If one lamp in a series circuit burns out, would the other lamps be affected? explain.

Yes, the other lamps will be affected.

Explanation:

Since lamp is connected in series circuit and in series the same current flows throughout the supply and the current is not divide and flows through a particular path.

So, if the supply across any one  circuit element is interrupted then this result in the interruption of supply to the whole circuit. In series current is same throughout but the voltage or potential difference across each circuit element varies as the resistance or reactance of that element varies and remain independent of the current.

Thus if one lamp in series burns out, all other lamps will also be disconnected due to the discontinuity of the current as the circuit is interrupted as a result of burn out.