Problem Statement
Initial Stock of Trading Cards Sold Half Plus One to Five Clients A collector has a batch of rare trading cards. He decides to sell them to five clients in the following manner: To the first client, he gives half of his current stock plus one extra card. To the second client, he gives half of the remaining stock plus one extra card. And he continues this pattern for all five clients. After selling to the fifth client, he has no cards left. How many trading cards did the collector have initially?