week or month to month?

The correct answer is the type of interest known as an estate from period to period. This form of tenancy is characterized by its continuation from one rental period to the next, such as weekly or monthly. It follows the payment schedule established in the lease agreement, automatically renewing unless one party gives appropriate notice to terminate the lease.

In contrast, an estate for years is a leasehold interest for a fixed term, which does not automatically renew at the end of the term; it ends when the defined period concludes unless the lease specifies otherwise. An estate at will allows for tenancy that can be terminated at the will of either the landlord or the tenant, typically without a fixed duration, making it less stable. Tenancy at sufferance occurs when a tenant remains in possession after the lease has expired without the landlord's consent; this situation does not involve an active agreement for a continuous interest.

Therefore, the unique feature of an estate from period to period is its inherent nature of continuity and automatic renewal, differentiating it from other forms of tenancies.