In a game, players earn points by solving challenges. Luke starts with 150 points and earns points based on the following rule: for every challenge he solves, he earns a number of points equal to twice the number of challenges he has solved up to that point. If Luke solves a challenge on the first day, he will earn 2 points. For the next challenge, he earns 4 points (twice the number of the first challenge), then 6 points, and so on. How many points will Luke have at the end of solving his 10th challenge?