When no business is pending, what can a member propose to close the meeting?

The correct answer, which is to adjourn, is appropriate in the context of parliamentary procedure. When a meeting has reached a point where no further business is pending and the meeting needs to be officially ended, adjourning is the proper action. Adjourning signifies that the meeting is completed and no further discussions or decisions will take place.

In formal meetings, it is essential to ensure that the conclusion occurs in an orderly manner, and adjourning fulfills this requirement. This action can typically be proposed without further debate, and it simply signals that all agenda items have been addressed.

The other options, while they may relate to the management and flow of a meeting, do not serve the same function as adjourning. For instance, postponing relates to delaying a decision on an issue to a later time, while recess refers to a temporary break in the proceedings. Suspending could relate to stopping certain actions but does not denote the formal closure of the meeting. Therefore, adjourning is the most fitting choice when there are no further matters to discuss, as it logically concludes the meeting.