Suppose you toss a coin and will win $1 if it comes up heads. If it comes up tails, you toss again. This time you will receive $2 if it comes up heads. If it comes up tails, toss again. This time you w receive $4 if it is heads. Continue in this fashion for a total of 1,000 flips of the coin, after which you receive nothing if it comes up tails. What is the mathematical expectation for this game? $ x