 Suppose that we have a lamp and a means of turning the lamp off and on. Suppose that the lamp is initially off. In the first minute, we change the state of the lamp from off to on. In the next half minute, we change the state of the lamp from on to off. … In the next \(1/2^n\) minute we change the state of the lamp to the other state … . The question that we are invited to answer is: what is the state of the lamp at the end of the second minute?